Greatest Common Factor of 120/281, 5124/149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 120/281, 5124/149

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 120/281,5124/149

Given fractions are 120/281,5124/149

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 120,5124

Greatest Common Factor of Numerators i.e. GCF of 120,5124 is 12 .

LCM of Denominators means LCM of 281,149 as per the given fractions.

LCM of 281,149 is 41869 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 120,5124

GCF of Fractions 120/281,5124/149 is 12/41869

2 120, 5124
2 60, 2562
3 30, 1281
10, 427

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 120,5124 By Matching Biggest Common Factor Method

Greatest Common Factor of 120,5124 By Matching Biggest Common Factor Method

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Factors of 5124

List of positive integer factors of 5124 that divides 5124 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,61,84,122,183,244,366,427,732,854,1281,1708,2562,5124

Greatest Common Factor

We found the factors 120,5124 . The biggest common factor number is the GCF number.
So the greatest common factor 120,5124 is 12.

Lets's calculate LCM of 281,149

Given numbers has no common factors except 1. So, there LCM is their product i.e 41869

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/41869

Therefore, the GCF of Fractions 120/281,5124/149 is 12/41869

Least Common Multiple of 281,149 with GCF Formula

Least Common Multiple of 281,149 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 281,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(281,149) = 1

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

GCF(281,149) x common factors =1 x 1 = 1

LCM(281,149) = ( 281 × 149 ) / 1

LCM(281,149) = 41869 / 1

LCM(281,149) = 41869


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 120/281, 5124/149

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 120/281, 5124/149?

Answer: GCF of Numerators as per given numbers 120/281, 5124/149 is

GCF of Numerators i.e. for 120,5124 is 12

LCM of denominators i.e. for 281,149 is 41869.

Thus, GCF of Fractions is 12/41869.Finally, GCF of Fractions for 120/281, 5124/149 is 12/41869.