Greatest Common Factor of 692/171, 5886/189

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 692/171, 5886/189

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 692/171,5886/189

Given fractions are 692/171,5886/189

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 692,5886

Greatest Common Factor of Numerators i.e. GCF of 692,5886 is 2 .

LCM of Denominators means LCM of 171,189 as per the given fractions.

LCM of 171,189 is 3591 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 692,5886

GCF of Fractions 692/171,5886/189 is 2/3591

2 692, 5886
346, 2943

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

Greatest Common Factor of 692,5886 By Matching Biggest Common Factor Method

Greatest Common Factor of 692,5886 By Matching Biggest Common Factor Method

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Factors of 5886

List of positive integer factors of 5886 that divides 5886 without a remainder.

1,2,3,6,9,18,27,54,109,218,327,654,981,1962,2943,5886

Greatest Common Factor

We found the factors 692,5886 . The biggest common factor number is the GCF number.
So the greatest common factor 692,5886 is 2.

Lets's calculate LCM of 171,189

3 171, 189
3 57, 63
19, 21

∴ So the LCM of the given numbers is 3 x 3 x 19 x 21 = 3591

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3591

Therefore, the GCF of Fractions 692/171,5886/189 is 2/3591

Least Common Multiple of 171,189 with GCF Formula

Least Common Multiple of 171,189 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 171,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(171,189) = 9

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

GCF(171,189) x common factors =9 x 1 = 9

LCM(171,189) = ( 171 × 189 ) / 9

LCM(171,189) = 32319 / 9

LCM(171,189) = 3591


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 692/171, 5886/189

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 692/171, 5886/189?

Answer: GCF of Numerators as per given numbers 692/171, 5886/189 is

GCF of Numerators i.e. for 692,5886 is 2

LCM of denominators i.e. for 171,189 is 3591.

Thus, GCF of Fractions is 2/3591.Finally, GCF of Fractions for 692/171, 5886/189 is 2/3591.