Greatest Common Factor of 5/24, 50/28, 15/112, 221/731

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5/24, 50/28, 15/112, 221/731

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 5/24,50/28,15/112,221/731

Given fractions are 5/24,50/28,15/112,221/731

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 5,50,15,221

Greatest Common Factor of Numerators i.e. GCF of 5,50,15,221 is 1 .

LCM of Denominators means LCM of 24,28,112,731 as per the given fractions.

LCM of 24,28,112,731 is 245616 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5,50,15,221

GCF of Fractions 5/24,50/28,15/112,221/731 is 1/245616

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

Greatest Common Factor of 5,50,15,221 By Matching Biggest Common Factor Method

Greatest Common Factor of 5,50,15,221 By Matching Biggest Common Factor Method

Factors of 5

List of positive integer factors of 5 that divides 5 without a remainder.

1,5

Factors of 50

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

1,2,5,10,25,50

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Greatest Common Factor

We found the factors 5,50,15,221 . The biggest common factor number is the GCF number.
So the greatest common factor 5,50,15,221 is 1.

Lets's calculate LCM of 24,28,112,731

2 24, 28, 112, 731
2 12, 14, 56, 731
2 6, 7, 28, 731
7 3, 7, 14, 731
3, 1, 2, 731

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 3 x 1 x 2 x 731 = 245616

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/245616

Therefore, the GCF of Fractions 5/24,50/28,15/112,221/731 is 1/245616

Least Common Multiple of 24,28,112,731 with GCF Formula

Least Common Multiple of 24,28,112,731 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 24,28,112,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,28,112,731) = 1

common factors(in case of two or more numbers have common factors) = 224

GCF(24,28,112,731) x common factors =1 x 224 = 224

LCM(24,28,112,731) = ( 24 × 28 × 112 × 731 ) / 224

LCM(24,28,112,731) = 55017984 / 224

LCM(24,28,112,731) = 245616


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 5/24, 50/28, 15/112, 221/731

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 5/24, 50/28, 15/112, 221/731?

Answer: GCF of Numerators as per given numbers 5/24, 50/28, 15/112, 221/731 is

GCF of Numerators i.e. for 5,50,15,221 is 1

LCM of denominators i.e. for 24,28,112,731 is 245616.

Thus, GCF of Fractions is 1/245616.Finally, GCF of Fractions for 5/24, 50/28, 15/112, 221/731 is 1/245616.