GCD of 24, 64, 67 Calculator

Given Input numbers are 24, 64, 67

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

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

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 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Greatest Common Divisior

We found the divisors of 24, 64, 67 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 24, 64, 67 is 1.

Therefore, GCD of numbers 24, 64, 67 is 1

Given Input Data is 24, 64, 67

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

Prime Factorization of 24 is 2 x 2 x 2 x 3

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

Prime Factorization of 67 is 67

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(24, 64) = 192

GCD(24, 64) = ( 24 x 64 ) / 192

GCD(24, 64) = 1536 / 192

GCD(24, 64) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 67

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

LCM(8, 67) = 536

GCD(8, 67) = ( 8 x 67 ) / 536

GCD(8, 67) = 536 / 536

GCD(8, 67) = 1

GCD of 24, 64, 67 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 83, 62, 28
• GCD of 70, 44, 77
• GCD of 72, 47, 91
• GCD of 76, 63, 95
• GCD of 52, 52, 78

1. What is the GCD of 24, 64, 67?

GCD of 24, 64, 67 is 1

2. Where do I get the detailed procedure to find GCD of 24, 64, 67?

You can find a detailed procedure to find GCD of 24, 64, 67 on our page.

3. How to find GCD of 24, 64, 67 on a calculator?

You can find the GCD of 24, 64, 67 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.