GCD of 39, 561, 738, 615 Calculator

Given Input numbers are 39, 561, 738, 615

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 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 615

List of positive integer divisors of 615 that divides 615 without a remainder.

1, 3, 5, 15, 41, 123, 205, 615

Greatest Common Divisior

We found the divisors of 39, 561, 738, 615 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 39, 561, 738, 615 is 3.

Therefore, GCD of numbers 39, 561, 738, 615 is 3

Given Input Data is 39, 561, 738, 615

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

Prime Factorization of 39 is 3 x 13

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 615 is 3 x 5 x 41

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, 561) = 7293

GCD(39, 561) = ( 39 x 561 ) / 7293

GCD(39, 561) = 21879 / 7293

GCD(39, 561) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 738

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

LCM(3, 738) = 738

GCD(3, 738) = ( 3 x 738 ) / 738

GCD(3, 738) = 2214 / 738

GCD(3, 738) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 615

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

LCM(3, 615) = 615

GCD(3, 615) = ( 3 x 615 ) / 615

GCD(3, 615) = 1845 / 615

GCD(3, 615) = 3

GCD of 39, 561, 738, 615 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 28, 410, 222, 160
• GCD of 45, 757, 206, 837
• GCD of 81, 469, 307, 560
• GCD of 17, 457, 849, 365
• GCD of 60, 911, 563, 339

1. What is the GCD of 39, 561, 738, 615?

GCD of 39, 561, 738, 615 is 3

2. Where do I get the detailed procedure to find GCD of 39, 561, 738, 615?

You can find a detailed procedure to find GCD of 39, 561, 738, 615 on our page.

3. How to find GCD of 39, 561, 738, 615 on a calculator?

You can find the GCD of 39, 561, 738, 615 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.