Greatest Common Factor of 236/52, 689/82, 261/41

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 236/52, 689/82, 261/41

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 236/52,689/82,261/41

Given fractions are 236/52,689/82,261/41

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 236,689,261

Greatest Common Factor of Numerators i.e. GCF of 236,689,261 is 1 .

LCM of Denominators means LCM of 52,82,41 as per the given fractions.

LCM of 52,82,41 is 2132 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 236,689,261

GCF of Fractions 236/52,689/82,261/41 is 1/2132

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

Greatest Common Factor of 236,689,261 By Matching Biggest Common Factor Method

Greatest Common Factor of 236,689,261 By Matching Biggest Common Factor Method

Factors of 236

List of positive integer factors of 236 that divides 236 without a remainder.

1,2,4,59,118,236

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Factors of 261

List of positive integer factors of 261 that divides 261 without a remainder.

1,3,9,29,87,261

Greatest Common Factor

We found the factors 236,689,261 . The biggest common factor number is the GCF number.
So the greatest common factor 236,689,261 is 1.

Lets's calculate LCM of 52,82,41

2 52, 82, 41
41 26, 41, 41
26, 1, 1

∴ So the LCM of the given numbers is 2 x 41 x 26 x 1 x 1 = 2132

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2132

Therefore, the GCF of Fractions 236/52,689/82,261/41 is 1/2132

Least Common Multiple of 52,82,41 with GCF Formula

Least Common Multiple of 52,82,41 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 52,82,41 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,82,41) = 1

common factors(in case of two or more numbers have common factors) = 82

GCF(52,82,41) x common factors =1 x 82 = 82

LCM(52,82,41) = ( 52 × 82 × 41 ) / 82

LCM(52,82,41) = 174824 / 82

LCM(52,82,41) = 2132


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 236/52, 689/82, 261/41

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 236/52, 689/82, 261/41?

Answer: GCF of Numerators as per given numbers 236/52, 689/82, 261/41 is

GCF of Numerators i.e. for 236,689,261 is 1

LCM of denominators i.e. for 52,82,41 is 2132.

Thus, GCF of Fractions is 1/2132.Finally, GCF of Fractions for 236/52, 689/82, 261/41 is 1/2132.