Greatest Common Factor of 6051/74, 4134/904

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6051/74, 4134/904

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 6051/74,4134/904

Given fractions are 6051/74,4134/904

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 6051,4134

Greatest Common Factor of Numerators i.e. GCF of 6051,4134 is 3 .

LCM of Denominators means LCM of 74,904 as per the given fractions.

LCM of 74,904 is 33448 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6051,4134

GCF of Fractions 6051/74,4134/904 is 3/33448

3 6051, 4134
2017, 1378

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

Greatest Common Factor of 6051,4134 By Matching Biggest Common Factor Method

Greatest Common Factor of 6051,4134 By Matching Biggest Common Factor Method

Factors of 6051

List of positive integer factors of 6051 that divides 6051 without a remainder.

1,3,2017,6051

Factors of 4134

List of positive integer factors of 4134 that divides 4134 without a remainder.

1,2,3,6,13,26,39,53,78,106,159,318,689,1378,2067,4134

Greatest Common Factor

We found the factors 6051,4134 . The biggest common factor number is the GCF number.
So the greatest common factor 6051,4134 is 3.

Lets's calculate LCM of 74,904

2 74, 904
37, 452

∴ So the LCM of the given numbers is 2 x 37 x 452 = 33448

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/33448

Therefore, the GCF of Fractions 6051/74,4134/904 is 3/33448

Least Common Multiple of 74,904 with GCF Formula

Least Common Multiple of 74,904 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 74,904 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,904) = 2

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

GCF(74,904) x common factors =2 x 1 = 2

LCM(74,904) = ( 74 × 904 ) / 2

LCM(74,904) = 66896 / 2

LCM(74,904) = 33448


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 6051/74, 4134/904

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 6051/74, 4134/904?

Answer: GCF of Numerators as per given numbers 6051/74, 4134/904 is

GCF of Numerators i.e. for 6051,4134 is 3

LCM of denominators i.e. for 74,904 is 33448.

Thus, GCF of Fractions is 3/33448.Finally, GCF of Fractions for 6051/74, 4134/904 is 3/33448.