GCD of 24, 71, 64, 54 Calculator

Given Input numbers are 24, 71, 64, 54

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 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

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 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Greatest Common Divisior

We found the divisors of 24, 71, 64, 54 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 24, 71, 64, 54 is 1.

Therefore, GCD of numbers 24, 71, 64, 54 is 1

Given Input Data is 24, 71, 64, 54

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 71 is 71

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

Prime Factorization of 54 is 2 x 3 x 3 x 3

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, 71) = 1704

GCD(24, 71) = ( 24 x 71 ) / 1704

GCD(24, 71) = 1704 / 1704

GCD(24, 71) = 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 54

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

LCM(1, 54) = 54

GCD(1, 54) = ( 1 x 54 ) / 54

GCD(1, 54) = 54 / 54

GCD(1, 54) = 1

GCD of 24, 71, 64, 54 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 26, 60, 17, 67
• GCD of 35, 26, 27, 74
• GCD of 54, 31, 30, 88
• GCD of 15, 47, 41, 61
• GCD of 99, 20, 95, 67

1. What is the GCD of 24, 71, 64, 54?

GCD of 24, 71, 64, 54 is 1

2. Where do I get the detailed procedure to find GCD of 24, 71, 64, 54?

You can find a detailed procedure to find GCD of 24, 71, 64, 54 on our page.

3. How to find GCD of 24, 71, 64, 54 on a calculator?

You can find the GCD of 24, 71, 64, 54 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.