Greatest Common Factor of 17/39, 232/32, 394/945

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 17/39, 232/32, 394/945

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 17/39,232/32,394/945

Given fractions are 17/39,232/32,394/945

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 17,232,394

Greatest Common Factor of Numerators i.e. GCF of 17,232,394 is 1 .

LCM of Denominators means LCM of 39,32,945 as per the given fractions.

LCM of 39,32,945 is 393120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 17,232,394

GCF of Fractions 17/39,232/32,394/945 is 1/393120

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

Greatest Common Factor of 17,232,394 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,232,394 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 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

Factors of 394

List of positive integer factors of 394 that divides 394 without a remainder.

1,2,197,394

Greatest Common Factor

We found the factors 17,232,394 . The biggest common factor number is the GCF number.
So the greatest common factor 17,232,394 is 1.

Lets's calculate LCM of 39,32,945

3 39, 32, 945
13, 32, 315

∴ So the LCM of the given numbers is 3 x 13 x 32 x 315 = 393120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/393120

Therefore, the GCF of Fractions 17/39,232/32,394/945 is 1/393120

Least Common Multiple of 39,32,945 with GCF Formula

Least Common Multiple of 39,32,945 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 39,32,945 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,32,945) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(39,32,945) x common factors =1 x 3 = 3

LCM(39,32,945) = ( 39 × 32 × 945 ) / 3

LCM(39,32,945) = 1179360 / 3

LCM(39,32,945) = 393120


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 17/39, 232/32, 394/945

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 17/39, 232/32, 394/945?

Answer: GCF of Numerators as per given numbers 17/39, 232/32, 394/945 is

GCF of Numerators i.e. for 17,232,394 is 1

LCM of denominators i.e. for 39,32,945 is 393120.

Thus, GCF of Fractions is 1/393120.Finally, GCF of Fractions for 17/39, 232/32, 394/945 is 1/393120.