Greatest Common Factor of 8952/354, 7361/9145

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8952/354, 7361/9145

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 8952/354,7361/9145

Given fractions are 8952/354,7361/9145

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 8952,7361

Greatest Common Factor of Numerators i.e. GCF of 8952,7361 is 1 .

LCM of Denominators means LCM of 354,9145 as per the given fractions.

LCM of 354,9145 is 54870 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8952,7361

GCF of Fractions 8952/354,7361/9145 is 1/54870

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

Greatest Common Factor of 8952,7361 By Matching Biggest Common Factor Method

Greatest Common Factor of 8952,7361 By Matching Biggest Common Factor Method

Factors of 8952

List of positive integer factors of 8952 that divides 8952 without a remainder.

1,2,3,4,6,8,12,24,373,746,1119,1492,2238,2984,4476,8952

Factors of 7361

List of positive integer factors of 7361 that divides 7361 without a remainder.

1,17,433,7361

Greatest Common Factor

We found the factors 8952,7361 . The biggest common factor number is the GCF number.
So the greatest common factor 8952,7361 is 1.

Lets's calculate LCM of 354,9145

59 354, 9145
6, 155

∴ So the LCM of the given numbers is 59 x 6 x 155 = 54870

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54870

Therefore, the GCF of Fractions 8952/354,7361/9145 is 1/54870

Least Common Multiple of 354,9145 with GCF Formula

Least Common Multiple of 354,9145 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 354,9145 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(354,9145) = 59

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

GCF(354,9145) x common factors =59 x 1 = 59

LCM(354,9145) = ( 354 × 9145 ) / 59

LCM(354,9145) = 3237330 / 59

LCM(354,9145) = 54870


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 8952/354, 7361/9145

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 8952/354, 7361/9145?

Answer: GCF of Numerators as per given numbers 8952/354, 7361/9145 is

GCF of Numerators i.e. for 8952,7361 is 1

LCM of denominators i.e. for 354,9145 is 54870.

Thus, GCF of Fractions is 1/54870.Finally, GCF of Fractions for 8952/354, 7361/9145 is 1/54870.