Greatest Common Factor of 917/660, 454/588, 971/492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 917/660, 454/588, 971/492

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 917/660,454/588,971/492

Given fractions are 917/660,454/588,971/492

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 917,454,971

Greatest Common Factor of Numerators i.e. GCF of 917,454,971 is 1 .

LCM of Denominators means LCM of 660,588,492 as per the given fractions.

LCM of 660,588,492 is 1325940 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 917,454,971

GCF of Fractions 917/660,454/588,971/492 is 1/1325940

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

Greatest Common Factor of 917,454,971 By Matching Biggest Common Factor Method

Greatest Common Factor of 917,454,971 By Matching Biggest Common Factor Method

Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1,2,227,454

Factors of 971

List of positive integer factors of 971 that divides 971 without a remainder.

1,971

Greatest Common Factor

We found the factors 917,454,971 . The biggest common factor number is the GCF number.
So the greatest common factor 917,454,971 is 1.

Lets's calculate LCM of 660,588,492

2 660, 588, 492
2 330, 294, 246
3 165, 147, 123
55, 49, 41

∴ So the LCM of the given numbers is 2 x 2 x 3 x 55 x 49 x 41 = 1325940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1325940

Therefore, the GCF of Fractions 917/660,454/588,971/492 is 1/1325940

Least Common Multiple of 660,588,492 with GCF Formula

Least Common Multiple of 660,588,492 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 660,588,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(660,588,492) = 12

common factors(in case of two or more numbers have common factors) = 12

GCF(660,588,492) x common factors =12 x 12 = 144

LCM(660,588,492) = ( 660 × 588 × 492 ) / 144

LCM(660,588,492) = 190935360 / 144

LCM(660,588,492) = 1325940


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 917/660, 454/588, 971/492

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 917/660, 454/588, 971/492?

Answer: GCF of Numerators as per given numbers 917/660, 454/588, 971/492 is

GCF of Numerators i.e. for 917,454,971 is 1

LCM of denominators i.e. for 660,588,492 is 1325940.

Thus, GCF of Fractions is 1/1325940.Finally, GCF of Fractions for 917/660, 454/588, 971/492 is 1/1325940.