GCD of 39, 84, 59, 77 Calculator

Given Input numbers are 39, 84, 59, 77

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 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 59

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

1, 59

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Greatest Common Divisior

We found the divisors of 39, 84, 59, 77 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 39, 84, 59, 77 is 1.

Therefore, GCD of numbers 39, 84, 59, 77 is 1

Given Input Data is 39, 84, 59, 77

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

Prime Factorization of 39 is 3 x 13

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 59 is 59

Prime Factorization of 77 is 7 x 11

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, 84) = 1092

GCD(39, 84) = ( 39 x 84 ) / 1092

GCD(39, 84) = 3276 / 1092

GCD(39, 84) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 59

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

LCM(3, 59) = 177

GCD(3, 59) = ( 3 x 59 ) / 177

GCD(3, 59) = 177 / 177

GCD(3, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 77

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

LCM(1, 77) = 77

GCD(1, 77) = ( 1 x 77 ) / 77

GCD(1, 77) = 77 / 77

GCD(1, 77) = 1

GCD of 39, 84, 59, 77 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 83, 82, 35, 52
• GCD of 71, 54, 83, 82
• GCD of 15, 96, 44, 92
• GCD of 88, 93, 85, 11
• GCD of 82, 50, 71, 65

1. What is the GCD of 39, 84, 59, 77?

GCD of 39, 84, 59, 77 is 1

2. Where do I get the detailed procedure to find GCD of 39, 84, 59, 77?

You can find a detailed procedure to find GCD of 39, 84, 59, 77 on our page.

3. How to find GCD of 39, 84, 59, 77 on a calculator?

You can find the GCD of 39, 84, 59, 77 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.