Greatest Common Factor of 4891/150, 2316/249

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4891/150, 2316/249

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 4891/150,2316/249

Given fractions are 4891/150,2316/249

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 4891,2316

Greatest Common Factor of Numerators i.e. GCF of 4891,2316 is 1 .

LCM of Denominators means LCM of 150,249 as per the given fractions.

LCM of 150,249 is 12450 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4891,2316

GCF of Fractions 4891/150,2316/249 is 1/12450

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

Greatest Common Factor of 4891,2316 By Matching Biggest Common Factor Method

Greatest Common Factor of 4891,2316 By Matching Biggest Common Factor Method

Factors of 4891

List of positive integer factors of 4891 that divides 4891 without a remainder.

1,67,73,4891

Factors of 2316

List of positive integer factors of 2316 that divides 2316 without a remainder.

1,2,3,4,6,12,193,386,579,772,1158,2316

Greatest Common Factor

We found the factors 4891,2316 . The biggest common factor number is the GCF number.
So the greatest common factor 4891,2316 is 1.

Lets's calculate LCM of 150,249

3 150, 249
50, 83

∴ So the LCM of the given numbers is 3 x 50 x 83 = 12450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12450

Therefore, the GCF of Fractions 4891/150,2316/249 is 1/12450

Least Common Multiple of 150,249 with GCF Formula

Least Common Multiple of 150,249 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 150,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(150,249) = 3

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

GCF(150,249) x common factors =3 x 1 = 3

LCM(150,249) = ( 150 × 249 ) / 3

LCM(150,249) = 37350 / 3

LCM(150,249) = 12450


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 4891/150, 2316/249

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 4891/150, 2316/249?

Answer: GCF of Numerators as per given numbers 4891/150, 2316/249 is

GCF of Numerators i.e. for 4891,2316 is 1

LCM of denominators i.e. for 150,249 is 12450.

Thus, GCF of Fractions is 1/12450.Finally, GCF of Fractions for 4891/150, 2316/249 is 1/12450.