GCD of 462, 413, 92, 521 Calculator

Given Input numbers are 462, 413, 92, 521

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

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

Divisors of 521

List of positive integer divisors of 521 that divides 521 without a remainder.

1, 521

Greatest Common Divisior

We found the divisors of 462, 413, 92, 521 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 462, 413, 92, 521 is 1.

Therefore, GCD of numbers 462, 413, 92, 521 is 1

Given Input Data is 462, 413, 92, 521

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

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 413 is 7 x 59

Prime Factorization of 92 is 2 x 2 x 23

Prime Factorization of 521 is 521

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(462, 413) = 27258

GCD(462, 413) = ( 462 x 413 ) / 27258

GCD(462, 413) = 190806 / 27258

GCD(462, 413) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 92

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

LCM(7, 92) = 644

GCD(7, 92) = ( 7 x 92 ) / 644

GCD(7, 92) = 644 / 644

GCD(7, 92) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 521

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

LCM(1, 521) = 521

GCD(1, 521) = ( 1 x 521 ) / 521

GCD(1, 521) = 521 / 521

GCD(1, 521) = 1

GCD of 462, 413, 92, 521 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 115, 684, 68, 171
• GCD of 934, 938, 43, 616
• GCD of 996, 753, 22, 158
• GCD of 978, 736, 44, 943
• GCD of 920, 486, 67, 329

1. What is the GCD of 462, 413, 92, 521?

GCD of 462, 413, 92, 521 is 1

2. Where do I get the detailed procedure to find GCD of 462, 413, 92, 521?

You can find a detailed procedure to find GCD of 462, 413, 92, 521 on our page.

3. How to find GCD of 462, 413, 92, 521 on a calculator?

You can find the GCD of 462, 413, 92, 521 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.