Greatest Common Factor of 4323/116, 3406/1637

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4323/116, 3406/1637

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 4323/116,3406/1637

Given fractions are 4323/116,3406/1637

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 4323,3406

Greatest Common Factor of Numerators i.e. GCF of 4323,3406 is 131 .

LCM of Denominators means LCM of 116,1637 as per the given fractions.

LCM of 116,1637 is 189892 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4323,3406

GCF of Fractions 4323/116,3406/1637 is 131/189892

131 4323, 3406
33, 26

∴ So the GCF of the given numbers is 131 = 131

Greatest Common Factor of 4323,3406 By Matching Biggest Common Factor Method

Greatest Common Factor of 4323,3406 By Matching Biggest Common Factor Method

Factors of 4323

List of positive integer factors of 4323 that divides 4323 without a remainder.

1,3,11,33,131,393,1441,4323

Factors of 3406

List of positive integer factors of 3406 that divides 3406 without a remainder.

1,2,13,26,131,262,1703,3406

Greatest Common Factor

We found the factors 4323,3406 . The biggest common factor number is the GCF number.
So the greatest common factor 4323,3406 is 131.

Lets's calculate LCM of 116,1637

Given numbers has no common factors except 1. So, there LCM is their product i.e 189892

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 131/189892

Therefore, the GCF of Fractions 4323/116,3406/1637 is 131/189892

Least Common Multiple of 116,1637 with GCF Formula

Least Common Multiple of 116,1637 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 116,1637 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(116,1637) = 1

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

GCF(116,1637) x common factors =1 x 1 = 1

LCM(116,1637) = ( 116 × 1637 ) / 1

LCM(116,1637) = 189892 / 1

LCM(116,1637) = 189892


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 4323/116, 3406/1637

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 4323/116, 3406/1637?

Answer: GCF of Numerators as per given numbers 4323/116, 3406/1637 is

GCF of Numerators i.e. for 4323,3406 is 131

LCM of denominators i.e. for 116,1637 is 189892.

Thus, GCF of Fractions is 131/189892.Finally, GCF of Fractions for 4323/116, 3406/1637 is 131/189892.