Greatest Common Factor of 17/43, 32/93, 604/115

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 17/43, 32/93, 604/115

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 17/43,32/93,604/115

Given fractions are 17/43,32/93,604/115

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 17,32,604

Greatest Common Factor of Numerators i.e. GCF of 17,32,604 is 1 .

LCM of Denominators means LCM of 43,93,115 as per the given fractions.

LCM of 43,93,115 is 459885 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 17,32,604

GCF of Fractions 17/43,32/93,604/115 is 1/459885

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

Greatest Common Factor of 17,32,604 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,32,604 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 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 604

List of positive integer factors of 604 that divides 604 without a remainder.

1,2,4,151,302,604

Greatest Common Factor

We found the factors 17,32,604 . The biggest common factor number is the GCF number.
So the greatest common factor 17,32,604 is 1.

Lets's calculate LCM of 43,93,115

Given numbers has no common factors except 1. So, there LCM is their product i.e 459885

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/459885

Therefore, the GCF of Fractions 17/43,32/93,604/115 is 1/459885

Least Common Multiple of 43,93,115 with GCF Formula

Least Common Multiple of 43,93,115 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 43,93,115 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,93,115) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(43,93,115) x common factors =1 x 1 = 1

LCM(43,93,115) = ( 43 × 93 × 115 ) / 1

LCM(43,93,115) = 459885 / 1

LCM(43,93,115) = 459885


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 17/43, 32/93, 604/115

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 17/43, 32/93, 604/115?

Answer: GCF of Numerators as per given numbers 17/43, 32/93, 604/115 is

GCF of Numerators i.e. for 17,32,604 is 1

LCM of denominators i.e. for 43,93,115 is 459885.

Thus, GCF of Fractions is 1/459885.Finally, GCF of Fractions for 17/43, 32/93, 604/115 is 1/459885.