Greatest Common Factor of 2521/218, 8160/9630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2521/218, 8160/9630

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 2521/218,8160/9630

Given fractions are 2521/218,8160/9630

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 2521,8160

Greatest Common Factor of Numerators i.e. GCF of 2521,8160 is 1 .

LCM of Denominators means LCM of 218,9630 as per the given fractions.

LCM of 218,9630 is 1049670 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2521,8160

GCF of Fractions 2521/218,8160/9630 is 1/1049670

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

Greatest Common Factor of 2521,8160 By Matching Biggest Common Factor Method

Greatest Common Factor of 2521,8160 By Matching Biggest Common Factor Method

Factors of 2521

List of positive integer factors of 2521 that divides 2521 without a remainder.

1,2521

Factors of 8160

List of positive integer factors of 8160 that divides 8160 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,17,20,24,30,32,34,40,48,51,60,68,80,85,96,102,120,136,160,170,204,240,255,272,340,408,480,510,544,680,816,1020,1360,1632,2040,2720,4080,8160

Greatest Common Factor

We found the factors 2521,8160 . The biggest common factor number is the GCF number.
So the greatest common factor 2521,8160 is 1.

Lets's calculate LCM of 218,9630

2 218, 9630
109, 4815

∴ So the LCM of the given numbers is 2 x 109 x 4815 = 1049670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1049670

Therefore, the GCF of Fractions 2521/218,8160/9630 is 1/1049670

Least Common Multiple of 218,9630 with GCF Formula

Least Common Multiple of 218,9630 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 218,9630 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(218,9630) = 2

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

GCF(218,9630) x common factors =2 x 1 = 2

LCM(218,9630) = ( 218 × 9630 ) / 2

LCM(218,9630) = 2099340 / 2

LCM(218,9630) = 1049670


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 2521/218, 8160/9630

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 2521/218, 8160/9630?

Answer: GCF of Numerators as per given numbers 2521/218, 8160/9630 is

GCF of Numerators i.e. for 2521,8160 is 1

LCM of denominators i.e. for 218,9630 is 1049670.

Thus, GCF of Fractions is 1/1049670.Finally, GCF of Fractions for 2521/218, 8160/9630 is 1/1049670.