GCD of 89, 12, 64, 53 Calculator

Given Input numbers are 89, 12, 64, 53

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 12

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

1, 2, 3, 4, 6, 12

Divisors of 64

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

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

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Greatest Common Divisior

We found the divisors of 89, 12, 64, 53 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 89, 12, 64, 53 is 1.

Therefore, GCD of numbers 89, 12, 64, 53 is 1

Given Input Data is 89, 12, 64, 53

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

Prime Factorization of 89 is 89

Prime Factorization of 12 is 2 x 2 x 3

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

Prime Factorization of 53 is 53

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, 12) = 1068

GCD(89, 12) = ( 89 x 12 ) / 1068

GCD(89, 12) = 1068 / 1068

GCD(89, 12) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 53

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

LCM(1, 53) = 53

GCD(1, 53) = ( 1 x 53 ) / 53

GCD(1, 53) = 53 / 53

GCD(1, 53) = 1

GCD of 89, 12, 64, 53 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 16, 96, 84, 63
• GCD of 85, 52, 92, 19
• GCD of 57, 26, 41, 98
• GCD of 89, 86, 40, 30
• GCD of 91, 41, 65, 49

1. What is the GCD of 89, 12, 64, 53?

GCD of 89, 12, 64, 53 is 1

2. Where do I get the detailed procedure to find GCD of 89, 12, 64, 53?

You can find a detailed procedure to find GCD of 89, 12, 64, 53 on our page.

3. How to find GCD of 89, 12, 64, 53 on a calculator?

You can find the GCD of 89, 12, 64, 53 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.