Greatest Common Factor of 832/718, 3974/578

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 832/718, 3974/578

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 832/718,3974/578

Given fractions are 832/718,3974/578

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 832,3974

Greatest Common Factor of Numerators i.e. GCF of 832,3974 is 2 .

LCM of Denominators means LCM of 718,578 as per the given fractions.

LCM of 718,578 is 207502 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 832,3974

GCF of Fractions 832/718,3974/578 is 2/207502

2 832, 3974
416, 1987

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

Greatest Common Factor of 832,3974 By Matching Biggest Common Factor Method

Greatest Common Factor of 832,3974 By Matching Biggest Common Factor Method

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Factors of 3974

List of positive integer factors of 3974 that divides 3974 without a remainder.

1,2,1987,3974

Greatest Common Factor

We found the factors 832,3974 . The biggest common factor number is the GCF number.
So the greatest common factor 832,3974 is 2.

Lets's calculate LCM of 718,578

2 718, 578
359, 289

∴ So the LCM of the given numbers is 2 x 359 x 289 = 207502

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/207502

Therefore, the GCF of Fractions 832/718,3974/578 is 2/207502

Least Common Multiple of 718,578 with GCF Formula

Least Common Multiple of 718,578 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 718,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(718,578) = 2

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

GCF(718,578) x common factors =2 x 1 = 2

LCM(718,578) = ( 718 × 578 ) / 2

LCM(718,578) = 415004 / 2

LCM(718,578) = 207502


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 832/718, 3974/578

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 832/718, 3974/578?

Answer: GCF of Numerators as per given numbers 832/718, 3974/578 is

GCF of Numerators i.e. for 832,3974 is 2

LCM of denominators i.e. for 718,578 is 207502.

Thus, GCF of Fractions is 2/207502.Finally, GCF of Fractions for 832/718, 3974/578 is 2/207502.