Greatest Common Factor of 3671/765, 1822/481

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3671/765, 1822/481

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 3671/765,1822/481

Given fractions are 3671/765,1822/481

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 3671,1822

Greatest Common Factor of Numerators i.e. GCF of 3671,1822 is 1 .

LCM of Denominators means LCM of 765,481 as per the given fractions.

LCM of 765,481 is 367965 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3671,1822

GCF of Fractions 3671/765,1822/481 is 1/367965

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

Greatest Common Factor of 3671,1822 By Matching Biggest Common Factor Method

Greatest Common Factor of 3671,1822 By Matching Biggest Common Factor Method

Factors of 3671

List of positive integer factors of 3671 that divides 3671 without a remainder.

1,3671

Factors of 1822

List of positive integer factors of 1822 that divides 1822 without a remainder.

1,2,911,1822

Greatest Common Factor

We found the factors 3671,1822 . The biggest common factor number is the GCF number.
So the greatest common factor 3671,1822 is 1.

Lets's calculate LCM of 765,481

Given numbers has no common factors except 1. So, there LCM is their product i.e 367965

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/367965

Therefore, the GCF of Fractions 3671/765,1822/481 is 1/367965

Least Common Multiple of 765,481 with GCF Formula

Least Common Multiple of 765,481 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 765,481 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(765,481) = 1

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

GCF(765,481) x common factors =1 x 1 = 1

LCM(765,481) = ( 765 × 481 ) / 1

LCM(765,481) = 367965 / 1

LCM(765,481) = 367965


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 3671/765, 1822/481

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 3671/765, 1822/481?

Answer: GCF of Numerators as per given numbers 3671/765, 1822/481 is

GCF of Numerators i.e. for 3671,1822 is 1

LCM of denominators i.e. for 765,481 is 367965.

Thus, GCF of Fractions is 1/367965.Finally, GCF of Fractions for 3671/765, 1822/481 is 1/367965.