GCD of 636, 426, 345, 283 Calculator

Given Input numbers are 636, 426, 345, 283

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

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 283

List of positive integer divisors of 283 that divides 283 without a remainder.

1, 283

Greatest Common Divisior

We found the divisors of 636, 426, 345, 283 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 636, 426, 345, 283 is 1.

Therefore, GCD of numbers 636, 426, 345, 283 is 1

Given Input Data is 636, 426, 345, 283

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

Prime Factorization of 636 is 2 x 2 x 3 x 53

Prime Factorization of 426 is 2 x 3 x 71

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 283 is 283

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(636, 426) = 45156

GCD(636, 426) = ( 636 x 426 ) / 45156

GCD(636, 426) = 270936 / 45156

GCD(636, 426) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 345

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

LCM(6, 345) = 690

GCD(6, 345) = ( 6 x 345 ) / 690

GCD(6, 345) = 2070 / 690

GCD(6, 345) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 283

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

LCM(3, 283) = 849

GCD(3, 283) = ( 3 x 283 ) / 849

GCD(3, 283) = 849 / 849

GCD(3, 283) = 1

GCD of 636, 426, 345, 283 is 1

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1. What is the GCD of 636, 426, 345, 283?

GCD of 636, 426, 345, 283 is 1

2. Where do I get the detailed procedure to find GCD of 636, 426, 345, 283?

You can find a detailed procedure to find GCD of 636, 426, 345, 283 on our page.

3. How to find GCD of 636, 426, 345, 283 on a calculator?

You can find the GCD of 636, 426, 345, 283 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.