GCD of 30, 32, 58, 63 Calculator

Given Input numbers are 30, 32, 58, 63

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

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 58

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

1, 2, 29, 58

Divisors of 63

List of positive integer divisors of 63 that divides 63 without a remainder.

1, 3, 7, 9, 21, 63

Greatest Common Divisior

We found the divisors of 30, 32, 58, 63 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 30, 32, 58, 63 is 1.

Therefore, GCD of numbers 30, 32, 58, 63 is 1

Given Input Data is 30, 32, 58, 63

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

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 58 is 2 x 29

Prime Factorization of 63 is 3 x 3 x 7

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(30, 32) = 480

GCD(30, 32) = ( 30 x 32 ) / 480

GCD(30, 32) = 960 / 480

GCD(30, 32) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 58

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

LCM(2, 58) = 58

GCD(2, 58) = ( 2 x 58 ) / 58

GCD(2, 58) = 116 / 58

GCD(2, 58) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 63

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

LCM(2, 63) = 126

GCD(2, 63) = ( 2 x 63 ) / 126

GCD(2, 63) = 126 / 126

GCD(2, 63) = 1

GCD of 30, 32, 58, 63 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 36, 31, 44, 10
• GCD of 65, 36, 11, 14
• GCD of 57, 19, 74, 48
• GCD of 18, 59, 79, 81
• GCD of 10, 80, 69, 13

1. What is the GCD of 30, 32, 58, 63?

GCD of 30, 32, 58, 63 is 1

2. Where do I get the detailed procedure to find GCD of 30, 32, 58, 63?

You can find a detailed procedure to find GCD of 30, 32, 58, 63 on our page.

3. How to find GCD of 30, 32, 58, 63 on a calculator?

You can find the GCD of 30, 32, 58, 63 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.