GCD of 25, 64, 15, 89 Calculator

Given Input numbers are 25, 64, 15, 89

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

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

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 15

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

1, 3, 5, 15

Divisors of 89

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

1, 89

Greatest Common Divisior

We found the divisors of 25, 64, 15, 89 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 25, 64, 15, 89 is 1.

Therefore, GCD of numbers 25, 64, 15, 89 is 1

Given Input Data is 25, 64, 15, 89

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

Prime Factorization of 25 is 5 x 5

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

Prime Factorization of 15 is 3 x 5

Prime Factorization of 89 is 89

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(25, 64) = 1600

GCD(25, 64) = ( 25 x 64 ) / 1600

GCD(25, 64) = 1600 / 1600

GCD(25, 64) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 15

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

LCM(1, 15) = 15

GCD(1, 15) = ( 1 x 15 ) / 15

GCD(1, 15) = 15 / 15

GCD(1, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 89

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

LCM(1, 89) = 89

GCD(1, 89) = ( 1 x 89 ) / 89

GCD(1, 89) = 89 / 89

GCD(1, 89) = 1

GCD of 25, 64, 15, 89 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 38, 33, 38, 87
• GCD of 96, 49, 79, 96
• GCD of 18, 62, 45, 29
• GCD of 90, 91, 10, 84
• GCD of 96, 11, 99, 60

1. What is the GCD of 25, 64, 15, 89?

GCD of 25, 64, 15, 89 is 1

2. Where do I get the detailed procedure to find GCD of 25, 64, 15, 89?

You can find a detailed procedure to find GCD of 25, 64, 15, 89 on our page.

3. How to find GCD of 25, 64, 15, 89 on a calculator?

You can find the GCD of 25, 64, 15, 89 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.