How Do You Find HCF Using Division By Common Factors_-What Is Common Factor Exam_HD
- 2 years ago
"2 Examples Of HCF"
Introduction Of HCF
"what is hcf"?
"HCF" - Highest Common Factor
The "Highest Common Factor" (HCF) of two numbers is the highest possible number which divides both the numbers completely. The "highest common factor" (HCF) is also called the greatest common divisor (GCD).
There are many ways to find the HCF of two numbers. One of the quickest ways to find the "hcf" of two or more numbers is by using the prime factorization method. Explore the world @HCF by going through
"Three Steps Of HCF"
Step 1: Divide the largest number by the smallest number.
Step 2: Take divisor as new dividend and remainder as the new divisor, i.e. divide the first divisor by the first remainder.
Step 3: Proceed till the remainder is zero and the last divisor will be the HCF of the given numbers.
Therefore, HCF of 24 and 15 is 3.
"First HCF Example Solve" :-
56 and 32
"hcf examples"
The HCF of 32 and 56 is 8. To calculate the HCF (Highest Common Factor) of 32 and 56, we need to factor each number (factors of 32 = 1, 2, 4, 8, 16, 32; factors of 56 = 1, 2, 4, 7, 8, 14, 28, 56) and choose the "highest factor" that exactly divides both 32 and 56, i.e., 8.
Factors of 32: 1, 2, 4, 8, 16, 32
Factors of 56: 1, 2, 4, 7, 8, 14, 28, 56
HCF of 40, 60 and 75 by Prime Factorization
Prime factorization of 40, 60 and 75 is (2 × 2 × 2 × 5), (2 × 2 × 3 × 5) and (3 × 5 × 5) respectively. As visible, 40, 60 and 75 have only one common prime factor i.e. 5. Hence, the HCF of 40, 60 and 75 is 5.
HCF of 40, 60 and 75
HCF of 40, 60 and 75 is the largest possible number that divides 40, 60 and 75 exactly without any remainder. The factors of 40, 60 and 75 are (1, 2, 4, 5, 8, 10, 20, 40), (1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60) and (1, 3, 5, 15, 25, 75) respectively. There are 3 commonly used methods to find the "hcf" of 40, 60 and 75 - long division, Euclidean algorithm, and prime factorization.
7:29 Second HCF Example Solve-
40, 60, 75
HCF of 40, 60 and 75 by Listing Common Factors
Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40
Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Factors of 75: 1, 3, 5, 15, 25, 75
Thank you,
(आपला आभारी आहे, धन्यवाद )
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Introduction Of HCF
"what is hcf"?
"HCF" - Highest Common Factor
The "Highest Common Factor" (HCF) of two numbers is the highest possible number which divides both the numbers completely. The "highest common factor" (HCF) is also called the greatest common divisor (GCD).
There are many ways to find the HCF of two numbers. One of the quickest ways to find the "hcf" of two or more numbers is by using the prime factorization method. Explore the world @HCF by going through
"Three Steps Of HCF"
Step 1: Divide the largest number by the smallest number.
Step 2: Take divisor as new dividend and remainder as the new divisor, i.e. divide the first divisor by the first remainder.
Step 3: Proceed till the remainder is zero and the last divisor will be the HCF of the given numbers.
Therefore, HCF of 24 and 15 is 3.
"First HCF Example Solve" :-
56 and 32
"hcf examples"
The HCF of 32 and 56 is 8. To calculate the HCF (Highest Common Factor) of 32 and 56, we need to factor each number (factors of 32 = 1, 2, 4, 8, 16, 32; factors of 56 = 1, 2, 4, 7, 8, 14, 28, 56) and choose the "highest factor" that exactly divides both 32 and 56, i.e., 8.
Factors of 32: 1, 2, 4, 8, 16, 32
Factors of 56: 1, 2, 4, 7, 8, 14, 28, 56
HCF of 40, 60 and 75 by Prime Factorization
Prime factorization of 40, 60 and 75 is (2 × 2 × 2 × 5), (2 × 2 × 3 × 5) and (3 × 5 × 5) respectively. As visible, 40, 60 and 75 have only one common prime factor i.e. 5. Hence, the HCF of 40, 60 and 75 is 5.
HCF of 40, 60 and 75
HCF of 40, 60 and 75 is the largest possible number that divides 40, 60 and 75 exactly without any remainder. The factors of 40, 60 and 75 are (1, 2, 4, 5, 8, 10, 20, 40), (1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60) and (1, 3, 5, 15, 25, 75) respectively. There are 3 commonly used methods to find the "hcf" of 40, 60 and 75 - long division, Euclidean algorithm, and prime factorization.
7:29 Second HCF Example Solve-
40, 60, 75
HCF of 40, 60 and 75 by Listing Common Factors
Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40
Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Factors of 75: 1, 3, 5, 15, 25, 75
Thank you,
(आपला आभारी आहे, धन्यवाद )
Importance Of Green Leafy Vegetable Information plz click on
https://youtu.be/q-qhS-8VPw0
How Is The Life Of A FARMER? For Watching this Plz click on
https://youtu.be/fnIQYBPOYe4
For Watching Information About Onions Plz Click On
https://youtu.be/0dS8uaC90w0
For Watching Garlic Health Benefits Plz Click On
https://youtu.be/ruRTxlkMVwQ
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#hcf #lcm #divisionofcommonfactor
#hcflcm #lcm_and_hcf #hcfbydivisionmethod #lcm_and_hcf_trick