Greatest Common Factor of 92/638, 535/956, 504/714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 92/638, 535/956, 504/714

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 92/638,535/956,504/714

Given fractions are 92/638,535/956,504/714

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 92,535,504

Greatest Common Factor of Numerators i.e. GCF of 92,535,504 is 1 .

LCM of Denominators means LCM of 638,956,714 as per the given fractions.

LCM of 638,956,714 is 108872148 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 92,535,504

GCF of Fractions 92/638,535/956,504/714 is 1/108872148

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

Greatest Common Factor of 92,535,504 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,535,504 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 535

List of positive integer factors of 535 that divides 535 without a remainder.

1,5,107,535

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Greatest Common Factor

We found the factors 92,535,504 . The biggest common factor number is the GCF number.
So the greatest common factor 92,535,504 is 1.

Lets's calculate LCM of 638,956,714

2 638, 956, 714
319, 478, 357

∴ So the LCM of the given numbers is 2 x 319 x 478 x 357 = 108872148

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/108872148

Therefore, the GCF of Fractions 92/638,535/956,504/714 is 1/108872148

Least Common Multiple of 638,956,714 with GCF Formula

Least Common Multiple of 638,956,714 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 638,956,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(638,956,714) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(638,956,714) x common factors =2 x 2 = 4

LCM(638,956,714) = ( 638 × 956 × 714 ) / 4

LCM(638,956,714) = 435488592 / 4

LCM(638,956,714) = 108872148


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 92/638, 535/956, 504/714

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 92/638, 535/956, 504/714?

Answer: GCF of Numerators as per given numbers 92/638, 535/956, 504/714 is

GCF of Numerators i.e. for 92,535,504 is 1

LCM of denominators i.e. for 638,956,714 is 108872148.

Thus, GCF of Fractions is 1/108872148.Finally, GCF of Fractions for 92/638, 535/956, 504/714 is 1/108872148.