Greatest Common Factor of 1392/166, 8609/5748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1392/166, 8609/5748

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 1392/166,8609/5748

Given fractions are 1392/166,8609/5748

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 1392,8609

Greatest Common Factor of Numerators i.e. GCF of 1392,8609 is 1 .

LCM of Denominators means LCM of 166,5748 as per the given fractions.

LCM of 166,5748 is 477084 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1392,8609

GCF of Fractions 1392/166,8609/5748 is 1/477084

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 1392,8609 By Matching Biggest Common Factor Method

Greatest Common Factor of 1392,8609 By Matching Biggest Common Factor Method

Factors of 1392

List of positive integer factors of 1392 that divides 1392 without a remainder.

1,2,3,4,6,8,12,16,24,29,48,58,87,116,174,232,348,464,696,1392

Factors of 8609

List of positive integer factors of 8609 that divides 8609 without a remainder.

1,8609

Greatest Common Factor

We found the factors 1392,8609 . The biggest common factor number is the GCF number.
So the greatest common factor 1392,8609 is 1.

Lets's calculate LCM of 166,5748

2 166, 5748
83, 2874

∴ So the LCM of the given numbers is 2 x 83 x 2874 = 477084

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/477084

Therefore, the GCF of Fractions 1392/166,8609/5748 is 1/477084

Least Common Multiple of 166,5748 with GCF Formula

Least Common Multiple of 166,5748 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 166,5748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(166,5748) = 2

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

GCF(166,5748) x common factors =2 x 1 = 2

LCM(166,5748) = ( 166 × 5748 ) / 2

LCM(166,5748) = 954168 / 2

LCM(166,5748) = 477084


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 1392/166, 8609/5748

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 1392/166, 8609/5748?

Answer: GCF of Numerators as per given numbers 1392/166, 8609/5748 is

GCF of Numerators i.e. for 1392,8609 is 1

LCM of denominators i.e. for 166,5748 is 477084.

Thus, GCF of Fractions is 1/477084.Finally, GCF of Fractions for 1392/166, 8609/5748 is 1/477084.