Greatest Common Factor of 968/7147, 341/5118

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 968/7147, 341/5118

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 968/7147,341/5118

Given fractions are 968/7147,341/5118

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 968,341

Greatest Common Factor of Numerators i.e. GCF of 968,341 is 11 .

LCM of Denominators means LCM of 7147,5118 as per the given fractions.

LCM of 7147,5118 is 36578346 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 968,341

GCF of Fractions 968/7147,341/5118 is 11/36578346

11 968, 341
88, 31

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 968,341 By Matching Biggest Common Factor Method

Greatest Common Factor of 968,341 By Matching Biggest Common Factor Method

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Factors of 341

List of positive integer factors of 341 that divides 341 without a remainder.

1,11,31,341

Greatest Common Factor

We found the factors 968,341 . The biggest common factor number is the GCF number.
So the greatest common factor 968,341 is 11.

Lets's calculate LCM of 7147,5118

Given numbers has no common factors except 1. So, there LCM is their product i.e 36578346

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/36578346

Therefore, the GCF of Fractions 968/7147,341/5118 is 11/36578346

Least Common Multiple of 7147,5118 with GCF Formula

Least Common Multiple of 7147,5118 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 7147,5118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7147,5118) = 1

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

GCF(7147,5118) x common factors =1 x 1 = 1

LCM(7147,5118) = ( 7147 × 5118 ) / 1

LCM(7147,5118) = 36578346 / 1

LCM(7147,5118) = 36578346


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 968/7147, 341/5118

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 968/7147, 341/5118?

Answer: GCF of Numerators as per given numbers 968/7147, 341/5118 is

GCF of Numerators i.e. for 968,341 is 11

LCM of denominators i.e. for 7147,5118 is 36578346.

Thus, GCF of Fractions is 11/36578346.Finally, GCF of Fractions for 968/7147, 341/5118 is 11/36578346.