GCD of 322, 407, 39, 740 Calculator

Given Input numbers are 322, 407, 39, 740

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

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 39

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

1, 3, 13, 39

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Greatest Common Divisior

We found the divisors of 322, 407, 39, 740 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 322, 407, 39, 740 is 1.

Therefore, GCD of numbers 322, 407, 39, 740 is 1

Given Input Data is 322, 407, 39, 740

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

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 407 is 11 x 37

Prime Factorization of 39 is 3 x 13

Prime Factorization of 740 is 2 x 2 x 5 x 37

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(322, 407) = 131054

GCD(322, 407) = ( 322 x 407 ) / 131054

GCD(322, 407) = 131054 / 131054

GCD(322, 407) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 39

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

LCM(1, 39) = 39

GCD(1, 39) = ( 1 x 39 ) / 39

GCD(1, 39) = 39 / 39

GCD(1, 39) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 740

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

LCM(1, 740) = 740

GCD(1, 740) = ( 1 x 740 ) / 740

GCD(1, 740) = 740 / 740

GCD(1, 740) = 1

GCD of 322, 407, 39, 740 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 814, 874, 37, 200
• GCD of 170, 478, 94, 890
• GCD of 920, 754, 80, 696
• GCD of 468, 913, 74, 141
• GCD of 515, 783, 25, 476

1. What is the GCD of 322, 407, 39, 740?

GCD of 322, 407, 39, 740 is 1

2. Where do I get the detailed procedure to find GCD of 322, 407, 39, 740?

You can find a detailed procedure to find GCD of 322, 407, 39, 740 on our page.

3. How to find GCD of 322, 407, 39, 740 on a calculator?

You can find the GCD of 322, 407, 39, 740 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.