Greatest Common Factor of 975/96, 271/98, 160/520

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 975/96, 271/98, 160/520

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 975/96,271/98,160/520

Given fractions are 975/96,271/98,160/520

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 975,271,160

Greatest Common Factor of Numerators i.e. GCF of 975,271,160 is 1 .

LCM of Denominators means LCM of 96,98,520 as per the given fractions.

LCM of 96,98,520 is 305760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 975,271,160

GCF of Fractions 975/96,271/98,160/520 is 1/305760

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

Greatest Common Factor of 975,271,160 By Matching Biggest Common Factor Method

Greatest Common Factor of 975,271,160 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 271

List of positive integer factors of 271 that divides 271 without a remainder.

1,271

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

Greatest Common Factor

We found the factors 975,271,160 . The biggest common factor number is the GCF number.
So the greatest common factor 975,271,160 is 1.

Lets's calculate LCM of 96,98,520

2 96, 98, 520
2 48, 49, 260
2 24, 49, 130
12, 49, 65

∴ So the LCM of the given numbers is 2 x 2 x 2 x 12 x 49 x 65 = 305760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/305760

Therefore, the GCF of Fractions 975/96,271/98,160/520 is 1/305760

Least Common Multiple of 96,98,520 with GCF Formula

Least Common Multiple of 96,98,520 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 96,98,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,98,520) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(96,98,520) x common factors =2 x 8 = 16

LCM(96,98,520) = ( 96 × 98 × 520 ) / 16

LCM(96,98,520) = 4892160 / 16

LCM(96,98,520) = 305760


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 975/96, 271/98, 160/520

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 975/96, 271/98, 160/520?

Answer: GCF of Numerators as per given numbers 975/96, 271/98, 160/520 is

GCF of Numerators i.e. for 975,271,160 is 1

LCM of denominators i.e. for 96,98,520 is 305760.

Thus, GCF of Fractions is 1/305760.Finally, GCF of Fractions for 975/96, 271/98, 160/520 is 1/305760.