Greatest Common Factor of 327/82, 897/25, 686/23

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 327/82, 897/25, 686/23

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 327/82,897/25,686/23

Given fractions are 327/82,897/25,686/23

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 327,897,686

Greatest Common Factor of Numerators i.e. GCF of 327,897,686 is 1 .

LCM of Denominators means LCM of 82,25,23 as per the given fractions.

LCM of 82,25,23 is 47150 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 327,897,686

GCF of Fractions 327/82,897/25,686/23 is 1/47150

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

Greatest Common Factor of 327,897,686 By Matching Biggest Common Factor Method

Greatest Common Factor of 327,897,686 By Matching Biggest Common Factor Method

Factors of 327

List of positive integer factors of 327 that divides 327 without a remainder.

1,3,109,327

Factors of 897

List of positive integer factors of 897 that divides 897 without a remainder.

1,3,13,23,39,69,299,897

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Greatest Common Factor

We found the factors 327,897,686 . The biggest common factor number is the GCF number.
So the greatest common factor 327,897,686 is 1.

Lets's calculate LCM of 82,25,23

Given numbers has no common factors except 1. So, there LCM is their product i.e 47150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47150

Therefore, the GCF of Fractions 327/82,897/25,686/23 is 1/47150

Least Common Multiple of 82,25,23 with GCF Formula

Least Common Multiple of 82,25,23 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 82,25,23 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,25,23) = 1

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

GCF(82,25,23) x common factors =1 x 1 = 1

LCM(82,25,23) = ( 82 × 25 × 23 ) / 1

LCM(82,25,23) = 47150 / 1

LCM(82,25,23) = 47150


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 327/82, 897/25, 686/23

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 327/82, 897/25, 686/23?

Answer: GCF of Numerators as per given numbers 327/82, 897/25, 686/23 is

GCF of Numerators i.e. for 327,897,686 is 1

LCM of denominators i.e. for 82,25,23 is 47150.

Thus, GCF of Fractions is 1/47150.Finally, GCF of Fractions for 327/82, 897/25, 686/23 is 1/47150.