Greatest Common Factor of 42/389, 96/742, 627/974

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 42/389, 96/742, 627/974

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 42/389,96/742,627/974

Given fractions are 42/389,96/742,627/974

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 42,96,627

Greatest Common Factor of Numerators i.e. GCF of 42,96,627 is 3 .

LCM of Denominators means LCM of 389,742,974 as per the given fractions.

LCM of 389,742,974 is 140566706 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 42,96,627

GCF of Fractions 42/389,96/742,627/974 is 3/140566706

3 42, 96, 627
14, 32, 209

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 42,96,627 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,96,627 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 627

List of positive integer factors of 627 that divides 627 without a remainder.

1,3,11,19,33,57,209,627

Greatest Common Factor

We found the factors 42,96,627 . The biggest common factor number is the GCF number.
So the greatest common factor 42,96,627 is 3.

Lets's calculate LCM of 389,742,974

2 389, 742, 974
389, 371, 487

∴ So the LCM of the given numbers is 2 x 389 x 371 x 487 = 140566706

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/140566706

Therefore, the GCF of Fractions 42/389,96/742,627/974 is 3/140566706

Least Common Multiple of 389,742,974 with GCF Formula

Least Common Multiple of 389,742,974 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 389,742,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(389,742,974) = 1

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

GCF(389,742,974) x common factors =1 x 2 = 2

LCM(389,742,974) = ( 389 × 742 × 974 ) / 2

LCM(389,742,974) = 281133412 / 2

LCM(389,742,974) = 140566706


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 42/389, 96/742, 627/974

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 42/389, 96/742, 627/974?

Answer: GCF of Numerators as per given numbers 42/389, 96/742, 627/974 is

GCF of Numerators i.e. for 42,96,627 is 3

LCM of denominators i.e. for 389,742,974 is 140566706.

Thus, GCF of Fractions is 3/140566706.Finally, GCF of Fractions for 42/389, 96/742, 627/974 is 3/140566706.