Greatest Common Factor of 997/54, 329/6033

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 997/54, 329/6033

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 997/54,329/6033

Given fractions are 997/54,329/6033

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 997,329

Greatest Common Factor of Numerators i.e. GCF of 997,329 is 1 .

LCM of Denominators means LCM of 54,6033 as per the given fractions.

LCM of 54,6033 is 108594 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 997,329

GCF of Fractions 997/54,329/6033 is 1/108594

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

Greatest Common Factor of 997,329 By Matching Biggest Common Factor Method

Greatest Common Factor of 997,329 By Matching Biggest Common Factor Method

Factors of 997

List of positive integer factors of 997 that divides 997 without a remainder.

1,997

Factors of 329

List of positive integer factors of 329 that divides 329 without a remainder.

1,7,47,329

Greatest Common Factor

We found the factors 997,329 . The biggest common factor number is the GCF number.
So the greatest common factor 997,329 is 1.


Lets's calculate LCM of 54,6033

3 54, 6033
18, 2011

∴ So the LCM of the given numbers is 3 x 18 x 2011 = 108594

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/108594

Therefore, the GCF of Fractions 997/54,329/6033 is 1/108594

Least Common Multiple of 54,6033 with GCF Formula

Least Common Multiple of 54,6033 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 54,6033 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,6033) = 3

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

GCF(54,6033) x common factors =3 x 1 = 3

LCM(54,6033) = ( 54 × 6033 ) / 3

LCM(54,6033) = 325782 / 3

LCM(54,6033) = 108594


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 997/54, 329/6033

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 997/54, 329/6033?

Answer: GCF of Numerators as per given numbers 997/54, 329/6033 is

GCF of Numerators i.e. for 997,329 is 1

LCM of denominators i.e. for 54,6033 is 108594.

Thus, GCF of Fractions is 1/108594.Finally, GCF of Fractions for 997/54, 329/6033 is 1/108594.