Greatest Common Factor of 37/84, 82/39, 362/871

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 37/84, 82/39, 362/871

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 37/84,82/39,362/871

Given fractions are 37/84,82/39,362/871

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 37,82,362

Greatest Common Factor of Numerators i.e. GCF of 37,82,362 is 1 .

LCM of Denominators means LCM of 84,39,871 as per the given fractions.

LCM of 84,39,871 is 73164 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 37,82,362

GCF of Fractions 37/84,82/39,362/871 is 1/73164

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

Greatest Common Factor of 37,82,362 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,82,362 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 362

List of positive integer factors of 362 that divides 362 without a remainder.

1,2,181,362

Greatest Common Factor

We found the factors 37,82,362 . The biggest common factor number is the GCF number.
So the greatest common factor 37,82,362 is 1.

Lets's calculate LCM of 84,39,871

3 84, 39, 871
13 28, 13, 871
28, 1, 67

∴ So the LCM of the given numbers is 3 x 13 x 28 x 1 x 67 = 73164

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/73164

Therefore, the GCF of Fractions 37/84,82/39,362/871 is 1/73164

Least Common Multiple of 84,39,871 with GCF Formula

Least Common Multiple of 84,39,871 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 84,39,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,39,871) = 1

common factors(in case of two or more numbers have common factors) = 39

GCF(84,39,871) x common factors =1 x 39 = 39

LCM(84,39,871) = ( 84 × 39 × 871 ) / 39

LCM(84,39,871) = 2853396 / 39

LCM(84,39,871) = 73164


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 37/84, 82/39, 362/871

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 37/84, 82/39, 362/871?

Answer: GCF of Numerators as per given numbers 37/84, 82/39, 362/871 is

GCF of Numerators i.e. for 37,82,362 is 1

LCM of denominators i.e. for 84,39,871 is 73164.

Thus, GCF of Fractions is 1/73164.Finally, GCF of Fractions for 37/84, 82/39, 362/871 is 1/73164.