Greatest Common Factor of 836/9884, 249/5556

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 836/9884, 249/5556

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 836/9884,249/5556

Given fractions are 836/9884,249/5556

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 836,249

Greatest Common Factor of Numerators i.e. GCF of 836,249 is 1 .

LCM of Denominators means LCM of 9884,5556 as per the given fractions.

LCM of 9884,5556 is 13728876 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 836,249

GCF of Fractions 836/9884,249/5556 is 1/13728876

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

Greatest Common Factor of 836,249 By Matching Biggest Common Factor Method

Greatest Common Factor of 836,249 By Matching Biggest Common Factor Method

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Factors of 249

List of positive integer factors of 249 that divides 249 without a remainder.

1,3,83,249

Greatest Common Factor

We found the factors 836,249 . The biggest common factor number is the GCF number.
So the greatest common factor 836,249 is 1.

Lets's calculate LCM of 9884,5556

2 9884, 5556
2 4942, 2778
2471, 1389

∴ So the LCM of the given numbers is 2 x 2 x 2471 x 1389 = 13728876

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13728876

Therefore, the GCF of Fractions 836/9884,249/5556 is 1/13728876

Least Common Multiple of 9884,5556 with GCF Formula

Least Common Multiple of 9884,5556 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 9884,5556 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9884,5556) = 4

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

GCF(9884,5556) x common factors =4 x 1 = 4

LCM(9884,5556) = ( 9884 × 5556 ) / 4

LCM(9884,5556) = 54915504 / 4

LCM(9884,5556) = 13728876


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 836/9884, 249/5556

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 836/9884, 249/5556?

Answer: GCF of Numerators as per given numbers 836/9884, 249/5556 is

GCF of Numerators i.e. for 836,249 is 1

LCM of denominators i.e. for 9884,5556 is 13728876.

Thus, GCF of Fractions is 1/13728876.Finally, GCF of Fractions for 836/9884, 249/5556 is 1/13728876.