GCD of 507, 928, 59, 414 Calculator

Given Input numbers are 507, 928, 59, 414

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

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

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

Greatest Common Divisior

We found the divisors of 507, 928, 59, 414 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 507, 928, 59, 414 is 1.

Therefore, GCD of numbers 507, 928, 59, 414 is 1

Given Input Data is 507, 928, 59, 414

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

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

Prime Factorization of 59 is 59

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

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(507, 928) = 470496

GCD(507, 928) = ( 507 x 928 ) / 470496

GCD(507, 928) = 470496 / 470496

GCD(507, 928) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 59

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

LCM(1, 59) = 59

GCD(1, 59) = ( 1 x 59 ) / 59

GCD(1, 59) = 59 / 59

GCD(1, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 414

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

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

GCD(1, 414) = 414 / 414

GCD(1, 414) = 1

GCD of 507, 928, 59, 414 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 461, 677, 39, 233
• GCD of 728, 104, 36, 860
• GCD of 329, 694, 40, 186
• GCD of 418, 972, 70, 458
• GCD of 596, 559, 27, 790

1. What is the GCD of 507, 928, 59, 414?

GCD of 507, 928, 59, 414 is 1

2. Where do I get the detailed procedure to find GCD of 507, 928, 59, 414?

You can find a detailed procedure to find GCD of 507, 928, 59, 414 on our page.

3. How to find GCD of 507, 928, 59, 414 on a calculator?

You can find the GCD of 507, 928, 59, 414 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.