Greatest Common Factor of 820/129, 270/476

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 820/129, 270/476

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 820/129,270/476

Given fractions are 820/129,270/476

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 820,270

Greatest Common Factor of Numerators i.e. GCF of 820,270 is 10 .

LCM of Denominators means LCM of 129,476 as per the given fractions.

LCM of 129,476 is 61404 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 820,270

GCF of Fractions 820/129,270/476 is 10/61404

2 820, 270
5 410, 135
82, 27

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 820,270 By Matching Biggest Common Factor Method

Greatest Common Factor of 820,270 By Matching Biggest Common Factor Method

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Greatest Common Factor

We found the factors 820,270 . The biggest common factor number is the GCF number.
So the greatest common factor 820,270 is 10.

Lets's calculate LCM of 129,476

Given numbers has no common factors except 1. So, there LCM is their product i.e 61404

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/61404

Therefore, the GCF of Fractions 820/129,270/476 is 10/61404

Least Common Multiple of 129,476 with GCF Formula

Least Common Multiple of 129,476 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 129,476 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(129,476) = 1

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

GCF(129,476) x common factors =1 x 1 = 1

LCM(129,476) = ( 129 × 476 ) / 1

LCM(129,476) = 61404 / 1

LCM(129,476) = 61404


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 820/129, 270/476

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 820/129, 270/476?

Answer: GCF of Numerators as per given numbers 820/129, 270/476 is

GCF of Numerators i.e. for 820,270 is 10

LCM of denominators i.e. for 129,476 is 61404.

Thus, GCF of Fractions is 10/61404.Finally, GCF of Fractions for 820/129, 270/476 is 10/61404.