Greatest Common Factor of 24/50, 42/80, 47/48, 180/32

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 24/50, 42/80, 47/48, 180/32

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 24/50,42/80,47/48,180/32

Given fractions are 24/50,42/80,47/48,180/32

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 24,42,47,180

Greatest Common Factor of Numerators i.e. GCF of 24,42,47,180 is 1 .

LCM of Denominators means LCM of 50,80,48,32 as per the given fractions.

LCM of 50,80,48,32 is 2400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 24,42,47,180

GCF of Fractions 24/50,42/80,47/48,180/32 is 1/2400

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 24,42,47,180 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,42,47,180 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Greatest Common Factor

We found the factors 24,42,47,180 . The biggest common factor number is the GCF number.
So the greatest common factor 24,42,47,180 is 1.

Lets's calculate LCM of 50,80,48,32

2 50, 80, 48, 32
2 25, 40, 24, 16
2 25, 20, 12, 8
2 25, 10, 6, 4
5 25, 5, 3, 2
1, 5, 3, 2

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

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2400

Therefore, the GCF of Fractions 24/50,42/80,47/48,180/32 is 1/2400

Least Common Multiple of 50,80,48,32 with GCF Formula

Least Common Multiple of 50,80,48,32 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 50,80,48,32 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,80,48,32) = 2

common factors(in case of two or more numbers have common factors) = 1280

GCF(50,80,48,32) x common factors =2 x 1280 = 2560

LCM(50,80,48,32) = ( 50 × 80 × 48 × 32 ) / 2560

LCM(50,80,48,32) = 6144000 / 2560

LCM(50,80,48,32) = 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 24/50, 42/80, 47/48, 180/32

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 24/50, 42/80, 47/48, 180/32?

Answer: GCF of Numerators as per given numbers 24/50, 42/80, 47/48, 180/32 is

GCF of Numerators i.e. for 24,42,47,180 is 1

LCM of denominators i.e. for 50,80,48,32 is 2400.

Thus, GCF of Fractions is 1/2400.Finally, GCF of Fractions for 24/50, 42/80, 47/48, 180/32 is 1/2400.