Greatest Common Factor of 972/28, 160/63, 690/308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 972/28, 160/63, 690/308

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 972/28,160/63,690/308

Given fractions are 972/28,160/63,690/308

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 972,160,690

Greatest Common Factor of Numerators i.e. GCF of 972,160,690 is 2 .

LCM of Denominators means LCM of 28,63,308 as per the given fractions.

LCM of 28,63,308 is 2772 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 972,160,690

GCF of Fractions 972/28,160/63,690/308 is 2/2772

2 972, 160, 690
486, 80, 345

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

Greatest Common Factor of 972,160,690 By Matching Biggest Common Factor Method

Greatest Common Factor of 972,160,690 By Matching Biggest Common Factor Method

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Greatest Common Factor

We found the factors 972,160,690 . The biggest common factor number is the GCF number.
So the greatest common factor 972,160,690 is 2.

Lets's calculate LCM of 28,63,308

2 28, 63, 308
2 14, 63, 154
7 7, 63, 77
1, 9, 11

∴ So the LCM of the given numbers is 2 x 2 x 7 x 1 x 9 x 11 = 2772

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2772

Therefore, the GCF of Fractions 972/28,160/63,690/308 is 2/2772

Least Common Multiple of 28,63,308 with GCF Formula

Least Common Multiple of 28,63,308 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 28,63,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,63,308) = 7

common factors(in case of two or more numbers have common factors) = 28

GCF(28,63,308) x common factors =7 x 28 = 196

LCM(28,63,308) = ( 28 × 63 × 308 ) / 196

LCM(28,63,308) = 543312 / 196

LCM(28,63,308) = 2772


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 972/28, 160/63, 690/308

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 972/28, 160/63, 690/308?

Answer: GCF of Numerators as per given numbers 972/28, 160/63, 690/308 is

GCF of Numerators i.e. for 972,160,690 is 2

LCM of denominators i.e. for 28,63,308 is 2772.

Thus, GCF of Fractions is 2/2772.Finally, GCF of Fractions for 972/28, 160/63, 690/308 is 2/2772.