GCD of 80, 89, 52, 51 Calculator

Given Input numbers are 80, 89, 52, 51

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 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Greatest Common Divisior

We found the divisors of 80, 89, 52, 51 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 80, 89, 52, 51 is 1.

Therefore, GCD of numbers 80, 89, 52, 51 is 1

Given Input Data is 80, 89, 52, 51

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 89 is 89

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 51 is 3 x 17

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, 89) = 7120

GCD(80, 89) = ( 80 x 89 ) / 7120

GCD(80, 89) = 7120 / 7120

GCD(80, 89) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 52

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

LCM(1, 52) = 52

GCD(1, 52) = ( 1 x 52 ) / 52

GCD(1, 52) = 52 / 52

GCD(1, 52) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 51

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

LCM(1, 51) = 51

GCD(1, 51) = ( 1 x 51 ) / 51

GCD(1, 51) = 51 / 51

GCD(1, 51) = 1

GCD of 80, 89, 52, 51 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 45, 32, 86, 47
• GCD of 70, 86, 93, 67
• GCD of 40, 96, 51, 66
• GCD of 57, 30, 21, 31
• GCD of 24, 74, 97, 81

1. What is the GCD of 80, 89, 52, 51?

GCD of 80, 89, 52, 51 is 1

2. Where do I get the detailed procedure to find GCD of 80, 89, 52, 51?

You can find a detailed procedure to find GCD of 80, 89, 52, 51 on our page.

3. How to find GCD of 80, 89, 52, 51 on a calculator?

You can find the GCD of 80, 89, 52, 51 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.