Greatest Common Factor of 483/17, 313/89, 694/34

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 483/17, 313/89, 694/34

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 483/17,313/89,694/34

Given fractions are 483/17,313/89,694/34

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 483,313,694

Greatest Common Factor of Numerators i.e. GCF of 483,313,694 is 1 .

LCM of Denominators means LCM of 17,89,34 as per the given fractions.

LCM of 17,89,34 is 3026 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 483,313,694

GCF of Fractions 483/17,313/89,694/34 is 1/3026

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

Greatest Common Factor of 483,313,694 By Matching Biggest Common Factor Method

Greatest Common Factor of 483,313,694 By Matching Biggest Common Factor Method

Factors of 483

List of positive integer factors of 483 that divides 483 without a remainder.

1,3,7,21,23,69,161,483

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Greatest Common Factor

We found the factors 483,313,694 . The biggest common factor number is the GCF number.
So the greatest common factor 483,313,694 is 1.

Lets's calculate LCM of 17,89,34

17 17, 89, 34
1, 89, 2

∴ So the LCM of the given numbers is 17 x 1 x 89 x 2 = 3026

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3026

Therefore, the GCF of Fractions 483/17,313/89,694/34 is 1/3026

Least Common Multiple of 17,89,34 with GCF Formula

Least Common Multiple of 17,89,34 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 17,89,34 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,89,34) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(17,89,34) x common factors =1 x 17 = 17

LCM(17,89,34) = ( 17 × 89 × 34 ) / 17

LCM(17,89,34) = 51442 / 17

LCM(17,89,34) = 3026


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 483/17, 313/89, 694/34

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 483/17, 313/89, 694/34?

Answer: GCF of Numerators as per given numbers 483/17, 313/89, 694/34 is

GCF of Numerators i.e. for 483,313,694 is 1

LCM of denominators i.e. for 17,89,34 is 3026.

Thus, GCF of Fractions is 1/3026.Finally, GCF of Fractions for 483/17, 313/89, 694/34 is 1/3026.