Greatest Common Factor of 2396/829, 5526/3612

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2396/829, 5526/3612

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 2396/829,5526/3612

Given fractions are 2396/829,5526/3612

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 2396,5526

Greatest Common Factor of Numerators i.e. GCF of 2396,5526 is 2 .

LCM of Denominators means LCM of 829,3612 as per the given fractions.

LCM of 829,3612 is 2994348 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2396,5526

GCF of Fractions 2396/829,5526/3612 is 2/2994348

2 2396, 5526
1198, 2763

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 2396,5526 By Matching Biggest Common Factor Method

Greatest Common Factor of 2396,5526 By Matching Biggest Common Factor Method

Factors of 2396

List of positive integer factors of 2396 that divides 2396 without a remainder.

1,2,4,599,1198,2396

Factors of 5526

List of positive integer factors of 5526 that divides 5526 without a remainder.

1,2,3,6,9,18,307,614,921,1842,2763,5526

Greatest Common Factor

We found the factors 2396,5526 . The biggest common factor number is the GCF number.
So the greatest common factor 2396,5526 is 2.

Lets's calculate LCM of 829,3612

Given numbers has no common factors except 1. So, there LCM is their product i.e 2994348

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2994348

Therefore, the GCF of Fractions 2396/829,5526/3612 is 2/2994348

Least Common Multiple of 829,3612 with GCF Formula

Least Common Multiple of 829,3612 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 829,3612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(829,3612) = 1

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

GCF(829,3612) x common factors =1 x 1 = 1

LCM(829,3612) = ( 829 × 3612 ) / 1

LCM(829,3612) = 2994348 / 1

LCM(829,3612) = 2994348


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 2396/829, 5526/3612

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 2396/829, 5526/3612?

Answer: GCF of Numerators as per given numbers 2396/829, 5526/3612 is

GCF of Numerators i.e. for 2396,5526 is 2

LCM of denominators i.e. for 829,3612 is 2994348.

Thus, GCF of Fractions is 2/2994348.Finally, GCF of Fractions for 2396/829, 5526/3612 is 2/2994348.