Greatest Common Factor of 244/8401, 249/4588

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 244/8401, 249/4588

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 244/8401,249/4588

Given fractions are 244/8401,249/4588

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 244,249

Greatest Common Factor of Numerators i.e. GCF of 244,249 is 1 .

LCM of Denominators means LCM of 8401,4588 as per the given fractions.

LCM of 8401,4588 is 1243348 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 244,249

GCF of Fractions 244/8401,249/4588 is 1/1243348

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

Greatest Common Factor of 244,249 By Matching Biggest Common Factor Method

Greatest Common Factor of 244,249 By Matching Biggest Common Factor Method

Factors of 244

List of positive integer factors of 244 that divides 244 without a remainder.

1,2,4,61,122,244

Factors of 249

List of positive integer factors of 249 that divides 249 without a remainder.

1,3,83,249

Greatest Common Factor

We found the factors 244,249 . The biggest common factor number is the GCF number.
So the greatest common factor 244,249 is 1.

Lets's calculate LCM of 8401,4588

31 8401, 4588
271, 148

∴ So the LCM of the given numbers is 31 x 271 x 148 = 1243348

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1243348

Therefore, the GCF of Fractions 244/8401,249/4588 is 1/1243348

Least Common Multiple of 8401,4588 with GCF Formula

Least Common Multiple of 8401,4588 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 8401,4588 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8401,4588) = 31

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

GCF(8401,4588) x common factors =31 x 1 = 31

LCM(8401,4588) = ( 8401 × 4588 ) / 31

LCM(8401,4588) = 38543788 / 31

LCM(8401,4588) = 1243348


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 244/8401, 249/4588

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 244/8401, 249/4588?

Answer: GCF of Numerators as per given numbers 244/8401, 249/4588 is

GCF of Numerators i.e. for 244,249 is 1

LCM of denominators i.e. for 8401,4588 is 1243348.

Thus, GCF of Fractions is 1/1243348.Finally, GCF of Fractions for 244/8401, 249/4588 is 1/1243348.