Greatest Common Factor of 107/124, 922/387, 207/658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 107/124, 922/387, 207/658

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 107/124,922/387,207/658

Given fractions are 107/124,922/387,207/658

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 107,922,207

Greatest Common Factor of Numerators i.e. GCF of 107,922,207 is 1 .

LCM of Denominators means LCM of 124,387,658 as per the given fractions.

LCM of 124,387,658 is 15788052 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 107,922,207

GCF of Fractions 107/124,922/387,207/658 is 1/15788052

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

Greatest Common Factor of 107,922,207 By Matching Biggest Common Factor Method

Greatest Common Factor of 107,922,207 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 922

List of positive integer factors of 922 that divides 922 without a remainder.

1,2,461,922

Factors of 207

List of positive integer factors of 207 that divides 207 without a remainder.

1,3,9,23,69,207

Greatest Common Factor

We found the factors 107,922,207 . The biggest common factor number is the GCF number.
So the greatest common factor 107,922,207 is 1.

Lets's calculate LCM of 124,387,658

2 124, 387, 658
62, 387, 329

∴ So the LCM of the given numbers is 2 x 62 x 387 x 329 = 15788052

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15788052

Therefore, the GCF of Fractions 107/124,922/387,207/658 is 1/15788052

Least Common Multiple of 124,387,658 with GCF Formula

Least Common Multiple of 124,387,658 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 124,387,658 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(124,387,658) = 1

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

GCF(124,387,658) x common factors =1 x 2 = 2

LCM(124,387,658) = ( 124 × 387 × 658 ) / 2

LCM(124,387,658) = 31576104 / 2

LCM(124,387,658) = 15788052


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 107/124, 922/387, 207/658

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 107/124, 922/387, 207/658?

Answer: GCF of Numerators as per given numbers 107/124, 922/387, 207/658 is

GCF of Numerators i.e. for 107,922,207 is 1

LCM of denominators i.e. for 124,387,658 is 15788052.

Thus, GCF of Fractions is 1/15788052.Finally, GCF of Fractions for 107/124, 922/387, 207/658 is 1/15788052.