Greatest Common Factor of 51/539, 1035/3927

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 51/539, 1035/3927

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 51/539,1035/3927

Given fractions are 51/539,1035/3927

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 51,1035

Greatest Common Factor of Numerators i.e. GCF of 51,1035 is 3 .

LCM of Denominators means LCM of 539,3927 as per the given fractions.

LCM of 539,3927 is 27489 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 51,1035

GCF of Fractions 51/539,1035/3927 is 3/27489

3 51, 1035
17, 345

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

Greatest Common Factor of 51,1035 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,1035 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 1035

List of positive integer factors of 1035 that divides 1035 without a remainder.

1,3,5,9,15,23,45,69,115,207,345,1035

Greatest Common Factor

We found the factors 51,1035 . The biggest common factor number is the GCF number.
So the greatest common factor 51,1035 is 3.

Lets's calculate LCM of 539,3927

7 539, 3927
11 77, 561
7, 51

∴ So the LCM of the given numbers is 7 x 11 x 7 x 51 = 27489

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/27489

Therefore, the GCF of Fractions 51/539,1035/3927 is 3/27489

Least Common Multiple of 539,3927 with GCF Formula

Least Common Multiple of 539,3927 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 539,3927 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(539,3927) = 77

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

GCF(539,3927) x common factors =77 x 1 = 77

LCM(539,3927) = ( 539 × 3927 ) / 77

LCM(539,3927) = 2116653 / 77

LCM(539,3927) = 27489


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 51/539, 1035/3927

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 51/539, 1035/3927?

Answer: GCF of Numerators as per given numbers 51/539, 1035/3927 is

GCF of Numerators i.e. for 51,1035 is 3

LCM of denominators i.e. for 539,3927 is 27489.

Thus, GCF of Fractions is 3/27489.Finally, GCF of Fractions for 51/539, 1035/3927 is 3/27489.