Greatest Common Factor of 3871/575, 2214/721

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3871/575, 2214/721

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 3871/575,2214/721

Given fractions are 3871/575,2214/721

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 3871,2214

Greatest Common Factor of Numerators i.e. GCF of 3871,2214 is 1 .

LCM of Denominators means LCM of 575,721 as per the given fractions.

LCM of 575,721 is 414575 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3871,2214

GCF of Fractions 3871/575,2214/721 is 1/414575

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

Greatest Common Factor of 3871,2214 By Matching Biggest Common Factor Method

Greatest Common Factor of 3871,2214 By Matching Biggest Common Factor Method

Factors of 3871

List of positive integer factors of 3871 that divides 3871 without a remainder.

1,7,49,79,553,3871

Factors of 2214

List of positive integer factors of 2214 that divides 2214 without a remainder.

1,2,3,6,9,18,27,41,54,82,123,246,369,738,1107,2214

Greatest Common Factor

We found the factors 3871,2214 . The biggest common factor number is the GCF number.
So the greatest common factor 3871,2214 is 1.

Lets's calculate LCM of 575,721

Given numbers has no common factors except 1. So, there LCM is their product i.e 414575

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/414575

Therefore, the GCF of Fractions 3871/575,2214/721 is 1/414575

Least Common Multiple of 575,721 with GCF Formula

Least Common Multiple of 575,721 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 575,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(575,721) = 1

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

GCF(575,721) x common factors =1 x 1 = 1

LCM(575,721) = ( 575 × 721 ) / 1

LCM(575,721) = 414575 / 1

LCM(575,721) = 414575


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 3871/575, 2214/721

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 3871/575, 2214/721?

Answer: GCF of Numerators as per given numbers 3871/575, 2214/721 is

GCF of Numerators i.e. for 3871,2214 is 1

LCM of denominators i.e. for 575,721 is 414575.

Thus, GCF of Fractions is 1/414575.Finally, GCF of Fractions for 3871/575, 2214/721 is 1/414575.