GCD of 80, 75, 15, 66 Calculator

Given Input numbers are 80, 75, 15, 66

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 80

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

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

Divisors of 75

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

1, 3, 5, 15, 25, 75

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Greatest Common Divisior

We found the divisors of 80, 75, 15, 66 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 80, 75, 15, 66 is 1.

Therefore, GCD of numbers 80, 75, 15, 66 is 1

Given Input Data is 80, 75, 15, 66

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 15 is 3 x 5

Prime Factorization of 66 is 2 x 3 x 11

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(80, 75) = 1200

GCD(80, 75) = ( 80 x 75 ) / 1200

GCD(80, 75) = 6000 / 1200

GCD(80, 75) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 15

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(5, 15) = 15

GCD(5, 15) = ( 5 x 15 ) / 15

GCD(5, 15) = 75 / 15

GCD(5, 15) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 66

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(5, 66) = 330

GCD(5, 66) = ( 5 x 66 ) / 330

GCD(5, 66) = 330 / 330

GCD(5, 66) = 1

GCD of 80, 75, 15, 66 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 89, 29, 53, 47
• GCD of 70, 93, 51, 79
• GCD of 12, 46, 84, 59
• GCD of 77, 18, 66, 42
• GCD of 14, 85, 41, 13

1. What is the GCD of 80, 75, 15, 66?

GCD of 80, 75, 15, 66 is 1

2. Where do I get the detailed procedure to find GCD of 80, 75, 15, 66?

You can find a detailed procedure to find GCD of 80, 75, 15, 66 on our page.

3. How to find GCD of 80, 75, 15, 66 on a calculator?

You can find the GCD of 80, 75, 15, 66 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.