Greatest Common Factor of 107/39, 612/92, 476/656

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 107/39, 612/92, 476/656

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 107/39,612/92,476/656

Given fractions are 107/39,612/92,476/656

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 107,612,476

Greatest Common Factor of Numerators i.e. GCF of 107,612,476 is 1 .

LCM of Denominators means LCM of 39,92,656 as per the given fractions.

LCM of 39,92,656 is 588432 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 107,612,476

GCF of Fractions 107/39,612/92,476/656 is 1/588432

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

Greatest Common Factor of 107,612,476 By Matching Biggest Common Factor Method

Greatest Common Factor of 107,612,476 By Matching Biggest Common Factor Method

Factors of 107

List of positive integer factors of 107 that divides 107 without a remainder.

1,107

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Greatest Common Factor

We found the factors 107,612,476 . The biggest common factor number is the GCF number.
So the greatest common factor 107,612,476 is 1.

Lets's calculate LCM of 39,92,656

2 39, 92, 656
2 39, 46, 328
39, 23, 164

∴ So the LCM of the given numbers is 2 x 2 x 39 x 23 x 164 = 588432

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/588432

Therefore, the GCF of Fractions 107/39,612/92,476/656 is 1/588432

Least Common Multiple of 39,92,656 with GCF Formula

Least Common Multiple of 39,92,656 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 39,92,656 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,92,656) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(39,92,656) x common factors =1 x 4 = 4

LCM(39,92,656) = ( 39 × 92 × 656 ) / 4

LCM(39,92,656) = 2353728 / 4

LCM(39,92,656) = 588432


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 107/39, 612/92, 476/656

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 107/39, 612/92, 476/656?

Answer: GCF of Numerators as per given numbers 107/39, 612/92, 476/656 is

GCF of Numerators i.e. for 107,612,476 is 1

LCM of denominators i.e. for 39,92,656 is 588432.

Thus, GCF of Fractions is 1/588432.Finally, GCF of Fractions for 107/39, 612/92, 476/656 is 1/588432.