Greatest Common Factor of 618/490, 7149/652

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 618/490, 7149/652

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 618/490,7149/652

Given fractions are 618/490,7149/652

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 618,7149

Greatest Common Factor of Numerators i.e. GCF of 618,7149 is 3 .

LCM of Denominators means LCM of 490,652 as per the given fractions.

LCM of 490,652 is 159740 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 618,7149

GCF of Fractions 618/490,7149/652 is 3/159740

3 618, 7149
206, 2383

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

Greatest Common Factor of 618,7149 By Matching Biggest Common Factor Method

Greatest Common Factor of 618,7149 By Matching Biggest Common Factor Method

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Factors of 7149

List of positive integer factors of 7149 that divides 7149 without a remainder.

1,3,2383,7149

Greatest Common Factor

We found the factors 618,7149 . The biggest common factor number is the GCF number.
So the greatest common factor 618,7149 is 3.

Lets's calculate LCM of 490,652

2 490, 652
245, 326

∴ So the LCM of the given numbers is 2 x 245 x 326 = 159740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/159740

Therefore, the GCF of Fractions 618/490,7149/652 is 3/159740

Least Common Multiple of 490,652 with GCF Formula

Least Common Multiple of 490,652 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 490,652 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(490,652) = 2

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

GCF(490,652) x common factors =2 x 1 = 2

LCM(490,652) = ( 490 × 652 ) / 2

LCM(490,652) = 319480 / 2

LCM(490,652) = 159740


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 618/490, 7149/652

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 618/490, 7149/652?

Answer: GCF of Numerators as per given numbers 618/490, 7149/652 is

GCF of Numerators i.e. for 618,7149 is 3

LCM of denominators i.e. for 490,652 is 159740.

Thus, GCF of Fractions is 3/159740.Finally, GCF of Fractions for 618/490, 7149/652 is 3/159740.