Greatest Common Factor of 7564/879, 7634/6064

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7564/879, 7634/6064

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 7564/879,7634/6064

Given fractions are 7564/879,7634/6064

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 7564,7634

Greatest Common Factor of Numerators i.e. GCF of 7564,7634 is 2 .

LCM of Denominators means LCM of 879,6064 as per the given fractions.

LCM of 879,6064 is 5330256 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7564,7634

GCF of Fractions 7564/879,7634/6064 is 2/5330256

2 7564, 7634
3782, 3817

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7564,7634 By Matching Biggest Common Factor Method

Greatest Common Factor of 7564,7634 By Matching Biggest Common Factor Method

Factors of 7564

List of positive integer factors of 7564 that divides 7564 without a remainder.

1,2,4,31,61,62,122,124,244,1891,3782,7564

Factors of 7634

List of positive integer factors of 7634 that divides 7634 without a remainder.

1,2,11,22,347,694,3817,7634

Greatest Common Factor

We found the factors 7564,7634 . The biggest common factor number is the GCF number.
So the greatest common factor 7564,7634 is 2.

Lets's calculate LCM of 879,6064

Given numbers has no common factors except 1. So, there LCM is their product i.e 5330256

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5330256

Therefore, the GCF of Fractions 7564/879,7634/6064 is 2/5330256

Least Common Multiple of 879,6064 with GCF Formula

Least Common Multiple of 879,6064 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 879,6064 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(879,6064) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(879,6064) x common factors =1 x 1 = 1

LCM(879,6064) = ( 879 × 6064 ) / 1

LCM(879,6064) = 5330256 / 1

LCM(879,6064) = 5330256


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 7564/879, 7634/6064

1. 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.

2. What is the GCF of Fractions for 7564/879, 7634/6064?

Answer: GCF of Numerators as per given numbers 7564/879, 7634/6064 is

GCF of Numerators i.e. for 7564,7634 is 2

LCM of denominators i.e. for 879,6064 is 5330256.

Thus, GCF of Fractions is 2/5330256.Finally, GCF of Fractions for 7564/879, 7634/6064 is 2/5330256.