GCD of 47, 58, 73, 64 Calculator

Given Input numbers are 47, 58, 73, 64

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

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Greatest Common Divisior

We found the divisors of 47, 58, 73, 64 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 47, 58, 73, 64 is 1.

Therefore, GCD of numbers 47, 58, 73, 64 is 1

Given Input Data is 47, 58, 73, 64

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

Prime Factorization of 47 is 47

Prime Factorization of 58 is 2 x 29

Prime Factorization of 73 is 73

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

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(47, 58) = 2726

GCD(47, 58) = ( 47 x 58 ) / 2726

GCD(47, 58) = 2726 / 2726

GCD(47, 58) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 73

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

LCM(1, 73) = 73

GCD(1, 73) = ( 1 x 73 ) / 73

GCD(1, 73) = 73 / 73

GCD(1, 73) = 1

Step3:

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

GCD of 47, 58, 73, 64 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 49, 24, 67, 89
• GCD of 77, 18, 90, 73
• GCD of 72, 71, 87, 18
• GCD of 53, 93, 78, 83
• GCD of 84, 37, 63, 24

1. What is the GCD of 47, 58, 73, 64?

GCD of 47, 58, 73, 64 is 1

2. Where do I get the detailed procedure to find GCD of 47, 58, 73, 64?

You can find a detailed procedure to find GCD of 47, 58, 73, 64 on our page.

3. How to find GCD of 47, 58, 73, 64 on a calculator?

You can find the GCD of 47, 58, 73, 64 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.