GCD of 642, 196, 309, 447 Calculator

Given Input numbers are 642, 196, 309, 447

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 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 447

List of positive integer divisors of 447 that divides 447 without a remainder.

1, 3, 149, 447

Greatest Common Divisior

We found the divisors of 642, 196, 309, 447 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 196, 309, 447 is 1.

Therefore, GCD of numbers 642, 196, 309, 447 is 1

Given Input Data is 642, 196, 309, 447

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 196 is 2 x 2 x 7 x 7

Prime Factorization of 309 is 3 x 103

Prime Factorization of 447 is 3 x 149

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, 196) = 62916

GCD(642, 196) = ( 642 x 196 ) / 62916

GCD(642, 196) = 125832 / 62916

GCD(642, 196) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 309

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

LCM(2, 309) = 618

GCD(2, 309) = ( 2 x 309 ) / 618

GCD(2, 309) = 618 / 618

GCD(2, 309) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 447

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

LCM(1, 447) = 447

GCD(1, 447) = ( 1 x 447 ) / 447

GCD(1, 447) = 447 / 447

GCD(1, 447) = 1

GCD of 642, 196, 309, 447 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 365, 687, 275, 228
• GCD of 755, 868, 261, 819
• GCD of 558, 831, 809, 898
• GCD of 535, 579, 233, 573
• GCD of 675, 281, 883, 446

1. What is the GCD of 642, 196, 309, 447?

GCD of 642, 196, 309, 447 is 1

2. Where do I get the detailed procedure to find GCD of 642, 196, 309, 447?

You can find a detailed procedure to find GCD of 642, 196, 309, 447 on our page.

3. How to find GCD of 642, 196, 309, 447 on a calculator?

You can find the GCD of 642, 196, 309, 447 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.