GCD of 96, 58, 59, 64 Calculator

Given Input numbers are 96, 58, 59, 64

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

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 58

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

1, 2, 29, 58

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

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 96, 58, 59, 64 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 58, 59, 64 is 1.

Therefore, GCD of numbers 96, 58, 59, 64 is 1

Given Input Data is 96, 58, 59, 64

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

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 58 is 2 x 29

Prime Factorization of 59 is 59

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(96, 58) = 2784

GCD(96, 58) = ( 96 x 58 ) / 2784

GCD(96, 58) = 5568 / 2784

GCD(96, 58) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 59

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

LCM(2, 59) = 118

GCD(2, 59) = ( 2 x 59 ) / 118

GCD(2, 59) = 118 / 118

GCD(2, 59) = 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 96, 58, 59, 64 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 82, 57, 54, 18
• GCD of 30, 80, 17, 61
• GCD of 38, 88, 24, 44
• GCD of 89, 39, 41, 13
• GCD of 43, 66, 64, 45

1. What is the GCD of 96, 58, 59, 64?

GCD of 96, 58, 59, 64 is 1

2. Where do I get the detailed procedure to find GCD of 96, 58, 59, 64?

You can find a detailed procedure to find GCD of 96, 58, 59, 64 on our page.

3. How to find GCD of 96, 58, 59, 64 on a calculator?

You can find the GCD of 96, 58, 59, 64 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.