Greatest Common Factor of 6/39, 75/94, 90/659, 288/926

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6/39, 75/94, 90/659, 288/926

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 6/39,75/94,90/659,288/926

Given fractions are 6/39,75/94,90/659,288/926

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 6,75,90,288

Greatest Common Factor of Numerators i.e. GCF of 6,75,90,288 is 3 .

LCM of Denominators means LCM of 39,94,659,926 as per the given fractions.

LCM of 39,94,659,926 is 1118558922 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6,75,90,288

GCF of Fractions 6/39,75/94,90/659,288/926 is 3/1118558922

3 6, 75, 90, 288
2, 25, 30, 96

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

Greatest Common Factor of 6,75,90,288 By Matching Biggest Common Factor Method

Greatest Common Factor of 6,75,90,288 By Matching Biggest Common Factor Method

Factors of 6

List of positive integer factors of 6 that divides 6 without a remainder.

1,2,3,6

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Greatest Common Factor

We found the factors 6,75,90,288 . The biggest common factor number is the GCF number.
So the greatest common factor 6,75,90,288 is 3.

Lets's calculate LCM of 39,94,659,926

2 39, 94, 659, 926
39, 47, 659, 463

∴ So the LCM of the given numbers is 2 x 39 x 47 x 659 x 463 = 1118558922

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1118558922

Therefore, the GCF of Fractions 6/39,75/94,90/659,288/926 is 3/1118558922

Least Common Multiple of 39,94,659,926 with GCF Formula

Least Common Multiple of 39,94,659,926 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 39,94,659,926 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,94,659,926) = 1

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

GCF(39,94,659,926) x common factors =1 x 2 = 2

LCM(39,94,659,926) = ( 39 × 94 × 659 × 926 ) / 2

LCM(39,94,659,926) = 2237117844 / 2

LCM(39,94,659,926) = 1118558922


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 6/39, 75/94, 90/659, 288/926

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 6/39, 75/94, 90/659, 288/926?

Answer: GCF of Numerators as per given numbers 6/39, 75/94, 90/659, 288/926 is

GCF of Numerators i.e. for 6,75,90,288 is 3

LCM of denominators i.e. for 39,94,659,926 is 1118558922.

Thus, GCF of Fractions is 3/1118558922.Finally, GCF of Fractions for 6/39, 75/94, 90/659, 288/926 is 3/1118558922.