Greatest Common Factor of 2/74, 89/93, 57/279, 777/868

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2/74, 89/93, 57/279, 777/868

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 2/74,89/93,57/279,777/868

Given fractions are 2/74,89/93,57/279,777/868

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 2,89,57,777

Greatest Common Factor of Numerators i.e. GCF of 2,89,57,777 is 1 .

LCM of Denominators means LCM of 74,93,279,868 as per the given fractions.

LCM of 74,93,279,868 is 289044 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2,89,57,777

GCF of Fractions 2/74,89/93,57/279,777/868 is 1/289044

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

Greatest Common Factor of 2,89,57,777 By Matching Biggest Common Factor Method

Greatest Common Factor of 2,89,57,777 By Matching Biggest Common Factor Method

Factors of 2

List of positive integer factors of 2 that divides 2 without a remainder.

1,2

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 777

List of positive integer factors of 777 that divides 777 without a remainder.

1,3,7,21,37,111,259,777

Greatest Common Factor

We found the factors 2,89,57,777 . The biggest common factor number is the GCF number.
So the greatest common factor 2,89,57,777 is 1.

Lets's calculate LCM of 74,93,279,868

2 74, 93, 279, 868
3 37, 93, 279, 434
31 37, 31, 93, 434
37, 1, 3, 14

∴ So the LCM of the given numbers is 2 x 3 x 31 x 37 x 1 x 3 x 14 = 289044

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/289044

Therefore, the GCF of Fractions 2/74,89/93,57/279,777/868 is 1/289044

Least Common Multiple of 74,93,279,868 with GCF Formula

Least Common Multiple of 74,93,279,868 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 74,93,279,868 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,93,279,868) = 1

common factors(in case of two or more numbers have common factors) = 5766

GCF(74,93,279,868) x common factors =1 x 5766 = 5766

LCM(74,93,279,868) = ( 74 × 93 × 279 × 868 ) / 5766

LCM(74,93,279,868) = 1666627704 / 5766

LCM(74,93,279,868) = 289044


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 2/74, 89/93, 57/279, 777/868

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 2/74, 89/93, 57/279, 777/868?

Answer: GCF of Numerators as per given numbers 2/74, 89/93, 57/279, 777/868 is

GCF of Numerators i.e. for 2,89,57,777 is 1

LCM of denominators i.e. for 74,93,279,868 is 289044.

Thus, GCF of Fractions is 1/289044.Finally, GCF of Fractions for 2/74, 89/93, 57/279, 777/868 is 1/289044.