Greatest Common Factor of 244/137, 549/439

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 244/137, 549/439

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 244/137,549/439

Given fractions are 244/137,549/439

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 244,549

Greatest Common Factor of Numerators i.e. GCF of 244,549 is 61 .

LCM of Denominators means LCM of 137,439 as per the given fractions.

LCM of 137,439 is 60143 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 244,549

GCF of Fractions 244/137,549/439 is 61/60143

61 244, 549
4, 9

∴ So the GCF of the given numbers is 61 = 61

Greatest Common Factor of 244,549 By Matching Biggest Common Factor Method

Greatest Common Factor of 244,549 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 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Greatest Common Factor

We found the factors 244,549 . The biggest common factor number is the GCF number.
So the greatest common factor 244,549 is 61.

Lets's calculate LCM of 137,439

Given numbers has no common factors except 1. So, there LCM is their product i.e 60143

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 61/60143

Therefore, the GCF of Fractions 244/137,549/439 is 61/60143

Least Common Multiple of 137,439 with GCF Formula

Least Common Multiple of 137,439 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 137,439 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(137,439) = 1

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

GCF(137,439) x common factors =1 x 1 = 1

LCM(137,439) = ( 137 × 439 ) / 1

LCM(137,439) = 60143 / 1

LCM(137,439) = 60143


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 244/137, 549/439

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 244/137, 549/439?

Answer: GCF of Numerators as per given numbers 244/137, 549/439 is

GCF of Numerators i.e. for 244,549 is 61

LCM of denominators i.e. for 137,439 is 60143.

Thus, GCF of Fractions is 61/60143.Finally, GCF of Fractions for 244/137, 549/439 is 61/60143.