Greatest Common Factor of 6358/420, 9687/744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6358/420, 9687/744

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 6358/420,9687/744

Given fractions are 6358/420,9687/744

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 6358,9687

Greatest Common Factor of Numerators i.e. GCF of 6358,9687 is 1 .

LCM of Denominators means LCM of 420,744 as per the given fractions.

LCM of 420,744 is 26040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6358,9687

GCF of Fractions 6358/420,9687/744 is 1/26040

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

Greatest Common Factor of 6358,9687 By Matching Biggest Common Factor Method

Greatest Common Factor of 6358,9687 By Matching Biggest Common Factor Method

Factors of 6358

List of positive integer factors of 6358 that divides 6358 without a remainder.

1,2,11,17,22,34,187,289,374,578,3179,6358

Factors of 9687

List of positive integer factors of 9687 that divides 9687 without a remainder.

1,3,3229,9687

Greatest Common Factor

We found the factors 6358,9687 . The biggest common factor number is the GCF number.
So the greatest common factor 6358,9687 is 1.

Lets's calculate LCM of 420,744

2 420, 744
2 210, 372
3 105, 186
35, 62

∴ So the LCM of the given numbers is 2 x 2 x 3 x 35 x 62 = 26040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26040

Therefore, the GCF of Fractions 6358/420,9687/744 is 1/26040

Least Common Multiple of 420,744 with GCF Formula

Least Common Multiple of 420,744 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 420,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(420,744) = 12

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

GCF(420,744) x common factors =12 x 1 = 12

LCM(420,744) = ( 420 × 744 ) / 12

LCM(420,744) = 312480 / 12

LCM(420,744) = 26040


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 6358/420, 9687/744

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 6358/420, 9687/744?

Answer: GCF of Numerators as per given numbers 6358/420, 9687/744 is

GCF of Numerators i.e. for 6358,9687 is 1

LCM of denominators i.e. for 420,744 is 26040.

Thus, GCF of Fractions is 1/26040.Finally, GCF of Fractions for 6358/420, 9687/744 is 1/26040.