Greatest Common Factor of 7679/256, 4418/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7679/256, 4418/748

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 7679/256,4418/748

Given fractions are 7679/256,4418/748

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 7679,4418

Greatest Common Factor of Numerators i.e. GCF of 7679,4418 is 1 .

LCM of Denominators means LCM of 256,748 as per the given fractions.

LCM of 256,748 is 47872 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7679,4418

GCF of Fractions 7679/256,4418/748 is 1/47872

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 7679,4418 By Matching Biggest Common Factor Method

Greatest Common Factor of 7679,4418 By Matching Biggest Common Factor Method

Factors of 7679

List of positive integer factors of 7679 that divides 7679 without a remainder.

1,7,1097,7679

Factors of 4418

List of positive integer factors of 4418 that divides 4418 without a remainder.

1,2,47,94,2209,4418

Greatest Common Factor

We found the factors 7679,4418 . The biggest common factor number is the GCF number.
So the greatest common factor 7679,4418 is 1.

Lets's calculate LCM of 256,748

2 256, 748
2 128, 374
64, 187

∴ So the LCM of the given numbers is 2 x 2 x 64 x 187 = 47872

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47872

Therefore, the GCF of Fractions 7679/256,4418/748 is 1/47872

Least Common Multiple of 256,748 with GCF Formula

Least Common Multiple of 256,748 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 256,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(256,748) = 4

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

GCF(256,748) x common factors =4 x 1 = 4

LCM(256,748) = ( 256 × 748 ) / 4

LCM(256,748) = 191488 / 4

LCM(256,748) = 47872


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 7679/256, 4418/748

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 7679/256, 4418/748?

Answer: GCF of Numerators as per given numbers 7679/256, 4418/748 is

GCF of Numerators i.e. for 7679,4418 is 1

LCM of denominators i.e. for 256,748 is 47872.

Thus, GCF of Fractions is 1/47872.Finally, GCF of Fractions for 7679/256, 4418/748 is 1/47872.