Greatest Common Factor of 8437/391, 7929/659

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8437/391, 7929/659

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 8437/391,7929/659

Given fractions are 8437/391,7929/659

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 8437,7929

Greatest Common Factor of Numerators i.e. GCF of 8437,7929 is 1 .

LCM of Denominators means LCM of 391,659 as per the given fractions.

LCM of 391,659 is 257669 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8437,7929

GCF of Fractions 8437/391,7929/659 is 1/257669

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

Greatest Common Factor of 8437,7929 By Matching Biggest Common Factor Method

Greatest Common Factor of 8437,7929 By Matching Biggest Common Factor Method

Factors of 8437

List of positive integer factors of 8437 that divides 8437 without a remainder.

1,11,13,59,143,649,767,8437

Factors of 7929

List of positive integer factors of 7929 that divides 7929 without a remainder.

1,3,9,881,2643,7929

Greatest Common Factor

We found the factors 8437,7929 . The biggest common factor number is the GCF number.
So the greatest common factor 8437,7929 is 1.

Lets's calculate LCM of 391,659

Given numbers has no common factors except 1. So, there LCM is their product i.e 257669

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/257669

Therefore, the GCF of Fractions 8437/391,7929/659 is 1/257669

Least Common Multiple of 391,659 with GCF Formula

Least Common Multiple of 391,659 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 391,659 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(391,659) = 1

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

GCF(391,659) x common factors =1 x 1 = 1

LCM(391,659) = ( 391 × 659 ) / 1

LCM(391,659) = 257669 / 1

LCM(391,659) = 257669


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 8437/391, 7929/659

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 8437/391, 7929/659?

Answer: GCF of Numerators as per given numbers 8437/391, 7929/659 is

GCF of Numerators i.e. for 8437,7929 is 1

LCM of denominators i.e. for 391,659 is 257669.

Thus, GCF of Fractions is 1/257669.Finally, GCF of Fractions for 8437/391, 7929/659 is 1/257669.