Greatest Common Factor of 975/42, 687/72, 153/492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 975/42, 687/72, 153/492

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 975/42,687/72,153/492

Given fractions are 975/42,687/72,153/492

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 975,687,153

Greatest Common Factor of Numerators i.e. GCF of 975,687,153 is 3 .

LCM of Denominators means LCM of 42,72,492 as per the given fractions.

LCM of 42,72,492 is 20664 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 975,687,153

GCF of Fractions 975/42,687/72,153/492 is 3/20664

3 975, 687, 153
325, 229, 51

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 975,687,153 By Matching Biggest Common Factor Method

Greatest Common Factor of 975,687,153 By Matching Biggest Common Factor Method

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

Greatest Common Factor

We found the factors 975,687,153 . The biggest common factor number is the GCF number.
So the greatest common factor 975,687,153 is 3.

Lets's calculate LCM of 42,72,492

2 42, 72, 492
2 21, 36, 246
3 21, 18, 123
7, 6, 41

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 6 x 41 = 20664

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/20664

Therefore, the GCF of Fractions 975/42,687/72,153/492 is 3/20664

Least Common Multiple of 42,72,492 with GCF Formula

Least Common Multiple of 42,72,492 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 42,72,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,72,492) = 6

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

GCF(42,72,492) x common factors =6 x 12 = 72

LCM(42,72,492) = ( 42 × 72 × 492 ) / 72

LCM(42,72,492) = 1487808 / 72

LCM(42,72,492) = 20664


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 975/42, 687/72, 153/492

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 975/42, 687/72, 153/492?

Answer: GCF of Numerators as per given numbers 975/42, 687/72, 153/492 is

GCF of Numerators i.e. for 975,687,153 is 3

LCM of denominators i.e. for 42,72,492 is 20664.

Thus, GCF of Fractions is 3/20664.Finally, GCF of Fractions for 975/42, 687/72, 153/492 is 3/20664.