Greatest Common Factor of 1498/594, 9533/9666

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1498/594, 9533/9666

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 1498/594,9533/9666

Given fractions are 1498/594,9533/9666

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 1498,9533

Greatest Common Factor of Numerators i.e. GCF of 1498,9533 is 1 .

LCM of Denominators means LCM of 594,9666 as per the given fractions.

LCM of 594,9666 is 106326 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1498,9533

GCF of Fractions 1498/594,9533/9666 is 1/106326

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

Greatest Common Factor of 1498,9533 By Matching Biggest Common Factor Method

Greatest Common Factor of 1498,9533 By Matching Biggest Common Factor Method

Factors of 1498

List of positive integer factors of 1498 that divides 1498 without a remainder.

1,2,7,14,107,214,749,1498

Factors of 9533

List of positive integer factors of 9533 that divides 9533 without a remainder.

1,9533

Greatest Common Factor

We found the factors 1498,9533 . The biggest common factor number is the GCF number.
So the greatest common factor 1498,9533 is 1.

Lets's calculate LCM of 594,9666

2 594, 9666
3 297, 4833
3 99, 1611
3 33, 537
11, 179

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 11 x 179 = 106326

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/106326

Therefore, the GCF of Fractions 1498/594,9533/9666 is 1/106326

Least Common Multiple of 594,9666 with GCF Formula

Least Common Multiple of 594,9666 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 594,9666 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(594,9666) = 54

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

GCF(594,9666) x common factors =54 x 1 = 54

LCM(594,9666) = ( 594 × 9666 ) / 54

LCM(594,9666) = 5741604 / 54

LCM(594,9666) = 106326


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 1498/594, 9533/9666

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 1498/594, 9533/9666?

Answer: GCF of Numerators as per given numbers 1498/594, 9533/9666 is

GCF of Numerators i.e. for 1498,9533 is 1

LCM of denominators i.e. for 594,9666 is 106326.

Thus, GCF of Fractions is 1/106326.Finally, GCF of Fractions for 1498/594, 9533/9666 is 1/106326.