GCD of 642, 655, 42, 165 Calculator

Given Input numbers are 642, 655, 42, 165

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 655

List of positive integer divisors of 655 that divides 655 without a remainder.

1, 5, 131, 655

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Greatest Common Divisior

We found the divisors of 642, 655, 42, 165 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 655, 42, 165 is 1.

Therefore, GCD of numbers 642, 655, 42, 165 is 1

Given Input Data is 642, 655, 42, 165

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 655 is 5 x 131

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 165 is 3 x 5 x 11

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, 655) = 420510

GCD(642, 655) = ( 642 x 655 ) / 420510

GCD(642, 655) = 420510 / 420510

GCD(642, 655) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 165

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

LCM(1, 165) = 165

GCD(1, 165) = ( 1 x 165 ) / 165

GCD(1, 165) = 165 / 165

GCD(1, 165) = 1

GCD of 642, 655, 42, 165 is 1

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1. What is the GCD of 642, 655, 42, 165?

GCD of 642, 655, 42, 165 is 1

2. Where do I get the detailed procedure to find GCD of 642, 655, 42, 165?

You can find a detailed procedure to find GCD of 642, 655, 42, 165 on our page.

3. How to find GCD of 642, 655, 42, 165 on a calculator?

You can find the GCD of 642, 655, 42, 165 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.