Greatest Common Factor of 475/81, 142/2113

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 475/81, 142/2113

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 475/81,142/2113

Given fractions are 475/81,142/2113

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 475,142

Greatest Common Factor of Numerators i.e. GCF of 475,142 is 1 .

LCM of Denominators means LCM of 81,2113 as per the given fractions.

LCM of 81,2113 is 171153 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 475,142

GCF of Fractions 475/81,142/2113 is 1/171153

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

Greatest Common Factor of 475,142 By Matching Biggest Common Factor Method

Greatest Common Factor of 475,142 By Matching Biggest Common Factor Method

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Greatest Common Factor

We found the factors 475,142 . The biggest common factor number is the GCF number.
So the greatest common factor 475,142 is 1.

Lets's calculate LCM of 81,2113

Given numbers has no common factors except 1. So, there LCM is their product i.e 171153

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/171153

Therefore, the GCF of Fractions 475/81,142/2113 is 1/171153

Least Common Multiple of 81,2113 with GCF Formula

Least Common Multiple of 81,2113 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 81,2113 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,2113) = 1

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

GCF(81,2113) x common factors =1 x 1 = 1

LCM(81,2113) = ( 81 × 2113 ) / 1

LCM(81,2113) = 171153 / 1

LCM(81,2113) = 171153


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 475/81, 142/2113

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 475/81, 142/2113?

Answer: GCF of Numerators as per given numbers 475/81, 142/2113 is

GCF of Numerators i.e. for 475,142 is 1

LCM of denominators i.e. for 81,2113 is 171153.

Thus, GCF of Fractions is 1/171153.Finally, GCF of Fractions for 475/81, 142/2113 is 1/171153.