Greatest Common Factor of 56/73, 10/58, 182/932

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 56/73, 10/58, 182/932

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 56/73,10/58,182/932

Given fractions are 56/73,10/58,182/932

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 56,10,182

Greatest Common Factor of Numerators i.e. GCF of 56,10,182 is 2 .

LCM of Denominators means LCM of 73,58,932 as per the given fractions.

LCM of 73,58,932 is 1973044 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 56,10,182

GCF of Fractions 56/73,10/58,182/932 is 2/1973044

2 56, 10, 182
28, 5, 91

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

Greatest Common Factor of 56,10,182 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,10,182 By Matching Biggest Common Factor Method

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 10

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

1,2,5,10

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1,2,7,13,14,26,91,182

Greatest Common Factor

We found the factors 56,10,182 . The biggest common factor number is the GCF number.
So the greatest common factor 56,10,182 is 2.

Lets's calculate LCM of 73,58,932

2 73, 58, 932
73, 29, 466

∴ So the LCM of the given numbers is 2 x 73 x 29 x 466 = 1973044

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1973044

Therefore, the GCF of Fractions 56/73,10/58,182/932 is 2/1973044

Least Common Multiple of 73,58,932 with GCF Formula

Least Common Multiple of 73,58,932 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 73,58,932 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,58,932) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(73,58,932) x common factors =1 x 2 = 2

LCM(73,58,932) = ( 73 × 58 × 932 ) / 2

LCM(73,58,932) = 3946088 / 2

LCM(73,58,932) = 1973044


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 56/73, 10/58, 182/932

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 56/73, 10/58, 182/932?

Answer: GCF of Numerators as per given numbers 56/73, 10/58, 182/932 is

GCF of Numerators i.e. for 56,10,182 is 2

LCM of denominators i.e. for 73,58,932 is 1973044.

Thus, GCF of Fractions is 2/1973044.Finally, GCF of Fractions for 56/73, 10/58, 182/932 is 2/1973044.