Greatest Common Factor of 1536/436, 3081/5762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1536/436, 3081/5762

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 1536/436,3081/5762

Given fractions are 1536/436,3081/5762

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 1536,3081

Greatest Common Factor of Numerators i.e. GCF of 1536,3081 is 3 .

LCM of Denominators means LCM of 436,5762 as per the given fractions.

LCM of 436,5762 is 1256116 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1536,3081

GCF of Fractions 1536/436,3081/5762 is 3/1256116

3 1536, 3081
512, 1027

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 1536,3081 By Matching Biggest Common Factor Method

Greatest Common Factor of 1536,3081 By Matching Biggest Common Factor Method

Factors of 1536

List of positive integer factors of 1536 that divides 1536 without a remainder.

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

Factors of 3081

List of positive integer factors of 3081 that divides 3081 without a remainder.

1,3,13,39,79,237,1027,3081

Greatest Common Factor

We found the factors 1536,3081 . The biggest common factor number is the GCF number.
So the greatest common factor 1536,3081 is 3.

Lets's calculate LCM of 436,5762

2 436, 5762
218, 2881

∴ So the LCM of the given numbers is 2 x 218 x 2881 = 1256116

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1256116

Therefore, the GCF of Fractions 1536/436,3081/5762 is 3/1256116

Least Common Multiple of 436,5762 with GCF Formula

Least Common Multiple of 436,5762 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 436,5762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(436,5762) = 2

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

GCF(436,5762) x common factors =2 x 1 = 2

LCM(436,5762) = ( 436 × 5762 ) / 2

LCM(436,5762) = 2512232 / 2

LCM(436,5762) = 1256116


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 1536/436, 3081/5762

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 1536/436, 3081/5762?

Answer: GCF of Numerators as per given numbers 1536/436, 3081/5762 is

GCF of Numerators i.e. for 1536,3081 is 3

LCM of denominators i.e. for 436,5762 is 1256116.

Thus, GCF of Fractions is 3/1256116.Finally, GCF of Fractions for 1536/436, 3081/5762 is 3/1256116.