GCD of 642, 206, 837, 323 Calculator

Given Input numbers are 642, 206, 837, 323

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

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Divisors of 837

List of positive integer divisors of 837 that divides 837 without a remainder.

1, 3, 9, 27, 31, 93, 279, 837

Divisors of 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Greatest Common Divisior

We found the divisors of 642, 206, 837, 323 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 206, 837, 323 is 1.

Therefore, GCD of numbers 642, 206, 837, 323 is 1

Given Input Data is 642, 206, 837, 323

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

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 206 is 2 x 103

Prime Factorization of 837 is 3 x 3 x 3 x 31

Prime Factorization of 323 is 17 x 19

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(642, 206) = 66126

GCD(642, 206) = ( 642 x 206 ) / 66126

GCD(642, 206) = 132252 / 66126

GCD(642, 206) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 837

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

LCM(2, 837) = 1674

GCD(2, 837) = ( 2 x 837 ) / 1674

GCD(2, 837) = 1674 / 1674

GCD(2, 837) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 323

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

LCM(1, 323) = 323

GCD(1, 323) = ( 1 x 323 ) / 323

GCD(1, 323) = 323 / 323

GCD(1, 323) = 1

GCD of 642, 206, 837, 323 is 1

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1. What is the GCD of 642, 206, 837, 323?

GCD of 642, 206, 837, 323 is 1

2. Where do I get the detailed procedure to find GCD of 642, 206, 837, 323?

You can find a detailed procedure to find GCD of 642, 206, 837, 323 on our page.

3. How to find GCD of 642, 206, 837, 323 on a calculator?

You can find the GCD of 642, 206, 837, 323 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.