Greatest Common Factor of 6508/672, 7640/322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6508/672, 7640/322

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 6508/672,7640/322

Given fractions are 6508/672,7640/322

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 6508,7640

Greatest Common Factor of Numerators i.e. GCF of 6508,7640 is 4 .

LCM of Denominators means LCM of 672,322 as per the given fractions.

LCM of 672,322 is 15456 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6508,7640

GCF of Fractions 6508/672,7640/322 is 4/15456

2 6508, 7640
2 3254, 3820
1627, 1910

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 6508,7640 By Matching Biggest Common Factor Method

Greatest Common Factor of 6508,7640 By Matching Biggest Common Factor Method

Factors of 6508

List of positive integer factors of 6508 that divides 6508 without a remainder.

1,2,4,1627,3254,6508

Factors of 7640

List of positive integer factors of 7640 that divides 7640 without a remainder.

1,2,4,5,8,10,20,40,191,382,764,955,1528,1910,3820,7640

Greatest Common Factor

We found the factors 6508,7640 . The biggest common factor number is the GCF number.
So the greatest common factor 6508,7640 is 4.

Lets's calculate LCM of 672,322

2 672, 322
7 336, 161
48, 23

∴ So the LCM of the given numbers is 2 x 7 x 48 x 23 = 15456

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/15456

Therefore, the GCF of Fractions 6508/672,7640/322 is 4/15456

Least Common Multiple of 672,322 with GCF Formula

Least Common Multiple of 672,322 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 672,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(672,322) = 14

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

GCF(672,322) x common factors =14 x 1 = 14

LCM(672,322) = ( 672 × 322 ) / 14

LCM(672,322) = 216384 / 14

LCM(672,322) = 15456


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 6508/672, 7640/322

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 6508/672, 7640/322?

Answer: GCF of Numerators as per given numbers 6508/672, 7640/322 is

GCF of Numerators i.e. for 6508,7640 is 4

LCM of denominators i.e. for 672,322 is 15456.

Thus, GCF of Fractions is 4/15456.Finally, GCF of Fractions for 6508/672, 7640/322 is 4/15456.