Greatest Common Factor of 17/467, 112/194, 304/500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 17/467, 112/194, 304/500

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 17/467,112/194,304/500

Given fractions are 17/467,112/194,304/500

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 17,112,304

Greatest Common Factor of Numerators i.e. GCF of 17,112,304 is 1 .

LCM of Denominators means LCM of 467,194,500 as per the given fractions.

LCM of 467,194,500 is 22649500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 17,112,304

GCF of Fractions 17/467,112/194,304/500 is 1/22649500

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

Greatest Common Factor of 17,112,304 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,112,304 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 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Greatest Common Factor

We found the factors 17,112,304 . The biggest common factor number is the GCF number.
So the greatest common factor 17,112,304 is 1.

Lets's calculate LCM of 467,194,500

2 467, 194, 500
467, 97, 250

∴ So the LCM of the given numbers is 2 x 467 x 97 x 250 = 22649500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22649500

Therefore, the GCF of Fractions 17/467,112/194,304/500 is 1/22649500

Least Common Multiple of 467,194,500 with GCF Formula

Least Common Multiple of 467,194,500 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 467,194,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(467,194,500) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(467,194,500) x common factors =1 x 2 = 2

LCM(467,194,500) = ( 467 × 194 × 500 ) / 2

LCM(467,194,500) = 45299000 / 2

LCM(467,194,500) = 22649500


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 17/467, 112/194, 304/500

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 17/467, 112/194, 304/500?

Answer: GCF of Numerators as per given numbers 17/467, 112/194, 304/500 is

GCF of Numerators i.e. for 17,112,304 is 1

LCM of denominators i.e. for 467,194,500 is 22649500.

Thus, GCF of Fractions is 1/22649500.Finally, GCF of Fractions for 17/467, 112/194, 304/500 is 1/22649500.