Greatest Common Factor of 44/91, 844/37, 960/956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 44/91, 844/37, 960/956

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 44/91,844/37,960/956

Given fractions are 44/91,844/37,960/956

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 44,844,960

Greatest Common Factor of Numerators i.e. GCF of 44,844,960 is 4 .

LCM of Denominators means LCM of 91,37,956 as per the given fractions.

LCM of 91,37,956 is 3218852 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 44,844,960

GCF of Fractions 44/91,844/37,960/956 is 4/3218852

2 44, 844, 960
2 22, 422, 480
11, 211, 240

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 44,844,960 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,844,960 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 844

List of positive integer factors of 844 that divides 844 without a remainder.

1,2,4,211,422,844

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Greatest Common Factor

We found the factors 44,844,960 . The biggest common factor number is the GCF number.
So the greatest common factor 44,844,960 is 4.

Lets's calculate LCM of 91,37,956

Given numbers has no common factors except 1. So, there LCM is their product i.e 3218852

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3218852

Therefore, the GCF of Fractions 44/91,844/37,960/956 is 4/3218852

Least Common Multiple of 91,37,956 with GCF Formula

Least Common Multiple of 91,37,956 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 91,37,956 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,37,956) = 1

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

GCF(91,37,956) x common factors =1 x 1 = 1

LCM(91,37,956) = ( 91 × 37 × 956 ) / 1

LCM(91,37,956) = 3218852 / 1

LCM(91,37,956) = 3218852


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 44/91, 844/37, 960/956

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 44/91, 844/37, 960/956?

Answer: GCF of Numerators as per given numbers 44/91, 844/37, 960/956 is

GCF of Numerators i.e. for 44,844,960 is 4

LCM of denominators i.e. for 91,37,956 is 3218852.

Thus, GCF of Fractions is 4/3218852.Finally, GCF of Fractions for 44/91, 844/37, 960/956 is 4/3218852.