Greatest Common Factor of 162/283, 8689/657

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 162/283, 8689/657

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 162/283,8689/657

Given fractions are 162/283,8689/657

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 162,8689

Greatest Common Factor of Numerators i.e. GCF of 162,8689 is 1 .

LCM of Denominators means LCM of 283,657 as per the given fractions.

LCM of 283,657 is 185931 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 162,8689

GCF of Fractions 162/283,8689/657 is 1/185931

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

Greatest Common Factor of 162,8689 By Matching Biggest Common Factor Method

Greatest Common Factor of 162,8689 By Matching Biggest Common Factor Method

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Factors of 8689

List of positive integer factors of 8689 that divides 8689 without a remainder.

1,8689

Greatest Common Factor

We found the factors 162,8689 . The biggest common factor number is the GCF number.
So the greatest common factor 162,8689 is 1.

Lets's calculate LCM of 283,657

Given numbers has no common factors except 1. So, there LCM is their product i.e 185931

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/185931

Therefore, the GCF of Fractions 162/283,8689/657 is 1/185931

Least Common Multiple of 283,657 with GCF Formula

Least Common Multiple of 283,657 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 283,657 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(283,657) = 1

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

GCF(283,657) x common factors =1 x 1 = 1

LCM(283,657) = ( 283 × 657 ) / 1

LCM(283,657) = 185931 / 1

LCM(283,657) = 185931


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 162/283, 8689/657

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 162/283, 8689/657?

Answer: GCF of Numerators as per given numbers 162/283, 8689/657 is

GCF of Numerators i.e. for 162,8689 is 1

LCM of denominators i.e. for 283,657 is 185931.

Thus, GCF of Fractions is 1/185931.Finally, GCF of Fractions for 162/283, 8689/657 is 1/185931.