Greatest Common Factor of 4206/125, 5643/131

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4206/125, 5643/131

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 4206/125,5643/131

Given fractions are 4206/125,5643/131

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 4206,5643

Greatest Common Factor of Numerators i.e. GCF of 4206,5643 is 3 .

LCM of Denominators means LCM of 125,131 as per the given fractions.

LCM of 125,131 is 16375 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4206,5643

GCF of Fractions 4206/125,5643/131 is 3/16375

3 4206, 5643
1402, 1881

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

Greatest Common Factor of 4206,5643 By Matching Biggest Common Factor Method

Greatest Common Factor of 4206,5643 By Matching Biggest Common Factor Method

Factors of 4206

List of positive integer factors of 4206 that divides 4206 without a remainder.

1,2,3,6,701,1402,2103,4206

Factors of 5643

List of positive integer factors of 5643 that divides 5643 without a remainder.

1,3,9,11,19,27,33,57,99,171,209,297,513,627,1881,5643

Greatest Common Factor

We found the factors 4206,5643 . The biggest common factor number is the GCF number.
So the greatest common factor 4206,5643 is 3.

Lets's calculate LCM of 125,131

Given numbers has no common factors except 1. So, there LCM is their product i.e 16375

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/16375

Therefore, the GCF of Fractions 4206/125,5643/131 is 3/16375

Least Common Multiple of 125,131 with GCF Formula

Least Common Multiple of 125,131 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 125,131 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(125,131) = 1

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

GCF(125,131) x common factors =1 x 1 = 1

LCM(125,131) = ( 125 × 131 ) / 1

LCM(125,131) = 16375 / 1

LCM(125,131) = 16375


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 4206/125, 5643/131

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 4206/125, 5643/131?

Answer: GCF of Numerators as per given numbers 4206/125, 5643/131 is

GCF of Numerators i.e. for 4206,5643 is 3

LCM of denominators i.e. for 125,131 is 16375.

Thus, GCF of Fractions is 3/16375.Finally, GCF of Fractions for 4206/125, 5643/131 is 3/16375.