Greatest Common Factor of 1221/52, 9766/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1221/52, 9766/972

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 1221/52,9766/972

Given fractions are 1221/52,9766/972

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 1221,9766

Greatest Common Factor of Numerators i.e. GCF of 1221,9766 is 1 .

LCM of Denominators means LCM of 52,972 as per the given fractions.

LCM of 52,972 is 12636 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1221,9766

GCF of Fractions 1221/52,9766/972 is 1/12636

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

Greatest Common Factor of 1221,9766 By Matching Biggest Common Factor Method

Greatest Common Factor of 1221,9766 By Matching Biggest Common Factor Method

Factors of 1221

List of positive integer factors of 1221 that divides 1221 without a remainder.

1,3,11,33,37,111,407,1221

Factors of 9766

List of positive integer factors of 9766 that divides 9766 without a remainder.

1,2,19,38,257,514,4883,9766

Greatest Common Factor

We found the factors 1221,9766 . The biggest common factor number is the GCF number.
So the greatest common factor 1221,9766 is 1.

Lets's calculate LCM of 52,972

2 52, 972
2 26, 486
13, 243

∴ So the LCM of the given numbers is 2 x 2 x 13 x 243 = 12636

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12636

Therefore, the GCF of Fractions 1221/52,9766/972 is 1/12636

Least Common Multiple of 52,972 with GCF Formula

Least Common Multiple of 52,972 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 52,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,972) = 4

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

GCF(52,972) x common factors =4 x 1 = 4

LCM(52,972) = ( 52 × 972 ) / 4

LCM(52,972) = 50544 / 4

LCM(52,972) = 12636


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 1221/52, 9766/972

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 1221/52, 9766/972?

Answer: GCF of Numerators as per given numbers 1221/52, 9766/972 is

GCF of Numerators i.e. for 1221,9766 is 1

LCM of denominators i.e. for 52,972 is 12636.

Thus, GCF of Fractions is 1/12636.Finally, GCF of Fractions for 1221/52, 9766/972 is 1/12636.