GCD of 89, 31, 76, 64 Calculator

Given Input numbers are 89, 31, 76, 64

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

Divisors of 89

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

1, 89

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Greatest Common Divisior

We found the divisors of 89, 31, 76, 64 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 89, 31, 76, 64 is 1.

Therefore, GCD of numbers 89, 31, 76, 64 is 1

Given Input Data is 89, 31, 76, 64

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

Prime Factorization of 89 is 89

Prime Factorization of 31 is 31

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

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(89, 31) = 2759

GCD(89, 31) = ( 89 x 31 ) / 2759

GCD(89, 31) = 2759 / 2759

GCD(89, 31) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 76

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

LCM(1, 76) = 76

GCD(1, 76) = ( 1 x 76 ) / 76

GCD(1, 76) = 76 / 76

GCD(1, 76) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 64

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

LCM(1, 64) = 64

GCD(1, 64) = ( 1 x 64 ) / 64

GCD(1, 64) = 64 / 64

GCD(1, 64) = 1

GCD of 89, 31, 76, 64 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 83, 36, 19, 73
• GCD of 31, 50, 39, 25
• GCD of 35, 83, 41, 57
• GCD of 50, 27, 18, 49
• GCD of 17, 88, 25, 38

1. What is the GCD of 89, 31, 76, 64?

GCD of 89, 31, 76, 64 is 1

2. Where do I get the detailed procedure to find GCD of 89, 31, 76, 64?

You can find a detailed procedure to find GCD of 89, 31, 76, 64 on our page.

3. How to find GCD of 89, 31, 76, 64 on a calculator?

You can find the GCD of 89, 31, 76, 64 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.