GCD of 39, 159, 464, 577 Calculator

Given Input numbers are 39, 159, 464, 577

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

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 577

List of positive integer divisors of 577 that divides 577 without a remainder.

1, 577

Greatest Common Divisior

We found the divisors of 39, 159, 464, 577 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 39, 159, 464, 577 is 1.

Therefore, GCD of numbers 39, 159, 464, 577 is 1

Given Input Data is 39, 159, 464, 577

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

Prime Factorization of 39 is 3 x 13

Prime Factorization of 159 is 3 x 53

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 577 is 577

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(39, 159) = 2067

GCD(39, 159) = ( 39 x 159 ) / 2067

GCD(39, 159) = 6201 / 2067

GCD(39, 159) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 464

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

LCM(3, 464) = 1392

GCD(3, 464) = ( 3 x 464 ) / 1392

GCD(3, 464) = 1392 / 1392

GCD(3, 464) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 577

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

LCM(1, 577) = 577

GCD(1, 577) = ( 1 x 577 ) / 577

GCD(1, 577) = 577 / 577

GCD(1, 577) = 1

GCD of 39, 159, 464, 577 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 86, 191, 425, 219
• GCD of 53, 300, 427, 417
• GCD of 12, 101, 195, 507
• GCD of 95, 269, 694, 913
• GCD of 75, 117, 429, 996

1. What is the GCD of 39, 159, 464, 577?

GCD of 39, 159, 464, 577 is 1

2. Where do I get the detailed procedure to find GCD of 39, 159, 464, 577?

You can find a detailed procedure to find GCD of 39, 159, 464, 577 on our page.

3. How to find GCD of 39, 159, 464, 577 on a calculator?

You can find the GCD of 39, 159, 464, 577 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.