LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 18/672, 3083/2589

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 18/672, 3083/2589 i.e 1/579936 easily. The following is the detailed procedure to determine the greatest common factor of fractions 18/672, 3083/2589.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 18/672,3083/2589?

Given fractions are 18/672,3083/2589

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 18/672,3083/2589, numerators are 18,3083

Denominators are 672,2589

The GCF of 18,3083 is 1 .

LCM of 672,2589 is 579936.

The greatest common factor of 18/672,3083/2589 = [GCF of 18,3083]/[LCM of 672,2589]= 1/579936

Therefore, the GCF of 18/672,3083/2589 is 1/579936.

Greatest Common Factor of 18,3083

To find the highest common factor of 18,3083, we have to find the factors of both numbers and list the highest common factor.

The factors of 18 are 1, 2, 3, 6, 9, 18

The factors of 3083 are 1, 3083

The HCF of 18,3083 is 1.

Lets's calculate GCF of 18,3083

Greatest Common Factor (GCF) of 18,3083 By Common Division

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

Greatest Common Factor of 18,3083 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,3083 By Matching Biggest Common Factor Method

Now, list down the factors of 18

:

1,2,3,6,9,18

Now, list down the factors of 3083

:

1,3083

Greatest Common Factor

We found the factors 18,3083 . The biggest common factor number is the GCF number.
So the greatest common factor 18,3083 is 1.

Lets's calculate LCM of 672,2589

Lowest Common Multiple of 672,2589 using Common Division

3 672, 2589
224, 863

∴ So the LCM of the given numbers is 3 x 224 x 863 = 579936

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/579936

Therefore, the GCF of Fractions 18/672,3083/2589 is 1/579936

Least Common Multiple of 672,2589 with GCF Formula

Least Common Multiple of 672,2589 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 672,2589 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(672,2589) = 3

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

GCF(672,2589) x common factors =3 x 1 = 3

LCM(672,2589) = ( 672 × 2589 ) / 3

LCM(672,2589) = 1739808 / 3

LCM(672,2589) = 579936


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 18/672, 3083/2589

1. What is the HCF of 18,3083?

The HCF of 18,3083 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 18/672, 3083/2589?

Answer: GCF of Numerators as per given numbers 18/672, 3083/2589 is

GCF of Numerators i.e. for 18,3083 is 1

LCM of denominators i.e. for 672,2589 is 579936.

Thus, GCF of Fractions is 1/579936.Finally, GCF of Fractions for 18/672, 3083/2589 is 1/579936.