Greatest Common Factor of 172/67, 824/20, 657/323

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 172/67, 824/20, 657/323

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 172/67,824/20,657/323

Given fractions are 172/67,824/20,657/323

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 172,824,657

Greatest Common Factor of Numerators i.e. GCF of 172,824,657 is 1 .

LCM of Denominators means LCM of 67,20,323 as per the given fractions.

LCM of 67,20,323 is 432820 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 172,824,657

GCF of Fractions 172/67,824/20,657/323 is 1/432820

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

Greatest Common Factor of 172,824,657 By Matching Biggest Common Factor Method

Greatest Common Factor of 172,824,657 By Matching Biggest Common Factor Method

Factors of 172

List of positive integer factors of 172 that divides 172 without a remainder.

1,2,4,43,86,172

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Factors of 657

List of positive integer factors of 657 that divides 657 without a remainder.

1,3,9,73,219,657

Greatest Common Factor

We found the factors 172,824,657 . The biggest common factor number is the GCF number.
So the greatest common factor 172,824,657 is 1.

Lets's calculate LCM of 67,20,323

Given numbers has no common factors except 1. So, there LCM is their product i.e 432820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/432820

Therefore, the GCF of Fractions 172/67,824/20,657/323 is 1/432820

Least Common Multiple of 67,20,323 with GCF Formula

Least Common Multiple of 67,20,323 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 67,20,323 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,20,323) = 1

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

GCF(67,20,323) x common factors =1 x 1 = 1

LCM(67,20,323) = ( 67 × 20 × 323 ) / 1

LCM(67,20,323) = 432820 / 1

LCM(67,20,323) = 432820


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 172/67, 824/20, 657/323

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 172/67, 824/20, 657/323?

Answer: GCF of Numerators as per given numbers 172/67, 824/20, 657/323 is

GCF of Numerators i.e. for 172,824,657 is 1

LCM of denominators i.e. for 67,20,323 is 432820.

Thus, GCF of Fractions is 1/432820.Finally, GCF of Fractions for 172/67, 824/20, 657/323 is 1/432820.