Greatest Common Factor of 11/17, 89/68, 289/531

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 11/17, 89/68, 289/531

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 11/17,89/68,289/531

Given fractions are 11/17,89/68,289/531

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 11,89,289

Greatest Common Factor of Numerators i.e. GCF of 11,89,289 is 1 .

LCM of Denominators means LCM of 17,68,531 as per the given fractions.

LCM of 17,68,531 is 36108 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 11,89,289

GCF of Fractions 11/17,89/68,289/531 is 1/36108

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

Greatest Common Factor of 11,89,289 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,89,289 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Greatest Common Factor

We found the factors 11,89,289 . The biggest common factor number is the GCF number.
So the greatest common factor 11,89,289 is 1.

Lets's calculate LCM of 17,68,531

17 17, 68, 531
1, 4, 531

∴ So the LCM of the given numbers is 17 x 1 x 4 x 531 = 36108

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36108

Therefore, the GCF of Fractions 11/17,89/68,289/531 is 1/36108

Least Common Multiple of 17,68,531 with GCF Formula

Least Common Multiple of 17,68,531 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 17,68,531 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,68,531) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(17,68,531) x common factors =1 x 17 = 17

LCM(17,68,531) = ( 17 × 68 × 531 ) / 17

LCM(17,68,531) = 613836 / 17

LCM(17,68,531) = 36108


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 11/17, 89/68, 289/531

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 11/17, 89/68, 289/531?

Answer: GCF of Numerators as per given numbers 11/17, 89/68, 289/531 is

GCF of Numerators i.e. for 11,89,289 is 1

LCM of denominators i.e. for 17,68,531 is 36108.

Thus, GCF of Fractions is 1/36108.Finally, GCF of Fractions for 11/17, 89/68, 289/531 is 1/36108.