Greatest Common Factor of 194/61, 564/78, 500/27

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 194/61, 564/78, 500/27

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 194/61,564/78,500/27

Given fractions are 194/61,564/78,500/27

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 194,564,500

Greatest Common Factor of Numerators i.e. GCF of 194,564,500 is 2 .

LCM of Denominators means LCM of 61,78,27 as per the given fractions.

LCM of 61,78,27 is 42822 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 194,564,500

GCF of Fractions 194/61,564/78,500/27 is 2/42822

2 194, 564, 500
97, 282, 250

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

Greatest Common Factor of 194,564,500 By Matching Biggest Common Factor Method

Greatest Common Factor of 194,564,500 By Matching Biggest Common Factor Method

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Greatest Common Factor

We found the factors 194,564,500 . The biggest common factor number is the GCF number.
So the greatest common factor 194,564,500 is 2.

Lets's calculate LCM of 61,78,27

3 61, 78, 27
61, 26, 9

∴ So the LCM of the given numbers is 3 x 61 x 26 x 9 = 42822

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/42822

Therefore, the GCF of Fractions 194/61,564/78,500/27 is 2/42822

Least Common Multiple of 61,78,27 with GCF Formula

Least Common Multiple of 61,78,27 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 61,78,27 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,78,27) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(61,78,27) x common factors =1 x 3 = 3

LCM(61,78,27) = ( 61 × 78 × 27 ) / 3

LCM(61,78,27) = 128466 / 3

LCM(61,78,27) = 42822


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 194/61, 564/78, 500/27

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 194/61, 564/78, 500/27?

Answer: GCF of Numerators as per given numbers 194/61, 564/78, 500/27 is

GCF of Numerators i.e. for 194,564,500 is 2

LCM of denominators i.e. for 61,78,27 is 42822.

Thus, GCF of Fractions is 2/42822.Finally, GCF of Fractions for 194/61, 564/78, 500/27 is 2/42822.