Greatest Common Factor of 695/54, 540/10, 456/456

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 695/54, 540/10, 456/456

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 695/54,540/10,456/456

Given fractions are 695/54,540/10,456/456

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 695,540,456

Greatest Common Factor of Numerators i.e. GCF of 695,540,456 is 1 .

LCM of Denominators means LCM of 54,10,456 as per the given fractions.

LCM of 54,10,456 is 20520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 695,540,456

GCF of Fractions 695/54,540/10,456/456 is 1/20520

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

Greatest Common Factor of 695,540,456 By Matching Biggest Common Factor Method

Greatest Common Factor of 695,540,456 By Matching Biggest Common Factor Method

Factors of 695

List of positive integer factors of 695 that divides 695 without a remainder.

1,5,139,695

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Greatest Common Factor

We found the factors 695,540,456 . The biggest common factor number is the GCF number.
So the greatest common factor 695,540,456 is 1.

Lets's calculate LCM of 54,10,456

2 54, 10, 456
3 27, 5, 228
9, 5, 76

∴ So the LCM of the given numbers is 2 x 3 x 9 x 5 x 76 = 20520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20520

Therefore, the GCF of Fractions 695/54,540/10,456/456 is 1/20520

Least Common Multiple of 54,10,456 with GCF Formula

Least Common Multiple of 54,10,456 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 54,10,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,10,456) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(54,10,456) x common factors =2 x 6 = 12

LCM(54,10,456) = ( 54 × 10 × 456 ) / 12

LCM(54,10,456) = 246240 / 12

LCM(54,10,456) = 20520


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 695/54, 540/10, 456/456

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 695/54, 540/10, 456/456?

Answer: GCF of Numerators as per given numbers 695/54, 540/10, 456/456 is

GCF of Numerators i.e. for 695,540,456 is 1

LCM of denominators i.e. for 54,10,456 is 20520.

Thus, GCF of Fractions is 1/20520.Finally, GCF of Fractions for 695/54, 540/10, 456/456 is 1/20520.