How to Find GCF of 2003/368, 9067/4891?

GCF of 2003/368, 9067/4891

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 2003/368, 9067/4891 i.e 1/1799888 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2003/368, 9067/4891.

Enter two or more fractions separated by "commas"

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

What is the GCF of 2003/368,9067/4891?

Given fractions are 2003/368,9067/4891

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 2003/368,9067/4891, numerators are 2003,9067

Denominators are 368,4891

The GCF of 2003,9067 is 1 .

LCM of 368,4891 is 1799888.

The greatest common factor of 2003/368,9067/4891 = [GCF of 2003,9067]/[LCM of 368,4891]= 1/1799888

Therefore, the GCF of 2003/368,9067/4891 is 1/1799888.

Greatest Common Factor of 2003,9067

To find the highest common factor of 2003,9067, we have to find the factors of both numbers and list the highest common factor.

The factors of 2003 are 1, 2003

The factors of 9067 are 1, 9067

The HCF of 2003,9067 is 1.

Lets's calculate GCF of 2003,9067

Greatest Common Factor (GCF) of 2003,9067 By Common Division

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

Greatest Common Factor of 2003,9067 By Matching Biggest Common Factor Method

Now, list down the factors of 2003

1,2003

Now, list down the factors of 9067

1,9067

Greatest Common Factor

We found the factors 2003,9067 . The biggest common factor number is the GCF number.
So the greatest common factor 2003,9067 is 1.

Lets's calculate LCM of 368,4891

Lowest Common Multiple of 368,4891 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1799888

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1799888

Therefore, the GCF of Fractions 2003/368,9067/4891 is 1/1799888

Least Common Multiple of 368,4891 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 368,4891 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(368,4891) = 1

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

GCF(368,4891) x common factors =1 x 1 = 1

LCM(368,4891) = ( 368 × 4891 ) / 1

LCM(368,4891) = 1799888 / 1

LCM(368,4891) = 1799888

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 2003/368, 9067/4891

1. What is the HCF of 2003,9067?

The HCF of 2003,9067 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 2003/368, 9067/4891?

Answer: GCF of Numerators as per given numbers 2003/368, 9067/4891 is

GCF of Numerators i.e. for 2003,9067 is 1

LCM of denominators i.e. for 368,4891 is 1799888.

Thus, GCF of Fractions is 1/1799888.Finally, GCF of Fractions for 2003/368, 9067/4891 is 1/1799888.