GCD of 522, 374, 633, 854 Calculator

Given Input numbers are 522, 374, 633, 854

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

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 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 633

List of positive integer divisors of 633 that divides 633 without a remainder.

1, 3, 211, 633

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Greatest Common Divisior

We found the divisors of 522, 374, 633, 854 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 522, 374, 633, 854 is 1.

Therefore, GCD of numbers 522, 374, 633, 854 is 1

Given Input Data is 522, 374, 633, 854

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

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

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 633 is 3 x 211

Prime Factorization of 854 is 2 x 7 x 61

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(522, 374) = 97614

GCD(522, 374) = ( 522 x 374 ) / 97614

GCD(522, 374) = 195228 / 97614

GCD(522, 374) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 633

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

LCM(2, 633) = 1266

GCD(2, 633) = ( 2 x 633 ) / 1266

GCD(2, 633) = 1266 / 1266

GCD(2, 633) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 854

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

LCM(1, 854) = 854

GCD(1, 854) = ( 1 x 854 ) / 854

GCD(1, 854) = 854 / 854

GCD(1, 854) = 1

GCD of 522, 374, 633, 854 is 1

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1. What is the GCD of 522, 374, 633, 854?

GCD of 522, 374, 633, 854 is 1

2. Where do I get the detailed procedure to find GCD of 522, 374, 633, 854?

You can find a detailed procedure to find GCD of 522, 374, 633, 854 on our page.

3. How to find GCD of 522, 374, 633, 854 on a calculator?

You can find the GCD of 522, 374, 633, 854 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.