Greatest Common Factor of 41/84, 80/87, 65/12, 100/18

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 41/84, 80/87, 65/12, 100/18

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 41/84,80/87,65/12,100/18

Given fractions are 41/84,80/87,65/12,100/18

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 41,80,65,100

Greatest Common Factor of Numerators i.e. GCF of 41,80,65,100 is 1 .

LCM of Denominators means LCM of 84,87,12,18 as per the given fractions.

LCM of 84,87,12,18 is 7308 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 41,80,65,100

GCF of Fractions 41/84,80/87,65/12,100/18 is 1/7308

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

Greatest Common Factor of 41,80,65,100 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,80,65,100 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Greatest Common Factor

We found the factors 41,80,65,100 . The biggest common factor number is the GCF number.
So the greatest common factor 41,80,65,100 is 1.

Lets's calculate LCM of 84,87,12,18

2 84, 87, 12, 18
2 42, 87, 6, 9
3 21, 87, 3, 9
7, 29, 1, 3

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 29 x 1 x 3 = 7308

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7308

Therefore, the GCF of Fractions 41/84,80/87,65/12,100/18 is 1/7308

Least Common Multiple of 84,87,12,18 with GCF Formula

Least Common Multiple of 84,87,12,18 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 84,87,12,18 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,87,12,18) = 3

common factors(in case of two or more numbers have common factors) = 72

GCF(84,87,12,18) x common factors =3 x 72 = 216

LCM(84,87,12,18) = ( 84 × 87 × 12 × 18 ) / 216

LCM(84,87,12,18) = 1578528 / 216

LCM(84,87,12,18) = 7308


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 41/84, 80/87, 65/12, 100/18

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 41/84, 80/87, 65/12, 100/18?

Answer: GCF of Numerators as per given numbers 41/84, 80/87, 65/12, 100/18 is

GCF of Numerators i.e. for 41,80,65,100 is 1

LCM of denominators i.e. for 84,87,12,18 is 7308.

Thus, GCF of Fractions is 1/7308.Finally, GCF of Fractions for 41/84, 80/87, 65/12, 100/18 is 1/7308.