GCD of 39, 744, 466, 615 Calculator

Given Input numbers are 39, 744, 466, 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 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

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, 744, 466, 615 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 39, 744, 466, 615 is 1.

Therefore, GCD of numbers 39, 744, 466, 615 is 1

Given Input Data is 39, 744, 466, 615

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

Prime Factorization of 39 is 3 x 13

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 466 is 2 x 233

Prime Factorization of 615 is 3 x 5 x 41

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, 744) = 9672

GCD(39, 744) = ( 39 x 744 ) / 9672

GCD(39, 744) = 29016 / 9672

GCD(39, 744) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 466

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

LCM(3, 466) = 1398

GCD(3, 466) = ( 3 x 466 ) / 1398

GCD(3, 466) = 1398 / 1398

GCD(3, 466) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 615

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

LCM(1, 615) = 615

GCD(1, 615) = ( 1 x 615 ) / 615

GCD(1, 615) = 615 / 615

GCD(1, 615) = 1

GCD of 39, 744, 466, 615 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 77, 517, 773, 909
• GCD of 47, 905, 890, 217
• GCD of 99, 751, 654, 343
• GCD of 88, 383, 750, 637
• GCD of 46, 974, 873, 322

1. What is the GCD of 39, 744, 466, 615?

GCD of 39, 744, 466, 615 is 1

2. Where do I get the detailed procedure to find GCD of 39, 744, 466, 615?

You can find a detailed procedure to find GCD of 39, 744, 466, 615 on our page.

3. How to find GCD of 39, 744, 466, 615 on a calculator?

You can find the GCD of 39, 744, 466, 615 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.