Greatest Common Factor of 6276/532, 3897/6024

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6276/532, 3897/6024

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 6276/532,3897/6024

Given fractions are 6276/532,3897/6024

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 6276,3897

Greatest Common Factor of Numerators i.e. GCF of 6276,3897 is 3 .

LCM of Denominators means LCM of 532,6024 as per the given fractions.

LCM of 532,6024 is 801192 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6276,3897

GCF of Fractions 6276/532,3897/6024 is 3/801192

3 6276, 3897
2092, 1299

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

Greatest Common Factor of 6276,3897 By Matching Biggest Common Factor Method

Greatest Common Factor of 6276,3897 By Matching Biggest Common Factor Method

Factors of 6276

List of positive integer factors of 6276 that divides 6276 without a remainder.

1,2,3,4,6,12,523,1046,1569,2092,3138,6276

Factors of 3897

List of positive integer factors of 3897 that divides 3897 without a remainder.

1,3,9,433,1299,3897

Greatest Common Factor

We found the factors 6276,3897 . The biggest common factor number is the GCF number.
So the greatest common factor 6276,3897 is 3.

Lets's calculate LCM of 532,6024

2 532, 6024
2 266, 3012
133, 1506

∴ So the LCM of the given numbers is 2 x 2 x 133 x 1506 = 801192

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/801192

Therefore, the GCF of Fractions 6276/532,3897/6024 is 3/801192

Least Common Multiple of 532,6024 with GCF Formula

Least Common Multiple of 532,6024 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 532,6024 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(532,6024) = 4

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

GCF(532,6024) x common factors =4 x 1 = 4

LCM(532,6024) = ( 532 × 6024 ) / 4

LCM(532,6024) = 3204768 / 4

LCM(532,6024) = 801192


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 6276/532, 3897/6024

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 6276/532, 3897/6024?

Answer: GCF of Numerators as per given numbers 6276/532, 3897/6024 is

GCF of Numerators i.e. for 6276,3897 is 3

LCM of denominators i.e. for 532,6024 is 801192.

Thus, GCF of Fractions is 3/801192.Finally, GCF of Fractions for 6276/532, 3897/6024 is 3/801192.