Greatest Common Factor of 60/654, 524/521, 916/735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 60/654, 524/521, 916/735

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 60/654,524/521,916/735

Given fractions are 60/654,524/521,916/735

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 60,524,916

Greatest Common Factor of Numerators i.e. GCF of 60,524,916 is 4 .

LCM of Denominators means LCM of 654,521,735 as per the given fractions.

LCM of 654,521,735 is 83479830 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 60,524,916

GCF of Fractions 60/654,524/521,916/735 is 4/83479830

2 60, 524, 916
2 30, 262, 458
15, 131, 229

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 60,524,916 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,524,916 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Greatest Common Factor

We found the factors 60,524,916 . The biggest common factor number is the GCF number.
So the greatest common factor 60,524,916 is 4.

Lets's calculate LCM of 654,521,735

3 654, 521, 735
218, 521, 245

∴ So the LCM of the given numbers is 3 x 218 x 521 x 245 = 83479830

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/83479830

Therefore, the GCF of Fractions 60/654,524/521,916/735 is 4/83479830

Least Common Multiple of 654,521,735 with GCF Formula

Least Common Multiple of 654,521,735 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 654,521,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(654,521,735) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(654,521,735) x common factors =1 x 3 = 3

LCM(654,521,735) = ( 654 × 521 × 735 ) / 3

LCM(654,521,735) = 250439490 / 3

LCM(654,521,735) = 83479830


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 60/654, 524/521, 916/735

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 60/654, 524/521, 916/735?

Answer: GCF of Numerators as per given numbers 60/654, 524/521, 916/735 is

GCF of Numerators i.e. for 60,524,916 is 4

LCM of denominators i.e. for 654,521,735 is 83479830.

Thus, GCF of Fractions is 4/83479830.Finally, GCF of Fractions for 60/654, 524/521, 916/735 is 4/83479830.