Greatest Common Factor of 99/687, 2596/3809

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 99/687, 2596/3809

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 99/687,2596/3809

Given fractions are 99/687,2596/3809

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 99,2596

Greatest Common Factor of Numerators i.e. GCF of 99,2596 is 11 .

LCM of Denominators means LCM of 687,3809 as per the given fractions.

LCM of 687,3809 is 2616783 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 99,2596

GCF of Fractions 99/687,2596/3809 is 11/2616783

11 99, 2596
9, 236

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 99,2596 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,2596 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 2596

List of positive integer factors of 2596 that divides 2596 without a remainder.

1,2,4,11,22,44,59,118,236,649,1298,2596

Greatest Common Factor

We found the factors 99,2596 . The biggest common factor number is the GCF number.
So the greatest common factor 99,2596 is 11.

Lets's calculate LCM of 687,3809

Given numbers has no common factors except 1. So, there LCM is their product i.e 2616783

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/2616783

Therefore, the GCF of Fractions 99/687,2596/3809 is 11/2616783

Least Common Multiple of 687,3809 with GCF Formula

Least Common Multiple of 687,3809 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 687,3809 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(687,3809) = 1

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

GCF(687,3809) x common factors =1 x 1 = 1

LCM(687,3809) = ( 687 × 3809 ) / 1

LCM(687,3809) = 2616783 / 1

LCM(687,3809) = 2616783


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 99/687, 2596/3809

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 99/687, 2596/3809?

Answer: GCF of Numerators as per given numbers 99/687, 2596/3809 is

GCF of Numerators i.e. for 99,2596 is 11

LCM of denominators i.e. for 687,3809 is 2616783.

Thus, GCF of Fractions is 11/2616783.Finally, GCF of Fractions for 99/687, 2596/3809 is 11/2616783.