Greatest Common Factor of 197/34, 714/80, 260/80

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 197/34, 714/80, 260/80

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 197/34,714/80,260/80

Given fractions are 197/34,714/80,260/80

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 197,714,260

Greatest Common Factor of Numerators i.e. GCF of 197,714,260 is 1 .

LCM of Denominators means LCM of 34,80,80 as per the given fractions.

LCM of 34,80,80 is 1360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 197,714,260

GCF of Fractions 197/34,714/80,260/80 is 1/1360

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

Greatest Common Factor of 197,714,260 By Matching Biggest Common Factor Method

Greatest Common Factor of 197,714,260 By Matching Biggest Common Factor Method

Factors of 197

List of positive integer factors of 197 that divides 197 without a remainder.

1,197

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Greatest Common Factor

We found the factors 197,714,260 . The biggest common factor number is the GCF number.
So the greatest common factor 197,714,260 is 1.

Lets's calculate LCM of 34,80,80

2 34, 80, 80
2 17, 40, 40
2 17, 20, 20
2 17, 10, 10
5 17, 5, 5
17, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 17 x 1 x 1 = 1360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1360

Therefore, the GCF of Fractions 197/34,714/80,260/80 is 1/1360

Least Common Multiple of 34,80,80 with GCF Formula

Least Common Multiple of 34,80,80 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 34,80,80 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,80,80) = 2

common factors(in case of two or more numbers have common factors) = 80

GCF(34,80,80) x common factors =2 x 80 = 160

LCM(34,80,80) = ( 34 × 80 × 80 ) / 160

LCM(34,80,80) = 217600 / 160

LCM(34,80,80) = 1360


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 197/34, 714/80, 260/80

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 197/34, 714/80, 260/80?

Answer: GCF of Numerators as per given numbers 197/34, 714/80, 260/80 is

GCF of Numerators i.e. for 197,714,260 is 1

LCM of denominators i.e. for 34,80,80 is 1360.

Thus, GCF of Fractions is 1/1360.Finally, GCF of Fractions for 197/34, 714/80, 260/80 is 1/1360.