Greatest Common Factor of 871/27, 709/29, 401/37

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 871/27, 709/29, 401/37

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 871/27,709/29,401/37

Given fractions are 871/27,709/29,401/37

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 871,709,401

Greatest Common Factor of Numerators i.e. GCF of 871,709,401 is 1 .

LCM of Denominators means LCM of 27,29,37 as per the given fractions.

LCM of 27,29,37 is 28971 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 871,709,401

GCF of Fractions 871/27,709/29,401/37 is 1/28971

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

Greatest Common Factor of 871,709,401 By Matching Biggest Common Factor Method

Greatest Common Factor of 871,709,401 By Matching Biggest Common Factor Method

Factors of 871

List of positive integer factors of 871 that divides 871 without a remainder.

1,13,67,871

Factors of 709

List of positive integer factors of 709 that divides 709 without a remainder.

1,709

Factors of 401

List of positive integer factors of 401 that divides 401 without a remainder.

1,401

Greatest Common Factor

We found the factors 871,709,401 . The biggest common factor number is the GCF number.
So the greatest common factor 871,709,401 is 1.

Lets's calculate LCM of 27,29,37

Given numbers has no common factors except 1. So, there LCM is their product i.e 28971

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28971

Therefore, the GCF of Fractions 871/27,709/29,401/37 is 1/28971

Least Common Multiple of 27,29,37 with GCF Formula

Least Common Multiple of 27,29,37 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 27,29,37 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,29,37) = 1

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

GCF(27,29,37) x common factors =1 x 1 = 1

LCM(27,29,37) = ( 27 × 29 × 37 ) / 1

LCM(27,29,37) = 28971 / 1

LCM(27,29,37) = 28971


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 871/27, 709/29, 401/37

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 871/27, 709/29, 401/37?

Answer: GCF of Numerators as per given numbers 871/27, 709/29, 401/37 is

GCF of Numerators i.e. for 871,709,401 is 1

LCM of denominators i.e. for 27,29,37 is 28971.

Thus, GCF of Fractions is 1/28971.Finally, GCF of Fractions for 871/27, 709/29, 401/37 is 1/28971.