Greatest Common Factor of 932/718, 206/257, 364/177

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 932/718, 206/257, 364/177

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 932/718,206/257,364/177

Given fractions are 932/718,206/257,364/177

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 932,206,364

Greatest Common Factor of Numerators i.e. GCF of 932,206,364 is 2 .

LCM of Denominators means LCM of 718,257,177 as per the given fractions.

LCM of 718,257,177 is 32661102 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 932,206,364

GCF of Fractions 932/718,206/257,364/177 is 2/32661102

2 932, 206, 364
466, 103, 182

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

Greatest Common Factor of 932,206,364 By Matching Biggest Common Factor Method

Greatest Common Factor of 932,206,364 By Matching Biggest Common Factor Method

Factors of 932

List of positive integer factors of 932 that divides 932 without a remainder.

1,2,4,233,466,932

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Greatest Common Factor

We found the factors 932,206,364 . The biggest common factor number is the GCF number.
So the greatest common factor 932,206,364 is 2.

Lets's calculate LCM of 718,257,177

Given numbers has no common factors except 1. So, there LCM is their product i.e 32661102

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/32661102

Therefore, the GCF of Fractions 932/718,206/257,364/177 is 2/32661102

Least Common Multiple of 718,257,177 with GCF Formula

Least Common Multiple of 718,257,177 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 718,257,177 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(718,257,177) = 1

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

GCF(718,257,177) x common factors =1 x 1 = 1

LCM(718,257,177) = ( 718 × 257 × 177 ) / 1

LCM(718,257,177) = 32661102 / 1

LCM(718,257,177) = 32661102


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 932/718, 206/257, 364/177

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 932/718, 206/257, 364/177?

Answer: GCF of Numerators as per given numbers 932/718, 206/257, 364/177 is

GCF of Numerators i.e. for 932,206,364 is 2

LCM of denominators i.e. for 718,257,177 is 32661102.

Thus, GCF of Fractions is 2/32661102.Finally, GCF of Fractions for 932/718, 206/257, 364/177 is 2/32661102.