Greatest Common Factor of 1515/532, 9711/806

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1515/532, 9711/806

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 1515/532,9711/806

Given fractions are 1515/532,9711/806

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 1515,9711

Greatest Common Factor of Numerators i.e. GCF of 1515,9711 is 3 .

LCM of Denominators means LCM of 532,806 as per the given fractions.

LCM of 532,806 is 214396 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1515,9711

GCF of Fractions 1515/532,9711/806 is 3/214396

3 1515, 9711
505, 3237

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

Greatest Common Factor of 1515,9711 By Matching Biggest Common Factor Method

Greatest Common Factor of 1515,9711 By Matching Biggest Common Factor Method

Factors of 1515

List of positive integer factors of 1515 that divides 1515 without a remainder.

1,3,5,15,101,303,505,1515

Factors of 9711

List of positive integer factors of 9711 that divides 9711 without a remainder.

1,3,9,13,39,83,117,249,747,1079,3237,9711

Greatest Common Factor

We found the factors 1515,9711 . The biggest common factor number is the GCF number.
So the greatest common factor 1515,9711 is 3.

Lets's calculate LCM of 532,806

2 532, 806
266, 403

∴ So the LCM of the given numbers is 2 x 266 x 403 = 214396

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/214396

Therefore, the GCF of Fractions 1515/532,9711/806 is 3/214396

Least Common Multiple of 532,806 with GCF Formula

Least Common Multiple of 532,806 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 532,806 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(532,806) = 2

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

GCF(532,806) x common factors =2 x 1 = 2

LCM(532,806) = ( 532 × 806 ) / 2

LCM(532,806) = 428792 / 2

LCM(532,806) = 214396


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 1515/532, 9711/806

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 1515/532, 9711/806?

Answer: GCF of Numerators as per given numbers 1515/532, 9711/806 is

GCF of Numerators i.e. for 1515,9711 is 3

LCM of denominators i.e. for 532,806 is 214396.

Thus, GCF of Fractions is 3/214396.Finally, GCF of Fractions for 1515/532, 9711/806 is 3/214396.