Greatest Common Factor of 836/85, 933/56, 268/82

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 836/85, 933/56, 268/82

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 836/85,933/56,268/82

Given fractions are 836/85,933/56,268/82

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 836,933,268

Greatest Common Factor of Numerators i.e. GCF of 836,933,268 is 1 .

LCM of Denominators means LCM of 85,56,82 as per the given fractions.

LCM of 85,56,82 is 195160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 836,933,268

GCF of Fractions 836/85,933/56,268/82 is 1/195160

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

Greatest Common Factor of 836,933,268 By Matching Biggest Common Factor Method

Greatest Common Factor of 836,933,268 By Matching Biggest Common Factor Method

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Factors of 933

List of positive integer factors of 933 that divides 933 without a remainder.

1,3,311,933

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Greatest Common Factor

We found the factors 836,933,268 . The biggest common factor number is the GCF number.
So the greatest common factor 836,933,268 is 1.

Lets's calculate LCM of 85,56,82

2 85, 56, 82
85, 28, 41

∴ So the LCM of the given numbers is 2 x 85 x 28 x 41 = 195160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/195160

Therefore, the GCF of Fractions 836/85,933/56,268/82 is 1/195160

Least Common Multiple of 85,56,82 with GCF Formula

Least Common Multiple of 85,56,82 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 85,56,82 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,56,82) = 1

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

GCF(85,56,82) x common factors =1 x 2 = 2

LCM(85,56,82) = ( 85 × 56 × 82 ) / 2

LCM(85,56,82) = 390320 / 2

LCM(85,56,82) = 195160


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 836/85, 933/56, 268/82

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 836/85, 933/56, 268/82?

Answer: GCF of Numerators as per given numbers 836/85, 933/56, 268/82 is

GCF of Numerators i.e. for 836,933,268 is 1

LCM of denominators i.e. for 85,56,82 is 195160.

Thus, GCF of Fractions is 1/195160.Finally, GCF of Fractions for 836/85, 933/56, 268/82 is 1/195160.