Greatest Common Factor of 253/83, 323/178

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 253/83, 323/178

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 253/83,323/178

Given fractions are 253/83,323/178

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 253,323

Greatest Common Factor of Numerators i.e. GCF of 253,323 is 1 .

LCM of Denominators means LCM of 83,178 as per the given fractions.

LCM of 83,178 is 14774 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 253,323

GCF of Fractions 253/83,323/178 is 1/14774

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

Greatest Common Factor of 253,323 By Matching Biggest Common Factor Method

Greatest Common Factor of 253,323 By Matching Biggest Common Factor Method

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Factors of 323

List of positive integer factors of 323 that divides 323 without a remainder.

1,17,19,323

Greatest Common Factor

We found the factors 253,323 . The biggest common factor number is the GCF number.
So the greatest common factor 253,323 is 1.

Lets's calculate LCM of 83,178

Given numbers has no common factors except 1. So, there LCM is their product i.e 14774

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14774

Therefore, the GCF of Fractions 253/83,323/178 is 1/14774

Least Common Multiple of 83,178 with GCF Formula

Least Common Multiple of 83,178 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 83,178 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,178) = 1

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

GCF(83,178) x common factors =1 x 1 = 1

LCM(83,178) = ( 83 × 178 ) / 1

LCM(83,178) = 14774 / 1

LCM(83,178) = 14774


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 253/83, 323/178

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 253/83, 323/178?

Answer: GCF of Numerators as per given numbers 253/83, 323/178 is

GCF of Numerators i.e. for 253,323 is 1

LCM of denominators i.e. for 83,178 is 14774.

Thus, GCF of Fractions is 1/14774.Finally, GCF of Fractions for 253/83, 323/178 is 1/14774.