Greatest Common Factor of 423/692, 232/165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 423/692, 232/165

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 423/692,232/165

Given fractions are 423/692,232/165

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 423,232

Greatest Common Factor of Numerators i.e. GCF of 423,232 is 1 .

LCM of Denominators means LCM of 692,165 as per the given fractions.

LCM of 692,165 is 114180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 423,232

GCF of Fractions 423/692,232/165 is 1/114180

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

Greatest Common Factor of 423,232 By Matching Biggest Common Factor Method

Greatest Common Factor of 423,232 By Matching Biggest Common Factor Method

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

Greatest Common Factor

We found the factors 423,232 . The biggest common factor number is the GCF number.
So the greatest common factor 423,232 is 1.

Lets's calculate LCM of 692,165

Given numbers has no common factors except 1. So, there LCM is their product i.e 114180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/114180

Therefore, the GCF of Fractions 423/692,232/165 is 1/114180

Least Common Multiple of 692,165 with GCF Formula

Least Common Multiple of 692,165 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 692,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(692,165) = 1

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

GCF(692,165) x common factors =1 x 1 = 1

LCM(692,165) = ( 692 × 165 ) / 1

LCM(692,165) = 114180 / 1

LCM(692,165) = 114180


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 423/692, 232/165

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 423/692, 232/165?

Answer: GCF of Numerators as per given numbers 423/692, 232/165 is

GCF of Numerators i.e. for 423,232 is 1

LCM of denominators i.e. for 692,165 is 114180.

Thus, GCF of Fractions is 1/114180.Finally, GCF of Fractions for 423/692, 232/165 is 1/114180.