GCD of 212, 159, 397, 698 Calculator

Given Input numbers are 212, 159, 397, 698

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 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Greatest Common Divisior

We found the divisors of 212, 159, 397, 698 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 212, 159, 397, 698 is 1.

Therefore, GCD of numbers 212, 159, 397, 698 is 1

Given Input Data is 212, 159, 397, 698

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 159 is 3 x 53

Prime Factorization of 397 is 397

Prime Factorization of 698 is 2 x 349

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, 159) = 636

GCD(212, 159) = ( 212 x 159 ) / 636

GCD(212, 159) = 33708 / 636

GCD(212, 159) = 53

Step2:

Here we consider the GCD from the above i.e. 53 as first number and the next as 397

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

LCM(53, 397) = 21041

GCD(53, 397) = ( 53 x 397 ) / 21041

GCD(53, 397) = 21041 / 21041

GCD(53, 397) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 698

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

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

GCD(1, 698) = 698 / 698

GCD(1, 698) = 1

GCD of 212, 159, 397, 698 is 1

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• GCD of 245, 601, 515, 304
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• GCD of 170, 838, 185, 474

1. What is the GCD of 212, 159, 397, 698?

GCD of 212, 159, 397, 698 is 1

2. Where do I get the detailed procedure to find GCD of 212, 159, 397, 698?

You can find a detailed procedure to find GCD of 212, 159, 397, 698 on our page.

3. How to find GCD of 212, 159, 397, 698 on a calculator?

You can find the GCD of 212, 159, 397, 698 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.