Greatest Common Factor of 587/49, 972/12, 644/195

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 587/49, 972/12, 644/195

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 587/49,972/12,644/195

Given fractions are 587/49,972/12,644/195

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 587,972,644

Greatest Common Factor of Numerators i.e. GCF of 587,972,644 is 1 .

LCM of Denominators means LCM of 49,12,195 as per the given fractions.

LCM of 49,12,195 is 38220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 587,972,644

GCF of Fractions 587/49,972/12,644/195 is 1/38220

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

Greatest Common Factor of 587,972,644 By Matching Biggest Common Factor Method

Greatest Common Factor of 587,972,644 By Matching Biggest Common Factor Method

Factors of 587

List of positive integer factors of 587 that divides 587 without a remainder.

1,587

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Greatest Common Factor

We found the factors 587,972,644 . The biggest common factor number is the GCF number.
So the greatest common factor 587,972,644 is 1.

Lets's calculate LCM of 49,12,195

3 49, 12, 195
49, 4, 65

∴ So the LCM of the given numbers is 3 x 49 x 4 x 65 = 38220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38220

Therefore, the GCF of Fractions 587/49,972/12,644/195 is 1/38220

Least Common Multiple of 49,12,195 with GCF Formula

Least Common Multiple of 49,12,195 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 49,12,195 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,12,195) = 1

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

GCF(49,12,195) x common factors =1 x 3 = 3

LCM(49,12,195) = ( 49 × 12 × 195 ) / 3

LCM(49,12,195) = 114660 / 3

LCM(49,12,195) = 38220


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 587/49, 972/12, 644/195

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 587/49, 972/12, 644/195?

Answer: GCF of Numerators as per given numbers 587/49, 972/12, 644/195 is

GCF of Numerators i.e. for 587,972,644 is 1

LCM of denominators i.e. for 49,12,195 is 38220.

Thus, GCF of Fractions is 1/38220.Finally, GCF of Fractions for 587/49, 972/12, 644/195 is 1/38220.