Greatest Common Factor of 124/32, 165/13, 212/823

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 124/32, 165/13, 212/823

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 124/32,165/13,212/823

Given fractions are 124/32,165/13,212/823

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 124,165,212

Greatest Common Factor of Numerators i.e. GCF of 124,165,212 is 1 .

LCM of Denominators means LCM of 32,13,823 as per the given fractions.

LCM of 32,13,823 is 342368 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 124,165,212

GCF of Fractions 124/32,165/13,212/823 is 1/342368

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

Greatest Common Factor of 124,165,212 By Matching Biggest Common Factor Method

Greatest Common Factor of 124,165,212 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 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Factors of 212

List of positive integer factors of 212 that divides 212 without a remainder.

1,2,4,53,106,212

Greatest Common Factor

We found the factors 124,165,212 . The biggest common factor number is the GCF number.
So the greatest common factor 124,165,212 is 1.

Lets's calculate LCM of 32,13,823

Given numbers has no common factors except 1. So, there LCM is their product i.e 342368

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/342368

Therefore, the GCF of Fractions 124/32,165/13,212/823 is 1/342368

Least Common Multiple of 32,13,823 with GCF Formula

Least Common Multiple of 32,13,823 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 32,13,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,13,823) = 1

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

GCF(32,13,823) x common factors =1 x 1 = 1

LCM(32,13,823) = ( 32 × 13 × 823 ) / 1

LCM(32,13,823) = 342368 / 1

LCM(32,13,823) = 342368


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 124/32, 165/13, 212/823

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 124/32, 165/13, 212/823?

Answer: GCF of Numerators as per given numbers 124/32, 165/13, 212/823 is

GCF of Numerators i.e. for 124,165,212 is 1

LCM of denominators i.e. for 32,13,823 is 342368.

Thus, GCF of Fractions is 1/342368.Finally, GCF of Fractions for 124/32, 165/13, 212/823 is 1/342368.