Greatest Common Factor of 5032/827, 2936/5849

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5032/827, 2936/5849

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 5032/827,2936/5849

Given fractions are 5032/827,2936/5849

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 5032,2936

Greatest Common Factor of Numerators i.e. GCF of 5032,2936 is 8 .

LCM of Denominators means LCM of 827,5849 as per the given fractions.

LCM of 827,5849 is 4837123 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5032,2936

GCF of Fractions 5032/827,2936/5849 is 8/4837123

2 5032, 2936
2 2516, 1468
2 1258, 734
629, 367

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 5032,2936 By Matching Biggest Common Factor Method

Greatest Common Factor of 5032,2936 By Matching Biggest Common Factor Method

Factors of 5032

List of positive integer factors of 5032 that divides 5032 without a remainder.

1,2,4,8,17,34,37,68,74,136,148,296,629,1258,2516,5032

Factors of 2936

List of positive integer factors of 2936 that divides 2936 without a remainder.

1,2,4,8,367,734,1468,2936

Greatest Common Factor

We found the factors 5032,2936 . The biggest common factor number is the GCF number.
So the greatest common factor 5032,2936 is 8.

Lets's calculate LCM of 827,5849

Given numbers has no common factors except 1. So, there LCM is their product i.e 4837123

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/4837123

Therefore, the GCF of Fractions 5032/827,2936/5849 is 8/4837123

Least Common Multiple of 827,5849 with GCF Formula

Least Common Multiple of 827,5849 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 827,5849 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(827,5849) = 1

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

GCF(827,5849) x common factors =1 x 1 = 1

LCM(827,5849) = ( 827 × 5849 ) / 1

LCM(827,5849) = 4837123 / 1

LCM(827,5849) = 4837123


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 5032/827, 2936/5849

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 5032/827, 2936/5849?

Answer: GCF of Numerators as per given numbers 5032/827, 2936/5849 is

GCF of Numerators i.e. for 5032,2936 is 8

LCM of denominators i.e. for 827,5849 is 4837123.

Thus, GCF of Fractions is 8/4837123.Finally, GCF of Fractions for 5032/827, 2936/5849 is 8/4837123.