Greatest Common Factor of 317/78, 150/76, 774/866

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 317/78, 150/76, 774/866

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 317/78,150/76,774/866

Given fractions are 317/78,150/76,774/866

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 317,150,774

Greatest Common Factor of Numerators i.e. GCF of 317,150,774 is 1 .

LCM of Denominators means LCM of 78,76,866 as per the given fractions.

LCM of 78,76,866 is 1283412 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 317,150,774

GCF of Fractions 317/78,150/76,774/866 is 1/1283412

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

Greatest Common Factor of 317,150,774 By Matching Biggest Common Factor Method

Greatest Common Factor of 317,150,774 By Matching Biggest Common Factor Method

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1,317

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Greatest Common Factor

We found the factors 317,150,774 . The biggest common factor number is the GCF number.
So the greatest common factor 317,150,774 is 1.

Lets's calculate LCM of 78,76,866

2 78, 76, 866
39, 38, 433

∴ So the LCM of the given numbers is 2 x 39 x 38 x 433 = 1283412

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1283412

Therefore, the GCF of Fractions 317/78,150/76,774/866 is 1/1283412

Least Common Multiple of 78,76,866 with GCF Formula

Least Common Multiple of 78,76,866 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 78,76,866 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,76,866) = 2

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

GCF(78,76,866) x common factors =2 x 2 = 4

LCM(78,76,866) = ( 78 × 76 × 866 ) / 4

LCM(78,76,866) = 5133648 / 4

LCM(78,76,866) = 1283412


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 317/78, 150/76, 774/866

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 317/78, 150/76, 774/866?

Answer: GCF of Numerators as per given numbers 317/78, 150/76, 774/866 is

GCF of Numerators i.e. for 317,150,774 is 1

LCM of denominators i.e. for 78,76,866 is 1283412.

Thus, GCF of Fractions is 1/1283412.Finally, GCF of Fractions for 317/78, 150/76, 774/866 is 1/1283412.