Greatest Common Factor of 3771/849, 5861/3684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3771/849, 5861/3684

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 3771/849,5861/3684

Given fractions are 3771/849,5861/3684

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 3771,5861

Greatest Common Factor of Numerators i.e. GCF of 3771,5861 is 1 .

LCM of Denominators means LCM of 849,3684 as per the given fractions.

LCM of 849,3684 is 1042572 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3771,5861

GCF of Fractions 3771/849,5861/3684 is 1/1042572

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

Greatest Common Factor of 3771,5861 By Matching Biggest Common Factor Method

Greatest Common Factor of 3771,5861 By Matching Biggest Common Factor Method

Factors of 3771

List of positive integer factors of 3771 that divides 3771 without a remainder.

1,3,9,419,1257,3771

Factors of 5861

List of positive integer factors of 5861 that divides 5861 without a remainder.

1,5861

Greatest Common Factor

We found the factors 3771,5861 . The biggest common factor number is the GCF number.
So the greatest common factor 3771,5861 is 1.

Lets's calculate LCM of 849,3684

3 849, 3684
283, 1228

∴ So the LCM of the given numbers is 3 x 283 x 1228 = 1042572

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1042572

Therefore, the GCF of Fractions 3771/849,5861/3684 is 1/1042572

Least Common Multiple of 849,3684 with GCF Formula

Least Common Multiple of 849,3684 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 849,3684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(849,3684) = 3

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

GCF(849,3684) x common factors =3 x 1 = 3

LCM(849,3684) = ( 849 × 3684 ) / 3

LCM(849,3684) = 3127716 / 3

LCM(849,3684) = 1042572


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 3771/849, 5861/3684

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 3771/849, 5861/3684?

Answer: GCF of Numerators as per given numbers 3771/849, 5861/3684 is

GCF of Numerators i.e. for 3771,5861 is 1

LCM of denominators i.e. for 849,3684 is 1042572.

Thus, GCF of Fractions is 1/1042572.Finally, GCF of Fractions for 3771/849, 5861/3684 is 1/1042572.