GCD of 465, 390, 52, 922 Calculator

Given Input numbers are 465, 390, 52, 922

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

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 922

List of positive integer divisors of 922 that divides 922 without a remainder.

1, 2, 461, 922

Greatest Common Divisior

We found the divisors of 465, 390, 52, 922 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 465, 390, 52, 922 is 1.

Therefore, GCD of numbers 465, 390, 52, 922 is 1

Given Input Data is 465, 390, 52, 922

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

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 922 is 2 x 461

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(465, 390) = 12090

GCD(465, 390) = ( 465 x 390 ) / 12090

GCD(465, 390) = 181350 / 12090

GCD(465, 390) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 52

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

LCM(15, 52) = 780

GCD(15, 52) = ( 15 x 52 ) / 780

GCD(15, 52) = 780 / 780

GCD(15, 52) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 922

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

LCM(1, 922) = 922

GCD(1, 922) = ( 1 x 922 ) / 922

GCD(1, 922) = 922 / 922

GCD(1, 922) = 1

GCD of 465, 390, 52, 922 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 280, 596, 40, 193
• GCD of 504, 669, 87, 344
• GCD of 902, 478, 84, 126
• GCD of 400, 268, 55, 399
• GCD of 670, 788, 52, 356

1. What is the GCD of 465, 390, 52, 922?

GCD of 465, 390, 52, 922 is 1

2. Where do I get the detailed procedure to find GCD of 465, 390, 52, 922?

You can find a detailed procedure to find GCD of 465, 390, 52, 922 on our page.

3. How to find GCD of 465, 390, 52, 922 on a calculator?

You can find the GCD of 465, 390, 52, 922 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.