Greatest Common Factor of 5275/95, 9141/115

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5275/95, 9141/115

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 5275/95,9141/115

Given fractions are 5275/95,9141/115

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 5275,9141

Greatest Common Factor of Numerators i.e. GCF of 5275,9141 is 1 .

LCM of Denominators means LCM of 95,115 as per the given fractions.

LCM of 95,115 is 2185 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5275,9141

GCF of Fractions 5275/95,9141/115 is 1/2185

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

Greatest Common Factor of 5275,9141 By Matching Biggest Common Factor Method

Greatest Common Factor of 5275,9141 By Matching Biggest Common Factor Method

Factors of 5275

List of positive integer factors of 5275 that divides 5275 without a remainder.

1,5,25,211,1055,5275

Factors of 9141

List of positive integer factors of 9141 that divides 9141 without a remainder.

1,3,11,33,277,831,3047,9141

Greatest Common Factor

We found the factors 5275,9141 . The biggest common factor number is the GCF number.
So the greatest common factor 5275,9141 is 1.

Lets's calculate LCM of 95,115

5 95, 115
19, 23

∴ So the LCM of the given numbers is 5 x 19 x 23 = 2185

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2185

Therefore, the GCF of Fractions 5275/95,9141/115 is 1/2185

Least Common Multiple of 95,115 with GCF Formula

Least Common Multiple of 95,115 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 95,115 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,115) = 5

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

GCF(95,115) x common factors =5 x 1 = 5

LCM(95,115) = ( 95 × 115 ) / 5

LCM(95,115) = 10925 / 5

LCM(95,115) = 2185


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 5275/95, 9141/115

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 5275/95, 9141/115?

Answer: GCF of Numerators as per given numbers 5275/95, 9141/115 is

GCF of Numerators i.e. for 5275,9141 is 1

LCM of denominators i.e. for 95,115 is 2185.

Thus, GCF of Fractions is 1/2185.Finally, GCF of Fractions for 5275/95, 9141/115 is 1/2185.