GCF of 4879/512, 9717/9651
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4879/512, 9717/9651 i.e 41/4941312 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4879/512, 9717/9651.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 4879/512,9717/9651?
Given fractions are 4879/512,9717/9651
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 4879/512,9717/9651, numerators are 4879,9717
Denominators are 512,9651
The GCF of 4879,9717 is 41 .
LCM of 512,9651 is 4941312.
The greatest common factor of 4879/512,9717/9651 = [GCF of 4879,9717]/[LCM of 512,9651]= 41/4941312
Therefore, the GCF of 4879/512,9717/9651 is 41/4941312.
To find the highest common factor of 4879,9717, we have to find the factors of both numbers and list the highest common factor.
The factors of 4879 are 1, 7, 17, 41, 119, 287, 697, 4879
The factors of 9717 are 1, 3, 41, 79, 123, 237, 3239, 9717
The HCF of 4879,9717 is 41.
Lets's calculate GCF of 4879,9717
| 41 | 4879, 9717 |
| 119, 237 |
∴ So the GCF of the given numbers is 41 = 41
Greatest Common Factor of 4879,9717 By Matching Biggest Common Factor Method
Now, list down the factors of 4879
:1,7,17,41,119,287,697,4879
Now, list down the factors of 9717
:1,3,41,79,123,237,3239,9717
Greatest Common Factor
We found the factors 4879,9717 . The biggest common factor number is the GCF number.
So the greatest common factor 4879,9717 is 41.
Lets's calculate LCM of 512,9651
Given numbers has no common factors except 1. So, there LCM is their product i.e 4941312
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 41/4941312
Therefore, the GCF of Fractions 4879/512,9717/9651 is 41/4941312
Least Common Multiple of 512,9651 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 512,9651 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(512,9651) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(512,9651) x common factors =1 x 1 = 1
LCM(512,9651) = ( 512 × 9651 ) / 1
LCM(512,9651) = 4941312 / 1
LCM(512,9651) = 4941312
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FAQs on GCF of Fractions of 4879/512, 9717/9651
1. What is the HCF of 4879,9717?
The HCF of 4879,9717 is 41
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 4879/512, 9717/9651?
Answer: GCF of Numerators as per given numbers 4879/512, 9717/9651 is
GCF of Numerators i.e. for 4879,9717 is 41
LCM of denominators i.e. for 512,9651 is 4941312.
Thus, GCF of Fractions is 41/4941312.Finally, GCF of Fractions for 4879/512, 9717/9651 is 41/4941312.