Greatest Common Factor of 88/73, 56/60, 812/195

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 88/73, 56/60, 812/195

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 88/73,56/60,812/195

Given fractions are 88/73,56/60,812/195

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 88,56,812

Greatest Common Factor of Numerators i.e. GCF of 88,56,812 is 4 .

LCM of Denominators means LCM of 73,60,195 as per the given fractions.

LCM of 73,60,195 is 56940 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 88,56,812

GCF of Fractions 88/73,56/60,812/195 is 4/56940

2 88, 56, 812
2 44, 28, 406
22, 14, 203

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 88,56,812 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,56,812 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

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 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Greatest Common Factor

We found the factors 88,56,812 . The biggest common factor number is the GCF number.
So the greatest common factor 88,56,812 is 4.

Lets's calculate LCM of 73,60,195

3 73, 60, 195
5 73, 20, 65
73, 4, 13

∴ So the LCM of the given numbers is 3 x 5 x 73 x 4 x 13 = 56940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/56940

Therefore, the GCF of Fractions 88/73,56/60,812/195 is 4/56940

Least Common Multiple of 73,60,195 with GCF Formula

Least Common Multiple of 73,60,195 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 73,60,195 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,60,195) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(73,60,195) x common factors =1 x 15 = 15

LCM(73,60,195) = ( 73 × 60 × 195 ) / 15

LCM(73,60,195) = 854100 / 15

LCM(73,60,195) = 56940


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 88/73, 56/60, 812/195

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 88/73, 56/60, 812/195?

Answer: GCF of Numerators as per given numbers 88/73, 56/60, 812/195 is

GCF of Numerators i.e. for 88,56,812 is 4

LCM of denominators i.e. for 73,60,195 is 56940.

Thus, GCF of Fractions is 4/56940.Finally, GCF of Fractions for 88/73, 56/60, 812/195 is 4/56940.