Greatest Common Factor of 9178/957, 9021/517

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9178/957, 9021/517

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 9178/957,9021/517

Given fractions are 9178/957,9021/517

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 9178,9021

Greatest Common Factor of Numerators i.e. GCF of 9178,9021 is 1 .

LCM of Denominators means LCM of 957,517 as per the given fractions.

LCM of 957,517 is 44979 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9178,9021

GCF of Fractions 9178/957,9021/517 is 1/44979

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

Greatest Common Factor of 9178,9021 By Matching Biggest Common Factor Method

Greatest Common Factor of 9178,9021 By Matching Biggest Common Factor Method

Factors of 9178

List of positive integer factors of 9178 that divides 9178 without a remainder.

1,2,13,26,353,706,4589,9178

Factors of 9021

List of positive integer factors of 9021 that divides 9021 without a remainder.

1,3,31,93,97,291,3007,9021

Greatest Common Factor

We found the factors 9178,9021 . The biggest common factor number is the GCF number.
So the greatest common factor 9178,9021 is 1.

Lets's calculate LCM of 957,517

11 957, 517
87, 47

∴ So the LCM of the given numbers is 11 x 87 x 47 = 44979

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44979

Therefore, the GCF of Fractions 9178/957,9021/517 is 1/44979

Least Common Multiple of 957,517 with GCF Formula

Least Common Multiple of 957,517 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 957,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(957,517) = 11

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

GCF(957,517) x common factors =11 x 1 = 11

LCM(957,517) = ( 957 × 517 ) / 11

LCM(957,517) = 494769 / 11

LCM(957,517) = 44979


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 9178/957, 9021/517

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 9178/957, 9021/517?

Answer: GCF of Numerators as per given numbers 9178/957, 9021/517 is

GCF of Numerators i.e. for 9178,9021 is 1

LCM of denominators i.e. for 957,517 is 44979.

Thus, GCF of Fractions is 1/44979.Finally, GCF of Fractions for 9178/957, 9021/517 is 1/44979.