Greatest Common Factor of 471/1529, 636/2146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 471/1529, 636/2146

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 471/1529,636/2146

Given fractions are 471/1529,636/2146

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 471,636

Greatest Common Factor of Numerators i.e. GCF of 471,636 is 3 .

LCM of Denominators means LCM of 1529,2146 as per the given fractions.

LCM of 1529,2146 is 3281234 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 471,636

GCF of Fractions 471/1529,636/2146 is 3/3281234

3 471, 636
157, 212

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 471,636 By Matching Biggest Common Factor Method

Greatest Common Factor of 471,636 By Matching Biggest Common Factor Method

Factors of 471

List of positive integer factors of 471 that divides 471 without a remainder.

1,3,157,471

Factors of 636

List of positive integer factors of 636 that divides 636 without a remainder.

1,2,3,4,6,12,53,106,159,212,318,636

Greatest Common Factor

We found the factors 471,636 . The biggest common factor number is the GCF number.
So the greatest common factor 471,636 is 3.

Lets's calculate LCM of 1529,2146

Given numbers has no common factors except 1. So, there LCM is their product i.e 3281234

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3281234

Therefore, the GCF of Fractions 471/1529,636/2146 is 3/3281234

Least Common Multiple of 1529,2146 with GCF Formula

Least Common Multiple of 1529,2146 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 1529,2146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1529,2146) = 1

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

GCF(1529,2146) x common factors =1 x 1 = 1

LCM(1529,2146) = ( 1529 × 2146 ) / 1

LCM(1529,2146) = 3281234 / 1

LCM(1529,2146) = 3281234


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 471/1529, 636/2146

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 471/1529, 636/2146?

Answer: GCF of Numerators as per given numbers 471/1529, 636/2146 is

GCF of Numerators i.e. for 471,636 is 3

LCM of denominators i.e. for 1529,2146 is 3281234.

Thus, GCF of Fractions is 3/3281234.Finally, GCF of Fractions for 471/1529, 636/2146 is 3/3281234.