Greatest Common Factor of 2121/238, 9222/9071

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2121/238, 9222/9071

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 2121/238,9222/9071

Given fractions are 2121/238,9222/9071

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 2121,9222

Greatest Common Factor of Numerators i.e. GCF of 2121,9222 is 3 .

LCM of Denominators means LCM of 238,9071 as per the given fractions.

LCM of 238,9071 is 2158898 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2121,9222

GCF of Fractions 2121/238,9222/9071 is 3/2158898

3 2121, 9222
707, 3074

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 2121,9222 By Matching Biggest Common Factor Method

Greatest Common Factor of 2121,9222 By Matching Biggest Common Factor Method

Factors of 2121

List of positive integer factors of 2121 that divides 2121 without a remainder.

1,3,7,21,101,303,707,2121

Factors of 9222

List of positive integer factors of 9222 that divides 9222 without a remainder.

1,2,3,6,29,53,58,87,106,159,174,318,1537,3074,4611,9222

Greatest Common Factor

We found the factors 2121,9222 . The biggest common factor number is the GCF number.
So the greatest common factor 2121,9222 is 3.

Lets's calculate LCM of 238,9071

Given numbers has no common factors except 1. So, there LCM is their product i.e 2158898

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2158898

Therefore, the GCF of Fractions 2121/238,9222/9071 is 3/2158898

Least Common Multiple of 238,9071 with GCF Formula

Least Common Multiple of 238,9071 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 238,9071 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(238,9071) = 1

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

GCF(238,9071) x common factors =1 x 1 = 1

LCM(238,9071) = ( 238 × 9071 ) / 1

LCM(238,9071) = 2158898 / 1

LCM(238,9071) = 2158898


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 2121/238, 9222/9071

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 2121/238, 9222/9071?

Answer: GCF of Numerators as per given numbers 2121/238, 9222/9071 is

GCF of Numerators i.e. for 2121,9222 is 3

LCM of denominators i.e. for 238,9071 is 2158898.

Thus, GCF of Fractions is 3/2158898.Finally, GCF of Fractions for 2121/238, 9222/9071 is 3/2158898.