Greatest Common Factor of 17/30, 81/35, 291/918

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 17/30, 81/35, 291/918

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 17/30,81/35,291/918

Given fractions are 17/30,81/35,291/918

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 17,81,291

Greatest Common Factor of Numerators i.e. GCF of 17,81,291 is 1 .

LCM of Denominators means LCM of 30,35,918 as per the given fractions.

LCM of 30,35,918 is 32130 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 17,81,291

GCF of Fractions 17/30,81/35,291/918 is 1/32130

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

Greatest Common Factor of 17,81,291 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,81,291 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 81

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

1,3,9,27,81

Factors of 291

List of positive integer factors of 291 that divides 291 without a remainder.

1,3,97,291

Greatest Common Factor

We found the factors 17,81,291 . The biggest common factor number is the GCF number.
So the greatest common factor 17,81,291 is 1.

Lets's calculate LCM of 30,35,918

2 30, 35, 918
3 15, 35, 459
5 5, 35, 153
1, 7, 153

∴ So the LCM of the given numbers is 2 x 3 x 5 x 1 x 7 x 153 = 32130

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32130

Therefore, the GCF of Fractions 17/30,81/35,291/918 is 1/32130

Least Common Multiple of 30,35,918 with GCF Formula

Least Common Multiple of 30,35,918 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 30,35,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,35,918) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(30,35,918) x common factors =1 x 30 = 30

LCM(30,35,918) = ( 30 × 35 × 918 ) / 30

LCM(30,35,918) = 963900 / 30

LCM(30,35,918) = 32130


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 17/30, 81/35, 291/918

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 17/30, 81/35, 291/918?

Answer: GCF of Numerators as per given numbers 17/30, 81/35, 291/918 is

GCF of Numerators i.e. for 17,81,291 is 1

LCM of denominators i.e. for 30,35,918 is 32130.

Thus, GCF of Fractions is 1/32130.Finally, GCF of Fractions for 17/30, 81/35, 291/918 is 1/32130.