Greatest Common Factor of 6051/301, 2988/5244

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6051/301, 2988/5244

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 6051/301,2988/5244

Given fractions are 6051/301,2988/5244

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 6051,2988

Greatest Common Factor of Numerators i.e. GCF of 6051,2988 is 3 .

LCM of Denominators means LCM of 301,5244 as per the given fractions.

LCM of 301,5244 is 1578444 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6051,2988

GCF of Fractions 6051/301,2988/5244 is 3/1578444

3 6051, 2988
2017, 996

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

Greatest Common Factor of 6051,2988 By Matching Biggest Common Factor Method

Greatest Common Factor of 6051,2988 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 2988

List of positive integer factors of 2988 that divides 2988 without a remainder.

1,2,3,4,6,9,12,18,36,83,166,249,332,498,747,996,1494,2988

Greatest Common Factor

We found the factors 6051,2988 . The biggest common factor number is the GCF number.
So the greatest common factor 6051,2988 is 3.

Lets's calculate LCM of 301,5244

Given numbers has no common factors except 1. So, there LCM is their product i.e 1578444

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1578444

Therefore, the GCF of Fractions 6051/301,2988/5244 is 3/1578444

Least Common Multiple of 301,5244 with GCF Formula

Least Common Multiple of 301,5244 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 301,5244 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(301,5244) = 1

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

GCF(301,5244) x common factors =1 x 1 = 1

LCM(301,5244) = ( 301 × 5244 ) / 1

LCM(301,5244) = 1578444 / 1

LCM(301,5244) = 1578444


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 6051/301, 2988/5244

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 6051/301, 2988/5244?

Answer: GCF of Numerators as per given numbers 6051/301, 2988/5244 is

GCF of Numerators i.e. for 6051,2988 is 3

LCM of denominators i.e. for 301,5244 is 1578444.

Thus, GCF of Fractions is 3/1578444.Finally, GCF of Fractions for 6051/301, 2988/5244 is 3/1578444.