Greatest Common Factor of 7211/646, 9941/6957

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7211/646, 9941/6957

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 7211/646,9941/6957

Given fractions are 7211/646,9941/6957

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 7211,9941

Greatest Common Factor of Numerators i.e. GCF of 7211,9941 is 1 .

LCM of Denominators means LCM of 646,6957 as per the given fractions.

LCM of 646,6957 is 4494222 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7211,9941

GCF of Fractions 7211/646,9941/6957 is 1/4494222

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

Greatest Common Factor of 7211,9941 By Matching Biggest Common Factor Method

Greatest Common Factor of 7211,9941 By Matching Biggest Common Factor Method

Factors of 7211

List of positive integer factors of 7211 that divides 7211 without a remainder.

1,7211

Factors of 9941

List of positive integer factors of 9941 that divides 9941 without a remainder.

1,9941

Greatest Common Factor

We found the factors 7211,9941 . The biggest common factor number is the GCF number.
So the greatest common factor 7211,9941 is 1.

Lets's calculate LCM of 646,6957

Given numbers has no common factors except 1. So, there LCM is their product i.e 4494222

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4494222

Therefore, the GCF of Fractions 7211/646,9941/6957 is 1/4494222

Least Common Multiple of 646,6957 with GCF Formula

Least Common Multiple of 646,6957 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 646,6957 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(646,6957) = 1

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

GCF(646,6957) x common factors =1 x 1 = 1

LCM(646,6957) = ( 646 × 6957 ) / 1

LCM(646,6957) = 4494222 / 1

LCM(646,6957) = 4494222


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 7211/646, 9941/6957

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 7211/646, 9941/6957?

Answer: GCF of Numerators as per given numbers 7211/646, 9941/6957 is

GCF of Numerators i.e. for 7211,9941 is 1

LCM of denominators i.e. for 646,6957 is 4494222.

Thus, GCF of Fractions is 1/4494222.Finally, GCF of Fractions for 7211/646, 9941/6957 is 1/4494222.