GCD of 693, 212, 31, 649 Calculator

Given Input numbers are 693, 212, 31, 649

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

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 212

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

1, 2, 4, 53, 106, 212

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Greatest Common Divisior

We found the divisors of 693, 212, 31, 649 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 693, 212, 31, 649 is 1.

Therefore, GCD of numbers 693, 212, 31, 649 is 1

Given Input Data is 693, 212, 31, 649

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

Prime Factorization of 693 is 3 x 3 x 7 x 11

Prime Factorization of 212 is 2 x 2 x 53

Prime Factorization of 31 is 31

Prime Factorization of 649 is 11 x 59

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(693, 212) = 146916

GCD(693, 212) = ( 693 x 212 ) / 146916

GCD(693, 212) = 146916 / 146916

GCD(693, 212) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 649

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

LCM(1, 649) = 649

GCD(1, 649) = ( 1 x 649 ) / 649

GCD(1, 649) = 649 / 649

GCD(1, 649) = 1

GCD of 693, 212, 31, 649 is 1

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1. What is the GCD of 693, 212, 31, 649?

GCD of 693, 212, 31, 649 is 1

2. Where do I get the detailed procedure to find GCD of 693, 212, 31, 649?

You can find a detailed procedure to find GCD of 693, 212, 31, 649 on our page.

3. How to find GCD of 693, 212, 31, 649 on a calculator?

You can find the GCD of 693, 212, 31, 649 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.