Greatest Common Factor of 65/90, 14/10, 75/50, 12/817

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 65/90, 14/10, 75/50, 12/817

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 65/90,14/10,75/50,12/817

Given fractions are 65/90,14/10,75/50,12/817

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 65,14,75,12

Greatest Common Factor of Numerators i.e. GCF of 65,14,75,12 is 1 .

LCM of Denominators means LCM of 90,10,50,817 as per the given fractions.

LCM of 90,10,50,817 is 367650 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 65,14,75,12

GCF of Fractions 65/90,14/10,75/50,12/817 is 1/367650

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

Greatest Common Factor of 65,14,75,12 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,14,75,12 By Matching Biggest Common Factor Method

Factors of 65

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

1,5,13,65

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Greatest Common Factor

We found the factors 65,14,75,12 . The biggest common factor number is the GCF number.
So the greatest common factor 65,14,75,12 is 1.

Lets's calculate LCM of 90,10,50,817

2 90, 10, 50, 817
5 45, 5, 25, 817
9, 1, 5, 817

∴ So the LCM of the given numbers is 2 x 5 x 9 x 1 x 5 x 817 = 367650

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/367650

Therefore, the GCF of Fractions 65/90,14/10,75/50,12/817 is 1/367650

Least Common Multiple of 90,10,50,817 with GCF Formula

Least Common Multiple of 90,10,50,817 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 90,10,50,817 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,10,50,817) = 1

common factors(in case of two or more numbers have common factors) = 100

GCF(90,10,50,817) x common factors =1 x 100 = 100

LCM(90,10,50,817) = ( 90 × 10 × 50 × 817 ) / 100

LCM(90,10,50,817) = 36765000 / 100

LCM(90,10,50,817) = 367650


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 65/90, 14/10, 75/50, 12/817

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 65/90, 14/10, 75/50, 12/817?

Answer: GCF of Numerators as per given numbers 65/90, 14/10, 75/50, 12/817 is

GCF of Numerators i.e. for 65,14,75,12 is 1

LCM of denominators i.e. for 90,10,50,817 is 367650.

Thus, GCF of Fractions is 1/367650.Finally, GCF of Fractions for 65/90, 14/10, 75/50, 12/817 is 1/367650.