Greatest Common Factor of 323/95, 571/80, 349/956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 323/95, 571/80, 349/956

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 323/95,571/80,349/956

Given fractions are 323/95,571/80,349/956

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 323,571,349

Greatest Common Factor of Numerators i.e. GCF of 323,571,349 is 1 .

LCM of Denominators means LCM of 95,80,956 as per the given fractions.

LCM of 95,80,956 is 363280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 323,571,349

GCF of Fractions 323/95,571/80,349/956 is 1/363280

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

Greatest Common Factor of 323,571,349 By Matching Biggest Common Factor Method

Greatest Common Factor of 323,571,349 By Matching Biggest Common Factor Method

Factors of 323

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

1,17,19,323

Factors of 571

List of positive integer factors of 571 that divides 571 without a remainder.

1,571

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1,349

Greatest Common Factor

We found the factors 323,571,349 . The biggest common factor number is the GCF number.
So the greatest common factor 323,571,349 is 1.

Lets's calculate LCM of 95,80,956

2 95, 80, 956
2 95, 40, 478
5 95, 20, 239
19, 4, 239

∴ So the LCM of the given numbers is 2 x 2 x 5 x 19 x 4 x 239 = 363280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/363280

Therefore, the GCF of Fractions 323/95,571/80,349/956 is 1/363280

Least Common Multiple of 95,80,956 with GCF Formula

Least Common Multiple of 95,80,956 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 95,80,956 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,80,956) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(95,80,956) x common factors =1 x 20 = 20

LCM(95,80,956) = ( 95 × 80 × 956 ) / 20

LCM(95,80,956) = 7265600 / 20

LCM(95,80,956) = 363280


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 323/95, 571/80, 349/956

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 323/95, 571/80, 349/956?

Answer: GCF of Numerators as per given numbers 323/95, 571/80, 349/956 is

GCF of Numerators i.e. for 323,571,349 is 1

LCM of denominators i.e. for 95,80,956 is 363280.

Thus, GCF of Fractions is 1/363280.Finally, GCF of Fractions for 323/95, 571/80, 349/956 is 1/363280.