GCD of 642, 609, 257, 357 Calculator

Given Input numbers are 642, 609, 257, 357

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 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 257

List of positive integer divisors of 257 that divides 257 without a remainder.

1, 257

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Greatest Common Divisior

We found the divisors of 642, 609, 257, 357 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 609, 257, 357 is 1.

Therefore, GCD of numbers 642, 609, 257, 357 is 1

Given Input Data is 642, 609, 257, 357

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 609 is 3 x 7 x 29

Prime Factorization of 257 is 257

Prime Factorization of 357 is 3 x 7 x 17

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, 609) = 130326

GCD(642, 609) = ( 642 x 609 ) / 130326

GCD(642, 609) = 390978 / 130326

GCD(642, 609) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 257

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

LCM(3, 257) = 771

GCD(3, 257) = ( 3 x 257 ) / 771

GCD(3, 257) = 771 / 771

GCD(3, 257) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 357

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

LCM(1, 357) = 357

GCD(1, 357) = ( 1 x 357 ) / 357

GCD(1, 357) = 357 / 357

GCD(1, 357) = 1

GCD of 642, 609, 257, 357 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 364, 887, 278, 753
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1. What is the GCD of 642, 609, 257, 357?

GCD of 642, 609, 257, 357 is 1

2. Where do I get the detailed procedure to find GCD of 642, 609, 257, 357?

You can find a detailed procedure to find GCD of 642, 609, 257, 357 on our page.

3. How to find GCD of 642, 609, 257, 357 on a calculator?

You can find the GCD of 642, 609, 257, 357 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.