Greatest Common Factor of 17/30, 53/24, 187/290

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 17/30, 53/24, 187/290

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 17/30,53/24,187/290

Given fractions are 17/30,53/24,187/290

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 17,53,187

Greatest Common Factor of Numerators i.e. GCF of 17,53,187 is 1 .

LCM of Denominators means LCM of 30,24,290 as per the given fractions.

LCM of 30,24,290 is 3480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 17,53,187

GCF of Fractions 17/30,53/24,187/290 is 1/3480

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

Greatest Common Factor of 17,53,187 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,53,187 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 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 187

List of positive integer factors of 187 that divides 187 without a remainder.

1,11,17,187

Greatest Common Factor

We found the factors 17,53,187 . The biggest common factor number is the GCF number.
So the greatest common factor 17,53,187 is 1.

Lets's calculate LCM of 30,24,290

2 30, 24, 290
3 15, 12, 145
5 5, 4, 145
1, 4, 29

∴ So the LCM of the given numbers is 2 x 3 x 5 x 1 x 4 x 29 = 3480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3480

Therefore, the GCF of Fractions 17/30,53/24,187/290 is 1/3480

Least Common Multiple of 30,24,290 with GCF Formula

Least Common Multiple of 30,24,290 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 30,24,290 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,24,290) = 2

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

GCF(30,24,290) x common factors =2 x 30 = 60

LCM(30,24,290) = ( 30 × 24 × 290 ) / 60

LCM(30,24,290) = 208800 / 60

LCM(30,24,290) = 3480


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 17/30, 53/24, 187/290

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, 53/24, 187/290?

Answer: GCF of Numerators as per given numbers 17/30, 53/24, 187/290 is

GCF of Numerators i.e. for 17,53,187 is 1

LCM of denominators i.e. for 30,24,290 is 3480.

Thus, GCF of Fractions is 1/3480.Finally, GCF of Fractions for 17/30, 53/24, 187/290 is 1/3480.