Greatest Common Factor of 124/38, 544/83, 690/32

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 124/38, 544/83, 690/32

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 124/38,544/83,690/32

Given fractions are 124/38,544/83,690/32

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 124,544,690

Greatest Common Factor of Numerators i.e. GCF of 124,544,690 is 2 .

LCM of Denominators means LCM of 38,83,32 as per the given fractions.

LCM of 38,83,32 is 50464 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 124,544,690

GCF of Fractions 124/38,544/83,690/32 is 2/50464

2 124, 544, 690
62, 272, 345

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

Greatest Common Factor of 124,544,690 By Matching Biggest Common Factor Method

Greatest Common Factor of 124,544,690 By Matching Biggest Common Factor Method

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1,2,4,31,62,124

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Greatest Common Factor

We found the factors 124,544,690 . The biggest common factor number is the GCF number.
So the greatest common factor 124,544,690 is 2.

Lets's calculate LCM of 38,83,32

2 38, 83, 32
19, 83, 16

∴ So the LCM of the given numbers is 2 x 19 x 83 x 16 = 50464

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/50464

Therefore, the GCF of Fractions 124/38,544/83,690/32 is 2/50464

Least Common Multiple of 38,83,32 with GCF Formula

Least Common Multiple of 38,83,32 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 38,83,32 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,83,32) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(38,83,32) x common factors =1 x 2 = 2

LCM(38,83,32) = ( 38 × 83 × 32 ) / 2

LCM(38,83,32) = 100928 / 2

LCM(38,83,32) = 50464


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 124/38, 544/83, 690/32

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 124/38, 544/83, 690/32?

Answer: GCF of Numerators as per given numbers 124/38, 544/83, 690/32 is

GCF of Numerators i.e. for 124,544,690 is 2

LCM of denominators i.e. for 38,83,32 is 50464.

Thus, GCF of Fractions is 2/50464.Finally, GCF of Fractions for 124/38, 544/83, 690/32 is 2/50464.