How to Find GCF of 2031/521, 3272/669?

GCF of 2031/521, 3272/669

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 2031/521, 3272/669 i.e 1/348549 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2031/521, 3272/669.

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 2031/521,3272/669?

Given fractions are 2031/521,3272/669

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 2031/521,3272/669, numerators are 2031,3272

Denominators are 521,669

The GCF of 2031,3272 is 1 .

LCM of 521,669 is 348549.

The greatest common factor of 2031/521,3272/669 = [GCF of 2031,3272]/[LCM of 521,669]= 1/348549

Therefore, the GCF of 2031/521,3272/669 is 1/348549.

Greatest Common Factor of 2031,3272

To find the highest common factor of 2031,3272, we have to find the factors of both numbers and list the highest common factor.

The factors of 2031 are 1, 3, 677, 2031

The factors of 3272 are 1, 2, 4, 8, 409, 818, 1636, 3272

The HCF of 2031,3272 is 1.

Lets's calculate GCF of 2031,3272

Greatest Common Factor (GCF) of 2031,3272 By Common Division

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

Greatest Common Factor of 2031,3272 By Matching Biggest Common Factor Method

Now, list down the factors of 2031

1,3,677,2031

Now, list down the factors of 3272

1,2,4,8,409,818,1636,3272

Greatest Common Factor

We found the factors 2031,3272 . The biggest common factor number is the GCF number.
So the greatest common factor 2031,3272 is 1.

Lets's calculate LCM of 521,669

Lowest Common Multiple of 521,669 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 348549

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/348549

Therefore, the GCF of Fractions 2031/521,3272/669 is 1/348549

Least Common Multiple of 521,669 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 521,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(521,669) = 1

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

GCF(521,669) x common factors =1 x 1 = 1

LCM(521,669) = ( 521 × 669 ) / 1

LCM(521,669) = 348549 / 1

LCM(521,669) = 348549

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 2031/521, 3272/669

1. What is the HCF of 2031,3272?

The HCF of 2031,3272 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 2031/521, 3272/669?

Answer: GCF of Numerators as per given numbers 2031/521, 3272/669 is

GCF of Numerators i.e. for 2031,3272 is 1

LCM of denominators i.e. for 521,669 is 348549.

Thus, GCF of Fractions is 1/348549.Finally, GCF of Fractions for 2031/521, 3272/669 is 1/348549.