Greatest Common Factor of 584/18, 494/82, 780/51

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 584/18, 494/82, 780/51

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 584/18,494/82,780/51

Given fractions are 584/18,494/82,780/51

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 584,494,780

Greatest Common Factor of Numerators i.e. GCF of 584,494,780 is 2 .

LCM of Denominators means LCM of 18,82,51 as per the given fractions.

LCM of 18,82,51 is 12546 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 584,494,780

GCF of Fractions 584/18,494/82,780/51 is 2/12546

2 584, 494, 780
292, 247, 390

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 584,494,780 By Matching Biggest Common Factor Method

Greatest Common Factor of 584,494,780 By Matching Biggest Common Factor Method

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Greatest Common Factor

We found the factors 584,494,780 . The biggest common factor number is the GCF number.
So the greatest common factor 584,494,780 is 2.

Lets's calculate LCM of 18,82,51

2 18, 82, 51
3 9, 41, 51
3, 41, 17

∴ So the LCM of the given numbers is 2 x 3 x 3 x 41 x 17 = 12546

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/12546

Therefore, the GCF of Fractions 584/18,494/82,780/51 is 2/12546

Least Common Multiple of 18,82,51 with GCF Formula

Least Common Multiple of 18,82,51 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 18,82,51 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,82,51) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(18,82,51) x common factors =1 x 6 = 6

LCM(18,82,51) = ( 18 × 82 × 51 ) / 6

LCM(18,82,51) = 75276 / 6

LCM(18,82,51) = 12546


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 584/18, 494/82, 780/51

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 584/18, 494/82, 780/51?

Answer: GCF of Numerators as per given numbers 584/18, 494/82, 780/51 is

GCF of Numerators i.e. for 584,494,780 is 2

LCM of denominators i.e. for 18,82,51 is 12546.

Thus, GCF of Fractions is 2/12546.Finally, GCF of Fractions for 584/18, 494/82, 780/51 is 2/12546.