Greatest Common Factor of 7243/237, 9885/1977

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7243/237, 9885/1977

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 7243/237,9885/1977

Given fractions are 7243/237,9885/1977

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 7243,9885

Greatest Common Factor of Numerators i.e. GCF of 7243,9885 is 1 .

LCM of Denominators means LCM of 237,1977 as per the given fractions.

LCM of 237,1977 is 156183 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7243,9885

GCF of Fractions 7243/237,9885/1977 is 1/156183

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

Greatest Common Factor of 7243,9885 By Matching Biggest Common Factor Method

Greatest Common Factor of 7243,9885 By Matching Biggest Common Factor Method

Factors of 7243

List of positive integer factors of 7243 that divides 7243 without a remainder.

1,7243

Factors of 9885

List of positive integer factors of 9885 that divides 9885 without a remainder.

1,3,5,15,659,1977,3295,9885

Greatest Common Factor

We found the factors 7243,9885 . The biggest common factor number is the GCF number.
So the greatest common factor 7243,9885 is 1.

Lets's calculate LCM of 237,1977

3 237, 1977
79, 659

∴ So the LCM of the given numbers is 3 x 79 x 659 = 156183

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/156183

Therefore, the GCF of Fractions 7243/237,9885/1977 is 1/156183

Least Common Multiple of 237,1977 with GCF Formula

Least Common Multiple of 237,1977 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 237,1977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(237,1977) = 3

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

GCF(237,1977) x common factors =3 x 1 = 3

LCM(237,1977) = ( 237 × 1977 ) / 3

LCM(237,1977) = 468549 / 3

LCM(237,1977) = 156183


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 7243/237, 9885/1977

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 7243/237, 9885/1977?

Answer: GCF of Numerators as per given numbers 7243/237, 9885/1977 is

GCF of Numerators i.e. for 7243,9885 is 1

LCM of denominators i.e. for 237,1977 is 156183.

Thus, GCF of Fractions is 1/156183.Finally, GCF of Fractions for 7243/237, 9885/1977 is 1/156183.