GCD of 97, 522, 462, 553 Calculator

Given Input numbers are 97, 522, 462, 553

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

Divisors of 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

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 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Greatest Common Divisior

We found the divisors of 97, 522, 462, 553 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 97, 522, 462, 553 is 1.

Therefore, GCD of numbers 97, 522, 462, 553 is 1

Given Input Data is 97, 522, 462, 553

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

Prime Factorization of 97 is 97

Prime Factorization of 522 is 2 x 3 x 3 x 29

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

Prime Factorization of 553 is 7 x 79

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(97, 522) = 50634

GCD(97, 522) = ( 97 x 522 ) / 50634

GCD(97, 522) = 50634 / 50634

GCD(97, 522) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 462

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

LCM(1, 462) = 462

GCD(1, 462) = ( 1 x 462 ) / 462

GCD(1, 462) = 462 / 462

GCD(1, 462) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 553

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

LCM(1, 553) = 553

GCD(1, 553) = ( 1 x 553 ) / 553

GCD(1, 553) = 553 / 553

GCD(1, 553) = 1

GCD of 97, 522, 462, 553 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 52, 426, 272, 290
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1. What is the GCD of 97, 522, 462, 553?

GCD of 97, 522, 462, 553 is 1

2. Where do I get the detailed procedure to find GCD of 97, 522, 462, 553?

You can find a detailed procedure to find GCD of 97, 522, 462, 553 on our page.

3. How to find GCD of 97, 522, 462, 553 on a calculator?

You can find the GCD of 97, 522, 462, 553 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.