GCD of 212, 462, 77, 522 Calculator

Given Input numbers are 212, 462, 77, 522

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

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

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 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

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

Greatest Common Divisior

We found the divisors of 212, 462, 77, 522 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 212, 462, 77, 522 is 1.

Therefore, GCD of numbers 212, 462, 77, 522 is 1

Given Input Data is 212, 462, 77, 522

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

Prime Factorization of 212 is 2 x 2 x 53

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

Prime Factorization of 77 is 7 x 11

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

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(212, 462) = 48972

GCD(212, 462) = ( 212 x 462 ) / 48972

GCD(212, 462) = 97944 / 48972

GCD(212, 462) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 77

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

LCM(2, 77) = 154

GCD(2, 77) = ( 2 x 77 ) / 154

GCD(2, 77) = 154 / 154

GCD(2, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 522

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

LCM(1, 522) = 522

GCD(1, 522) = ( 1 x 522 ) / 522

GCD(1, 522) = 522 / 522

GCD(1, 522) = 1

GCD of 212, 462, 77, 522 is 1

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• GCD of 475, 222, 70, 772
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1. What is the GCD of 212, 462, 77, 522?

GCD of 212, 462, 77, 522 is 1

2. Where do I get the detailed procedure to find GCD of 212, 462, 77, 522?

You can find a detailed procedure to find GCD of 212, 462, 77, 522 on our page.

3. How to find GCD of 212, 462, 77, 522 on a calculator?

You can find the GCD of 212, 462, 77, 522 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.