GCD of 64, 45, 38 Calculator

Given Input numbers are 64, 45, 38

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

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 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Greatest Common Divisior

We found the divisors of 64, 45, 38 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 64, 45, 38 is 1.

Therefore, GCD of numbers 64, 45, 38 is 1

Given Input Data is 64, 45, 38

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

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 38 is 2 x 19

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(64, 45) = 2880

GCD(64, 45) = ( 64 x 45 ) / 2880

GCD(64, 45) = 2880 / 2880

GCD(64, 45) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 1

GCD of 64, 45, 38 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 35, 94, 73
• GCD of 34, 85, 77
• GCD of 12, 15, 39
• GCD of 39, 25, 71
• GCD of 93, 77, 69

1. What is the GCD of 64, 45, 38?

GCD of 64, 45, 38 is 1

2. Where do I get the detailed procedure to find GCD of 64, 45, 38?

You can find a detailed procedure to find GCD of 64, 45, 38 on our page.

3. How to find GCD of 64, 45, 38 on a calculator?

You can find the GCD of 64, 45, 38 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.