Greatest Common Factor of 5036/36, 6144/542

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5036/36, 6144/542

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 5036/36,6144/542

Given fractions are 5036/36,6144/542

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 5036,6144

Greatest Common Factor of Numerators i.e. GCF of 5036,6144 is 4 .

LCM of Denominators means LCM of 36,542 as per the given fractions.

LCM of 36,542 is 9756 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5036,6144

GCF of Fractions 5036/36,6144/542 is 4/9756

2 5036, 6144
2 2518, 3072
1259, 1536

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 5036,6144 By Matching Biggest Common Factor Method

Greatest Common Factor of 5036,6144 By Matching Biggest Common Factor Method

Factors of 5036

List of positive integer factors of 5036 that divides 5036 without a remainder.

1,2,4,1259,2518,5036

Factors of 6144

List of positive integer factors of 6144 that divides 6144 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,512,768,1024,1536,2048,3072,6144

Greatest Common Factor

We found the factors 5036,6144 . The biggest common factor number is the GCF number.
So the greatest common factor 5036,6144 is 4.

Lets's calculate LCM of 36,542

2 36, 542
18, 271

∴ So the LCM of the given numbers is 2 x 18 x 271 = 9756

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/9756

Therefore, the GCF of Fractions 5036/36,6144/542 is 4/9756

Least Common Multiple of 36,542 with GCF Formula

Least Common Multiple of 36,542 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 36,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,542) = 2

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

GCF(36,542) x common factors =2 x 1 = 2

LCM(36,542) = ( 36 × 542 ) / 2

LCM(36,542) = 19512 / 2

LCM(36,542) = 9756


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 5036/36, 6144/542

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 5036/36, 6144/542?

Answer: GCF of Numerators as per given numbers 5036/36, 6144/542 is

GCF of Numerators i.e. for 5036,6144 is 4

LCM of denominators i.e. for 36,542 is 9756.

Thus, GCF of Fractions is 4/9756.Finally, GCF of Fractions for 5036/36, 6144/542 is 4/9756.