Greatest Common Factor of 2021/159, 3572/495

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2021/159, 3572/495

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 2021/159,3572/495

Given fractions are 2021/159,3572/495

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 2021,3572

Greatest Common Factor of Numerators i.e. GCF of 2021,3572 is 47 .

LCM of Denominators means LCM of 159,495 as per the given fractions.

LCM of 159,495 is 26235 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2021,3572

GCF of Fractions 2021/159,3572/495 is 47/26235

47 2021, 3572
43, 76

∴ So the GCF of the given numbers is 47 = 47

Greatest Common Factor of 2021,3572 By Matching Biggest Common Factor Method

Greatest Common Factor of 2021,3572 By Matching Biggest Common Factor Method

Factors of 2021

List of positive integer factors of 2021 that divides 2021 without a remainder.

1,43,47,2021

Factors of 3572

List of positive integer factors of 3572 that divides 3572 without a remainder.

1,2,4,19,38,47,76,94,188,893,1786,3572

Greatest Common Factor

We found the factors 2021,3572 . The biggest common factor number is the GCF number.
So the greatest common factor 2021,3572 is 47.

Lets's calculate LCM of 159,495

3 159, 495
53, 165

∴ So the LCM of the given numbers is 3 x 53 x 165 = 26235

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 47/26235

Therefore, the GCF of Fractions 2021/159,3572/495 is 47/26235

Least Common Multiple of 159,495 with GCF Formula

Least Common Multiple of 159,495 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 159,495 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(159,495) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(159,495) x common factors =3 x 1 = 3

LCM(159,495) = ( 159 × 495 ) / 3

LCM(159,495) = 78705 / 3

LCM(159,495) = 26235


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 2021/159, 3572/495

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 2021/159, 3572/495?

Answer: GCF of Numerators as per given numbers 2021/159, 3572/495 is

GCF of Numerators i.e. for 2021,3572 is 47

LCM of denominators i.e. for 159,495 is 26235.

Thus, GCF of Fractions is 47/26235.Finally, GCF of Fractions for 2021/159, 3572/495 is 47/26235.