Greatest Common Factor of 638/81, 168/58, 644/892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 638/81, 168/58, 644/892

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 638/81,168/58,644/892

Given fractions are 638/81,168/58,644/892

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 638,168,644

Greatest Common Factor of Numerators i.e. GCF of 638,168,644 is 2 .

LCM of Denominators means LCM of 81,58,892 as per the given fractions.

LCM of 81,58,892 is 2095308 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 638,168,644

GCF of Fractions 638/81,168/58,644/892 is 2/2095308

2 638, 168, 644
319, 84, 322

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

Greatest Common Factor of 638,168,644 By Matching Biggest Common Factor Method

Greatest Common Factor of 638,168,644 By Matching Biggest Common Factor Method

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

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 638,168,644 . The biggest common factor number is the GCF number.
So the greatest common factor 638,168,644 is 2.

Lets's calculate LCM of 81,58,892

2 81, 58, 892
81, 29, 446

∴ So the LCM of the given numbers is 2 x 81 x 29 x 446 = 2095308

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2095308

Therefore, the GCF of Fractions 638/81,168/58,644/892 is 2/2095308

Least Common Multiple of 81,58,892 with GCF Formula

Least Common Multiple of 81,58,892 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 81,58,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,58,892) = 1

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

GCF(81,58,892) x common factors =1 x 2 = 2

LCM(81,58,892) = ( 81 × 58 × 892 ) / 2

LCM(81,58,892) = 4190616 / 2

LCM(81,58,892) = 2095308


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 638/81, 168/58, 644/892

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 638/81, 168/58, 644/892?

Answer: GCF of Numerators as per given numbers 638/81, 168/58, 644/892 is

GCF of Numerators i.e. for 638,168,644 is 2

LCM of denominators i.e. for 81,58,892 is 2095308.

Thus, GCF of Fractions is 2/2095308.Finally, GCF of Fractions for 638/81, 168/58, 644/892 is 2/2095308.