Greatest Common Factor of 570/338, 1310/824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 570/338, 1310/824

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 570/338,1310/824

Given fractions are 570/338,1310/824

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 570,1310

Greatest Common Factor of Numerators i.e. GCF of 570,1310 is 10 .

LCM of Denominators means LCM of 338,824 as per the given fractions.

LCM of 338,824 is 139256 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 570,1310

GCF of Fractions 570/338,1310/824 is 10/139256

2 570, 1310
5 285, 655
57, 131

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

Greatest Common Factor of 570,1310 By Matching Biggest Common Factor Method

Greatest Common Factor of 570,1310 By Matching Biggest Common Factor Method

Factors of 570

List of positive integer factors of 570 that divides 570 without a remainder.

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Factors of 1310

List of positive integer factors of 1310 that divides 1310 without a remainder.

1,2,5,10,131,262,655,1310

Greatest Common Factor

We found the factors 570,1310 . The biggest common factor number is the GCF number.
So the greatest common factor 570,1310 is 10.

Lets's calculate LCM of 338,824

2 338, 824
169, 412

∴ So the LCM of the given numbers is 2 x 169 x 412 = 139256

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/139256

Therefore, the GCF of Fractions 570/338,1310/824 is 10/139256

Least Common Multiple of 338,824 with GCF Formula

Least Common Multiple of 338,824 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 338,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(338,824) = 2

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

GCF(338,824) x common factors =2 x 1 = 2

LCM(338,824) = ( 338 × 824 ) / 2

LCM(338,824) = 278512 / 2

LCM(338,824) = 139256


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 570/338, 1310/824

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 570/338, 1310/824?

Answer: GCF of Numerators as per given numbers 570/338, 1310/824 is

GCF of Numerators i.e. for 570,1310 is 10

LCM of denominators i.e. for 338,824 is 139256.

Thus, GCF of Fractions is 10/139256.Finally, GCF of Fractions for 570/338, 1310/824 is 10/139256.