GCD of 15, 64, 45, 10 Calculator

Given Input numbers are 15, 64, 45, 10

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

Divisors of 15

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

1, 3, 5, 15

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 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Greatest Common Divisior

We found the divisors of 15, 64, 45, 10 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 64, 45, 10 is 1.

Therefore, GCD of numbers 15, 64, 45, 10 is 1

Given Input Data is 15, 64, 45, 10

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

Prime Factorization of 15 is 3 x 5

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

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 10 is 2 x 5

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(15, 64) = 960

GCD(15, 64) = ( 15 x 64 ) / 960

GCD(15, 64) = 960 / 960

GCD(15, 64) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 10

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

LCM(1, 10) = 10

GCD(1, 10) = ( 1 x 10 ) / 10

GCD(1, 10) = 10 / 10

GCD(1, 10) = 1

GCD of 15, 64, 45, 10 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 36, 60, 85, 78
• GCD of 62, 92, 41, 20
• GCD of 33, 43, 94, 37
• GCD of 10, 99, 83, 53
• GCD of 75, 55, 85, 97

1. What is the GCD of 15, 64, 45, 10?

GCD of 15, 64, 45, 10 is 1

2. Where do I get the detailed procedure to find GCD of 15, 64, 45, 10?

You can find a detailed procedure to find GCD of 15, 64, 45, 10 on our page.

3. How to find GCD of 15, 64, 45, 10 on a calculator?

You can find the GCD of 15, 64, 45, 10 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.