How to Find GCF of 4332/465, 2063/1841?

GCF of 4332/465, 2063/1841

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 4332/465, 2063/1841 i.e 1/856065 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4332/465, 2063/1841.

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 4332/465,2063/1841?

Given fractions are 4332/465,2063/1841

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 4332/465,2063/1841, numerators are 4332,2063

Denominators are 465,1841

The GCF of 4332,2063 is 1 .

LCM of 465,1841 is 856065.

The greatest common factor of 4332/465,2063/1841 = [GCF of 4332,2063]/[LCM of 465,1841]= 1/856065

Therefore, the GCF of 4332/465,2063/1841 is 1/856065.

Greatest Common Factor of 4332,2063

To find the highest common factor of 4332,2063, we have to find the factors of both numbers and list the highest common factor.

The factors of 4332 are 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 361, 722, 1083, 1444, 2166, 4332

The factors of 2063 are 1, 2063

The HCF of 4332,2063 is 1.

Lets's calculate GCF of 4332,2063

Greatest Common Factor (GCF) of 4332,2063 By Common Division

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

Greatest Common Factor of 4332,2063 By Matching Biggest Common Factor Method

Now, list down the factors of 4332

1,2,3,4,6,12,19,38,57,76,114,228,361,722,1083,1444,2166,4332

Now, list down the factors of 2063

1,2063

Greatest Common Factor

We found the factors 4332,2063 . The biggest common factor number is the GCF number.
So the greatest common factor 4332,2063 is 1.

Lets's calculate LCM of 465,1841

Lowest Common Multiple of 465,1841 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 856065

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/856065

Therefore, the GCF of Fractions 4332/465,2063/1841 is 1/856065

Least Common Multiple of 465,1841 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 465,1841 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(465,1841) = 1

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

GCF(465,1841) x common factors =1 x 1 = 1

LCM(465,1841) = ( 465 × 1841 ) / 1

LCM(465,1841) = 856065 / 1

LCM(465,1841) = 856065

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 4332/465, 2063/1841

1. What is the HCF of 4332,2063?

The HCF of 4332,2063 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 4332/465, 2063/1841?

Answer: GCF of Numerators as per given numbers 4332/465, 2063/1841 is

GCF of Numerators i.e. for 4332,2063 is 1

LCM of denominators i.e. for 465,1841 is 856065.

Thus, GCF of Fractions is 1/856065.Finally, GCF of Fractions for 4332/465, 2063/1841 is 1/856065.