Greatest Common Factor of 44/75, 30/96, 34/37, 40/56

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 44/75, 30/96, 34/37, 40/56

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 44/75,30/96,34/37,40/56

Given fractions are 44/75,30/96,34/37,40/56

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 44,30,34,40

Greatest Common Factor of Numerators i.e. GCF of 44,30,34,40 is 2 .

LCM of Denominators means LCM of 75,96,37,56 as per the given fractions.

LCM of 75,96,37,56 is 621600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 44,30,34,40

GCF of Fractions 44/75,30/96,34/37,40/56 is 2/621600

2 44, 30, 34, 40
22, 15, 17, 20

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

Greatest Common Factor of 44,30,34,40 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,30,34,40 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 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Greatest Common Factor

We found the factors 44,30,34,40 . The biggest common factor number is the GCF number.
So the greatest common factor 44,30,34,40 is 2.

Lets's calculate LCM of 75,96,37,56

2 75, 96, 37, 56
2 75, 48, 37, 28
2 75, 24, 37, 14
3 75, 12, 37, 7
25, 4, 37, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 25 x 4 x 37 x 7 = 621600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/621600

Therefore, the GCF of Fractions 44/75,30/96,34/37,40/56 is 2/621600

Least Common Multiple of 75,96,37,56 with GCF Formula

Least Common Multiple of 75,96,37,56 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 75,96,37,56 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,96,37,56) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(75,96,37,56) x common factors =1 x 24 = 24

LCM(75,96,37,56) = ( 75 × 96 × 37 × 56 ) / 24

LCM(75,96,37,56) = 14918400 / 24

LCM(75,96,37,56) = 621600


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 44/75, 30/96, 34/37, 40/56

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 44/75, 30/96, 34/37, 40/56?

Answer: GCF of Numerators as per given numbers 44/75, 30/96, 34/37, 40/56 is

GCF of Numerators i.e. for 44,30,34,40 is 2

LCM of denominators i.e. for 75,96,37,56 is 621600.

Thus, GCF of Fractions is 2/621600.Finally, GCF of Fractions for 44/75, 30/96, 34/37, 40/56 is 2/621600.