Greatest Common Factor of 6333/37, 4746/141

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6333/37, 4746/141

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 6333/37,4746/141

Given fractions are 6333/37,4746/141

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 6333,4746

Greatest Common Factor of Numerators i.e. GCF of 6333,4746 is 3 .

LCM of Denominators means LCM of 37,141 as per the given fractions.

LCM of 37,141 is 5217 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6333,4746

GCF of Fractions 6333/37,4746/141 is 3/5217

3 6333, 4746
2111, 1582

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

Greatest Common Factor of 6333,4746 By Matching Biggest Common Factor Method

Greatest Common Factor of 6333,4746 By Matching Biggest Common Factor Method

Factors of 6333

List of positive integer factors of 6333 that divides 6333 without a remainder.

1,3,2111,6333

Factors of 4746

List of positive integer factors of 4746 that divides 4746 without a remainder.

1,2,3,6,7,14,21,42,113,226,339,678,791,1582,2373,4746

Greatest Common Factor

We found the factors 6333,4746 . The biggest common factor number is the GCF number.
So the greatest common factor 6333,4746 is 3.

Lets's calculate LCM of 37,141

Given numbers has no common factors except 1. So, there LCM is their product i.e 5217

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5217

Therefore, the GCF of Fractions 6333/37,4746/141 is 3/5217

Least Common Multiple of 37,141 with GCF Formula

Least Common Multiple of 37,141 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 37,141 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,141) = 1

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

GCF(37,141) x common factors =1 x 1 = 1

LCM(37,141) = ( 37 × 141 ) / 1

LCM(37,141) = 5217 / 1

LCM(37,141) = 5217


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 6333/37, 4746/141

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 6333/37, 4746/141?

Answer: GCF of Numerators as per given numbers 6333/37, 4746/141 is

GCF of Numerators i.e. for 6333,4746 is 3

LCM of denominators i.e. for 37,141 is 5217.

Thus, GCF of Fractions is 3/5217.Finally, GCF of Fractions for 6333/37, 4746/141 is 3/5217.