GCD of 38, 764, 414, 465 Calculator

Given Input numbers are 38, 764, 414, 465

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

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 465

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

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

Greatest Common Divisior

We found the divisors of 38, 764, 414, 465 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 764, 414, 465 is 1.

Therefore, GCD of numbers 38, 764, 414, 465 is 1

Given Input Data is 38, 764, 414, 465

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

Prime Factorization of 38 is 2 x 19

Prime Factorization of 764 is 2 x 2 x 191

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 465 is 3 x 5 x 31

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(38, 764) = 14516

GCD(38, 764) = ( 38 x 764 ) / 14516

GCD(38, 764) = 29032 / 14516

GCD(38, 764) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 414

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

LCM(2, 414) = 414

GCD(2, 414) = ( 2 x 414 ) / 414

GCD(2, 414) = 828 / 414

GCD(2, 414) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 465

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

LCM(2, 465) = 930

GCD(2, 465) = ( 2 x 465 ) / 930

GCD(2, 465) = 930 / 930

GCD(2, 465) = 1

GCD of 38, 764, 414, 465 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 66, 319, 876, 443
• GCD of 18, 118, 756, 832
• GCD of 81, 559, 742, 564
• GCD of 53, 257, 377, 868
• GCD of 35, 960, 416, 694

1. What is the GCD of 38, 764, 414, 465?

GCD of 38, 764, 414, 465 is 1

2. Where do I get the detailed procedure to find GCD of 38, 764, 414, 465?

You can find a detailed procedure to find GCD of 38, 764, 414, 465 on our page.

3. How to find GCD of 38, 764, 414, 465 on a calculator?

You can find the GCD of 38, 764, 414, 465 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.