GCD of 39, 42, 57 Calculator

Given Input numbers are 39, 42, 57

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 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Greatest Common Divisior

We found the divisors of 39, 42, 57 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 39, 42, 57 is 3.

Therefore, GCD of numbers 39, 42, 57 is 3

Given Input Data is 39, 42, 57

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

Prime Factorization of 39 is 3 x 13

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 57 is 3 x 19

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 42) = 546

GCD(39, 42) = ( 39 x 42 ) / 546

GCD(39, 42) = 1638 / 546

GCD(39, 42) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 57

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

LCM(3, 57) = 57

GCD(3, 57) = ( 3 x 57 ) / 57

GCD(3, 57) = 171 / 57

GCD(3, 57) = 3

GCD of 39, 42, 57 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 11, 79, 69
• GCD of 45, 84, 58
• GCD of 89, 60, 48
• GCD of 37, 44, 31
• GCD of 50, 72, 56

1. What is the GCD of 39, 42, 57?

GCD of 39, 42, 57 is 3

2. Where do I get the detailed procedure to find GCD of 39, 42, 57?

You can find a detailed procedure to find GCD of 39, 42, 57 on our page.

3. How to find GCD of 39, 42, 57 on a calculator?

You can find the GCD of 39, 42, 57 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.