Greatest Common Factor of 97/68, 81/89, 15/65, 80/209

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 97/68, 81/89, 15/65, 80/209

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 97/68,81/89,15/65,80/209

Given fractions are 97/68,81/89,15/65,80/209

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 97,81,15,80

Greatest Common Factor of Numerators i.e. GCF of 97,81,15,80 is 1 .

LCM of Denominators means LCM of 68,89,65,209 as per the given fractions.

LCM of 68,89,65,209 is 82216420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 97,81,15,80

GCF of Fractions 97/68,81/89,15/65,80/209 is 1/82216420

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

Greatest Common Factor of 97,81,15,80 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,81,15,80 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Greatest Common Factor

We found the factors 97,81,15,80 . The biggest common factor number is the GCF number.
So the greatest common factor 97,81,15,80 is 1.

Lets's calculate LCM of 68,89,65,209

Given numbers has no common factors except 1. So, there LCM is their product i.e 82216420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/82216420

Therefore, the GCF of Fractions 97/68,81/89,15/65,80/209 is 1/82216420

Least Common Multiple of 68,89,65,209 with GCF Formula

Least Common Multiple of 68,89,65,209 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 68,89,65,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,89,65,209) = 1

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

GCF(68,89,65,209) x common factors =1 x 1 = 1

LCM(68,89,65,209) = ( 68 × 89 × 65 × 209 ) / 1

LCM(68,89,65,209) = 82216420 / 1

LCM(68,89,65,209) = 82216420


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 97/68, 81/89, 15/65, 80/209

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 97/68, 81/89, 15/65, 80/209?

Answer: GCF of Numerators as per given numbers 97/68, 81/89, 15/65, 80/209 is

GCF of Numerators i.e. for 97,81,15,80 is 1

LCM of denominators i.e. for 68,89,65,209 is 82216420.

Thus, GCF of Fractions is 1/82216420.Finally, GCF of Fractions for 97/68, 81/89, 15/65, 80/209 is 1/82216420.