Greatest Common Factor of 6945/41, 7147/491

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6945/41, 7147/491

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 6945/41,7147/491

Given fractions are 6945/41,7147/491

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 6945,7147

Greatest Common Factor of Numerators i.e. GCF of 6945,7147 is 1 .

LCM of Denominators means LCM of 41,491 as per the given fractions.

LCM of 41,491 is 20131 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6945,7147

GCF of Fractions 6945/41,7147/491 is 1/20131

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

Greatest Common Factor of 6945,7147 By Matching Biggest Common Factor Method

Greatest Common Factor of 6945,7147 By Matching Biggest Common Factor Method

Factors of 6945

List of positive integer factors of 6945 that divides 6945 without a remainder.

1,3,5,15,463,1389,2315,6945

Factors of 7147

List of positive integer factors of 7147 that divides 7147 without a remainder.

1,7,1021,7147

Greatest Common Factor

We found the factors 6945,7147 . The biggest common factor number is the GCF number.
So the greatest common factor 6945,7147 is 1.

Lets's calculate LCM of 41,491

Given numbers has no common factors except 1. So, there LCM is their product i.e 20131

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20131

Therefore, the GCF of Fractions 6945/41,7147/491 is 1/20131

Least Common Multiple of 41,491 with GCF Formula

Least Common Multiple of 41,491 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 41,491 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,491) = 1

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

GCF(41,491) x common factors =1 x 1 = 1

LCM(41,491) = ( 41 × 491 ) / 1

LCM(41,491) = 20131 / 1

LCM(41,491) = 20131


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 6945/41, 7147/491

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 6945/41, 7147/491?

Answer: GCF of Numerators as per given numbers 6945/41, 7147/491 is

GCF of Numerators i.e. for 6945,7147 is 1

LCM of denominators i.e. for 41,491 is 20131.

Thus, GCF of Fractions is 1/20131.Finally, GCF of Fractions for 6945/41, 7147/491 is 1/20131.