GCD of 65, 44, 58, 64 Calculator

Given Input numbers are 65, 44, 58, 64

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

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 58

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

1, 2, 29, 58

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 65, 44, 58, 64 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 65, 44, 58, 64 is 1.

Therefore, GCD of numbers 65, 44, 58, 64 is 1

Given Input Data is 65, 44, 58, 64

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

Prime Factorization of 65 is 5 x 13

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 58 is 2 x 29

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(65, 44) = 2860

GCD(65, 44) = ( 65 x 44 ) / 2860

GCD(65, 44) = 2860 / 2860

GCD(65, 44) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 58

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

LCM(1, 58) = 58

GCD(1, 58) = ( 1 x 58 ) / 58

GCD(1, 58) = 58 / 58

GCD(1, 58) = 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 65, 44, 58, 64 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 61, 95, 19, 66
• GCD of 18, 51, 92, 40
• GCD of 74, 32, 74, 49
• GCD of 59, 43, 30, 15
• GCD of 60, 83, 64, 40

1. What is the GCD of 65, 44, 58, 64?

GCD of 65, 44, 58, 64 is 1

2. Where do I get the detailed procedure to find GCD of 65, 44, 58, 64?

You can find a detailed procedure to find GCD of 65, 44, 58, 64 on our page.

3. How to find GCD of 65, 44, 58, 64 on a calculator?

You can find the GCD of 65, 44, 58, 64 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.