Greatest Common Factor of 975/28, 5460/912

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 975/28, 5460/912

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 975/28,5460/912

Given fractions are 975/28,5460/912

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 975,5460

Greatest Common Factor of Numerators i.e. GCF of 975,5460 is 195 .

LCM of Denominators means LCM of 28,912 as per the given fractions.

LCM of 28,912 is 6384 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 975,5460

GCF of Fractions 975/28,5460/912 is 195/6384

3 975, 5460
5 325, 1820
13 65, 364
5, 28

∴ So the GCF of the given numbers is 3 x 5 x 13 = 195

Greatest Common Factor of 975,5460 By Matching Biggest Common Factor Method

Greatest Common Factor of 975,5460 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 5460

List of positive integer factors of 5460 that divides 5460 without a remainder.

1,2,3,4,5,6,7,10,12,13,14,15,20,21,26,28,30,35,39,42,52,60,65,70,78,84,91,105,130,140,156,182,195,210,260,273,364,390,420,455,546,780,910,1092,1365,1820,2730,5460

Greatest Common Factor

We found the factors 975,5460 . The biggest common factor number is the GCF number.
So the greatest common factor 975,5460 is 195.

Lets's calculate LCM of 28,912

2 28, 912
2 14, 456
7, 228

∴ So the LCM of the given numbers is 2 x 2 x 7 x 228 = 6384

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 195/6384

Therefore, the GCF of Fractions 975/28,5460/912 is 195/6384

Least Common Multiple of 28,912 with GCF Formula

Least Common Multiple of 28,912 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 28,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,912) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(28,912) x common factors =4 x 1 = 4

LCM(28,912) = ( 28 × 912 ) / 4

LCM(28,912) = 25536 / 4

LCM(28,912) = 6384


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 975/28, 5460/912

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 975/28, 5460/912?

Answer: GCF of Numerators as per given numbers 975/28, 5460/912 is

GCF of Numerators i.e. for 975,5460 is 195

LCM of denominators i.e. for 28,912 is 6384.

Thus, GCF of Fractions is 195/6384.Finally, GCF of Fractions for 975/28, 5460/912 is 195/6384.