Greatest Common Factor of 313/832, 195/273

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 313/832, 195/273

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 313/832,195/273

Given fractions are 313/832,195/273

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 313,195

Greatest Common Factor of Numerators i.e. GCF of 313,195 is 1 .

LCM of Denominators means LCM of 832,273 as per the given fractions.

LCM of 832,273 is 17472 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 313,195

GCF of Fractions 313/832,195/273 is 1/17472

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

Greatest Common Factor of 313,195 By Matching Biggest Common Factor Method

Greatest Common Factor of 313,195 By Matching Biggest Common Factor Method

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

Greatest Common Factor

We found the factors 313,195 . The biggest common factor number is the GCF number.
So the greatest common factor 313,195 is 1.

Lets's calculate LCM of 832,273

13 832, 273
64, 21

∴ So the LCM of the given numbers is 13 x 64 x 21 = 17472

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17472

Therefore, the GCF of Fractions 313/832,195/273 is 1/17472

Least Common Multiple of 832,273 with GCF Formula

Least Common Multiple of 832,273 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 832,273 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(832,273) = 13

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

GCF(832,273) x common factors =13 x 1 = 13

LCM(832,273) = ( 832 × 273 ) / 13

LCM(832,273) = 227136 / 13

LCM(832,273) = 17472


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 313/832, 195/273

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 313/832, 195/273?

Answer: GCF of Numerators as per given numbers 313/832, 195/273 is

GCF of Numerators i.e. for 313,195 is 1

LCM of denominators i.e. for 832,273 is 17472.

Thus, GCF of Fractions is 1/17472.Finally, GCF of Fractions for 313/832, 195/273 is 1/17472.