Greatest Common Factor of 44/64, 74/72, 244/985

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 44/64, 74/72, 244/985

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 44/64,74/72,244/985

Given fractions are 44/64,74/72,244/985

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 44,74,244

Greatest Common Factor of Numerators i.e. GCF of 44,74,244 is 2 .

LCM of Denominators means LCM of 64,72,985 as per the given fractions.

LCM of 64,72,985 is 567360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 44,74,244

GCF of Fractions 44/64,74/72,244/985 is 2/567360

2 44, 74, 244
22, 37, 122

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 44,74,244 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,74,244 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 244

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

1,2,4,61,122,244

Greatest Common Factor

We found the factors 44,74,244 . The biggest common factor number is the GCF number.
So the greatest common factor 44,74,244 is 2.

Lets's calculate LCM of 64,72,985

2 64, 72, 985
2 32, 36, 985
2 16, 18, 985
8, 9, 985

∴ So the LCM of the given numbers is 2 x 2 x 2 x 8 x 9 x 985 = 567360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/567360

Therefore, the GCF of Fractions 44/64,74/72,244/985 is 2/567360

Least Common Multiple of 64,72,985 with GCF Formula

Least Common Multiple of 64,72,985 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 64,72,985 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,72,985) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(64,72,985) x common factors =1 x 8 = 8

LCM(64,72,985) = ( 64 × 72 × 985 ) / 8

LCM(64,72,985) = 4538880 / 8

LCM(64,72,985) = 567360


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 44/64, 74/72, 244/985

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 44/64, 74/72, 244/985?

Answer: GCF of Numerators as per given numbers 44/64, 74/72, 244/985 is

GCF of Numerators i.e. for 44,74,244 is 2

LCM of denominators i.e. for 64,72,985 is 567360.

Thus, GCF of Fractions is 2/567360.Finally, GCF of Fractions for 44/64, 74/72, 244/985 is 2/567360.