Greatest Common Factor of 90/32, 50/75, 44/80, 374/96

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 90/32, 50/75, 44/80, 374/96

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 90/32,50/75,44/80,374/96

Given fractions are 90/32,50/75,44/80,374/96

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 90,50,44,374

Greatest Common Factor of Numerators i.e. GCF of 90,50,44,374 is 2 .

LCM of Denominators means LCM of 32,75,80,96 as per the given fractions.

LCM of 32,75,80,96 is 2400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 90,50,44,374

GCF of Fractions 90/32,50/75,44/80,374/96 is 2/2400

2 90, 50, 44, 374
45, 25, 22, 187

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

Greatest Common Factor of 90,50,44,374 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,50,44,374 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 44

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

1,2,4,11,22,44

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Greatest Common Factor

We found the factors 90,50,44,374 . The biggest common factor number is the GCF number.
So the greatest common factor 90,50,44,374 is 2.

Lets's calculate LCM of 32,75,80,96

2 32, 75, 80, 96
2 16, 75, 40, 48
2 8, 75, 20, 24
2 4, 75, 10, 12
2 2, 75, 5, 6
3 1, 75, 5, 3
5 1, 25, 5, 1
1, 1, 5, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 5 x 1 x 1 x 5 x 1 = 2400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2400

Therefore, the GCF of Fractions 90/32,50/75,44/80,374/96 is 2/2400

Least Common Multiple of 32,75,80,96 with GCF Formula

Least Common Multiple of 32,75,80,96 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 32,75,80,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,75,80,96) = 1

common factors(in case of two or more numbers have common factors) = 7680

GCF(32,75,80,96) x common factors =1 x 7680 = 7680

LCM(32,75,80,96) = ( 32 × 75 × 80 × 96 ) / 7680

LCM(32,75,80,96) = 18432000 / 7680

LCM(32,75,80,96) = 2400


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 90/32, 50/75, 44/80, 374/96

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 90/32, 50/75, 44/80, 374/96?

Answer: GCF of Numerators as per given numbers 90/32, 50/75, 44/80, 374/96 is

GCF of Numerators i.e. for 90,50,44,374 is 2

LCM of denominators i.e. for 32,75,80,96 is 2400.

Thus, GCF of Fractions is 2/2400.Finally, GCF of Fractions for 90/32, 50/75, 44/80, 374/96 is 2/2400.