GCD of 521, 162, 28, 214 Calculator

Given Input numbers are 521, 162, 28, 214

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

Divisors of 521

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

1, 521

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Greatest Common Divisior

We found the divisors of 521, 162, 28, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 521, 162, 28, 214 is 1.

Therefore, GCD of numbers 521, 162, 28, 214 is 1

Given Input Data is 521, 162, 28, 214

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

Prime Factorization of 521 is 521

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 214 is 2 x 107

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(521, 162) = 84402

GCD(521, 162) = ( 521 x 162 ) / 84402

GCD(521, 162) = 84402 / 84402

GCD(521, 162) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 28

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

LCM(1, 28) = 28

GCD(1, 28) = ( 1 x 28 ) / 28

GCD(1, 28) = 28 / 28

GCD(1, 28) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 214

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

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

GCD(1, 214) = 214 / 214

GCD(1, 214) = 1

GCD of 521, 162, 28, 214 is 1

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• GCD of 182, 242, 56, 916
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• GCD of 919, 246, 87, 710

1. What is the GCD of 521, 162, 28, 214?

GCD of 521, 162, 28, 214 is 1

2. Where do I get the detailed procedure to find GCD of 521, 162, 28, 214?

You can find a detailed procedure to find GCD of 521, 162, 28, 214 on our page.

3. How to find GCD of 521, 162, 28, 214 on a calculator?

You can find the GCD of 521, 162, 28, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.