Greatest Common Factor of 837/270, 4119/954

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 837/270, 4119/954

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 837/270,4119/954

Given fractions are 837/270,4119/954

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 837,4119

Greatest Common Factor of Numerators i.e. GCF of 837,4119 is 3 .

LCM of Denominators means LCM of 270,954 as per the given fractions.

LCM of 270,954 is 14310 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 837,4119

GCF of Fractions 837/270,4119/954 is 3/14310

3 837, 4119
279, 1373

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

Greatest Common Factor of 837,4119 By Matching Biggest Common Factor Method

Greatest Common Factor of 837,4119 By Matching Biggest Common Factor Method

Factors of 837

List of positive integer factors of 837 that divides 837 without a remainder.

1,3,9,27,31,93,279,837

Factors of 4119

List of positive integer factors of 4119 that divides 4119 without a remainder.

1,3,1373,4119

Greatest Common Factor

We found the factors 837,4119 . The biggest common factor number is the GCF number.
So the greatest common factor 837,4119 is 3.

Lets's calculate LCM of 270,954

2 270, 954
3 135, 477
3 45, 159
15, 53

∴ So the LCM of the given numbers is 2 x 3 x 3 x 15 x 53 = 14310

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/14310

Therefore, the GCF of Fractions 837/270,4119/954 is 3/14310

Least Common Multiple of 270,954 with GCF Formula

Least Common Multiple of 270,954 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 270,954 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(270,954) = 18

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

GCF(270,954) x common factors =18 x 1 = 18

LCM(270,954) = ( 270 × 954 ) / 18

LCM(270,954) = 257580 / 18

LCM(270,954) = 14310


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 837/270, 4119/954

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 837/270, 4119/954?

Answer: GCF of Numerators as per given numbers 837/270, 4119/954 is

GCF of Numerators i.e. for 837,4119 is 3

LCM of denominators i.e. for 270,954 is 14310.

Thus, GCF of Fractions is 3/14310.Finally, GCF of Fractions for 837/270, 4119/954 is 3/14310.