Greatest Common Factor of 10/173, 56/654, 968/545

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 10/173, 56/654, 968/545

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 10/173,56/654,968/545

Given fractions are 10/173,56/654,968/545

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 10,56,968

Greatest Common Factor of Numerators i.e. GCF of 10,56,968 is 2 .

LCM of Denominators means LCM of 173,654,545 as per the given fractions.

LCM of 173,654,545 is 565710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 10,56,968

GCF of Fractions 10/173,56/654,968/545 is 2/565710

2 10, 56, 968
5, 28, 484

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

Greatest Common Factor of 10,56,968 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,56,968 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Greatest Common Factor

We found the factors 10,56,968 . The biggest common factor number is the GCF number.
So the greatest common factor 10,56,968 is 2.

Lets's calculate LCM of 173,654,545

109 173, 654, 545
173, 6, 5

∴ So the LCM of the given numbers is 109 x 173 x 6 x 5 = 565710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/565710

Therefore, the GCF of Fractions 10/173,56/654,968/545 is 2/565710

Least Common Multiple of 173,654,545 with GCF Formula

Least Common Multiple of 173,654,545 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 173,654,545 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(173,654,545) = 1

common factors(in case of two or more numbers have common factors) = 109

GCF(173,654,545) x common factors =1 x 109 = 109

LCM(173,654,545) = ( 173 × 654 × 545 ) / 109

LCM(173,654,545) = 61662390 / 109

LCM(173,654,545) = 565710


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 10/173, 56/654, 968/545

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 10/173, 56/654, 968/545?

Answer: GCF of Numerators as per given numbers 10/173, 56/654, 968/545 is

GCF of Numerators i.e. for 10,56,968 is 2

LCM of denominators i.e. for 173,654,545 is 565710.

Thus, GCF of Fractions is 2/565710.Finally, GCF of Fractions for 10/173, 56/654, 968/545 is 2/565710.