Greatest Common Factor of 631/718, 8291/478

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 631/718, 8291/478

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 631/718,8291/478

Given fractions are 631/718,8291/478

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 631,8291

Greatest Common Factor of Numerators i.e. GCF of 631,8291 is 1 .

LCM of Denominators means LCM of 718,478 as per the given fractions.

LCM of 718,478 is 171602 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 631,8291

GCF of Fractions 631/718,8291/478 is 1/171602

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

Greatest Common Factor of 631,8291 By Matching Biggest Common Factor Method

Greatest Common Factor of 631,8291 By Matching Biggest Common Factor Method

Factors of 631

List of positive integer factors of 631 that divides 631 without a remainder.

1,631

Factors of 8291

List of positive integer factors of 8291 that divides 8291 without a remainder.

1,8291

Greatest Common Factor

We found the factors 631,8291 . The biggest common factor number is the GCF number.
So the greatest common factor 631,8291 is 1.

Lets's calculate LCM of 718,478

2 718, 478
359, 239

∴ So the LCM of the given numbers is 2 x 359 x 239 = 171602

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/171602

Therefore, the GCF of Fractions 631/718,8291/478 is 1/171602

Least Common Multiple of 718,478 with GCF Formula

Least Common Multiple of 718,478 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 718,478 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(718,478) = 2

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

GCF(718,478) x common factors =2 x 1 = 2

LCM(718,478) = ( 718 × 478 ) / 2

LCM(718,478) = 343204 / 2

LCM(718,478) = 171602


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 631/718, 8291/478

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 631/718, 8291/478?

Answer: GCF of Numerators as per given numbers 631/718, 8291/478 is

GCF of Numerators i.e. for 631,8291 is 1

LCM of denominators i.e. for 718,478 is 171602.

Thus, GCF of Fractions is 1/171602.Finally, GCF of Fractions for 631/718, 8291/478 is 1/171602.