Greatest Common Factor of 4390/188, 5708/9131

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4390/188, 5708/9131

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 4390/188,5708/9131

Given fractions are 4390/188,5708/9131

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 4390,5708

Greatest Common Factor of Numerators i.e. GCF of 4390,5708 is 2 .

LCM of Denominators means LCM of 188,9131 as per the given fractions.

LCM of 188,9131 is 1716628 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4390,5708

GCF of Fractions 4390/188,5708/9131 is 2/1716628

2 4390, 5708
2195, 2854

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 4390,5708 By Matching Biggest Common Factor Method

Greatest Common Factor of 4390,5708 By Matching Biggest Common Factor Method

Factors of 4390

List of positive integer factors of 4390 that divides 4390 without a remainder.

1,2,5,10,439,878,2195,4390

Factors of 5708

List of positive integer factors of 5708 that divides 5708 without a remainder.

1,2,4,1427,2854,5708

Greatest Common Factor

We found the factors 4390,5708 . The biggest common factor number is the GCF number.
So the greatest common factor 4390,5708 is 2.

Lets's calculate LCM of 188,9131

Given numbers has no common factors except 1. So, there LCM is their product i.e 1716628

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1716628

Therefore, the GCF of Fractions 4390/188,5708/9131 is 2/1716628

Least Common Multiple of 188,9131 with GCF Formula

Least Common Multiple of 188,9131 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 188,9131 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(188,9131) = 1

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

GCF(188,9131) x common factors =1 x 1 = 1

LCM(188,9131) = ( 188 × 9131 ) / 1

LCM(188,9131) = 1716628 / 1

LCM(188,9131) = 1716628


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 4390/188, 5708/9131

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 4390/188, 5708/9131?

Answer: GCF of Numerators as per given numbers 4390/188, 5708/9131 is

GCF of Numerators i.e. for 4390,5708 is 2

LCM of denominators i.e. for 188,9131 is 1716628.

Thus, GCF of Fractions is 2/1716628.Finally, GCF of Fractions for 4390/188, 5708/9131 is 2/1716628.