Greatest Common Factor of 4512/627, 5892/3631

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4512/627, 5892/3631

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 4512/627,5892/3631

Given fractions are 4512/627,5892/3631

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 4512,5892

Greatest Common Factor of Numerators i.e. GCF of 4512,5892 is 12 .

LCM of Denominators means LCM of 627,3631 as per the given fractions.

LCM of 627,3631 is 2276637 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4512,5892

GCF of Fractions 4512/627,5892/3631 is 12/2276637

2 4512, 5892
2 2256, 2946
3 1128, 1473
376, 491

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 4512,5892 By Matching Biggest Common Factor Method

Greatest Common Factor of 4512,5892 By Matching Biggest Common Factor Method

Factors of 4512

List of positive integer factors of 4512 that divides 4512 without a remainder.

1,2,3,4,6,8,12,16,24,32,47,48,94,96,141,188,282,376,564,752,1128,1504,2256,4512

Factors of 5892

List of positive integer factors of 5892 that divides 5892 without a remainder.

1,2,3,4,6,12,491,982,1473,1964,2946,5892

Greatest Common Factor

We found the factors 4512,5892 . The biggest common factor number is the GCF number.
So the greatest common factor 4512,5892 is 12.

Lets's calculate LCM of 627,3631

Given numbers has no common factors except 1. So, there LCM is their product i.e 2276637

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/2276637

Therefore, the GCF of Fractions 4512/627,5892/3631 is 12/2276637

Least Common Multiple of 627,3631 with GCF Formula

Least Common Multiple of 627,3631 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 627,3631 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(627,3631) = 1

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

GCF(627,3631) x common factors =1 x 1 = 1

LCM(627,3631) = ( 627 × 3631 ) / 1

LCM(627,3631) = 2276637 / 1

LCM(627,3631) = 2276637


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 4512/627, 5892/3631

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 4512/627, 5892/3631?

Answer: GCF of Numerators as per given numbers 4512/627, 5892/3631 is

GCF of Numerators i.e. for 4512,5892 is 12

LCM of denominators i.e. for 627,3631 is 2276637.

Thus, GCF of Fractions is 12/2276637.Finally, GCF of Fractions for 4512/627, 5892/3631 is 12/2276637.