Greatest Common Factor of 931/41, 772/82, 357/836

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 931/41, 772/82, 357/836

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 931/41,772/82,357/836

Given fractions are 931/41,772/82,357/836

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 931,772,357

Greatest Common Factor of Numerators i.e. GCF of 931,772,357 is 1 .

LCM of Denominators means LCM of 41,82,836 as per the given fractions.

LCM of 41,82,836 is 34276 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 931,772,357

GCF of Fractions 931/41,772/82,357/836 is 1/34276

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

Greatest Common Factor of 931,772,357 By Matching Biggest Common Factor Method

Greatest Common Factor of 931,772,357 By Matching Biggest Common Factor Method

Factors of 931

List of positive integer factors of 931 that divides 931 without a remainder.

1,7,19,49,133,931

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Greatest Common Factor

We found the factors 931,772,357 . The biggest common factor number is the GCF number.
So the greatest common factor 931,772,357 is 1.

Lets's calculate LCM of 41,82,836

2 41, 82, 836
41 41, 41, 418
1, 1, 418

∴ So the LCM of the given numbers is 2 x 41 x 1 x 1 x 418 = 34276

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34276

Therefore, the GCF of Fractions 931/41,772/82,357/836 is 1/34276

Least Common Multiple of 41,82,836 with GCF Formula

Least Common Multiple of 41,82,836 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 41,82,836 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,82,836) = 1

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

GCF(41,82,836) x common factors =1 x 82 = 82

LCM(41,82,836) = ( 41 × 82 × 836 ) / 82

LCM(41,82,836) = 2810632 / 82

LCM(41,82,836) = 34276


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 931/41, 772/82, 357/836

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 931/41, 772/82, 357/836?

Answer: GCF of Numerators as per given numbers 931/41, 772/82, 357/836 is

GCF of Numerators i.e. for 931,772,357 is 1

LCM of denominators i.e. for 41,82,836 is 34276.

Thus, GCF of Fractions is 1/34276.Finally, GCF of Fractions for 931/41, 772/82, 357/836 is 1/34276.