GCD of 642, 305, 60, 920 Calculator

Given Input numbers are 642, 305, 60, 920

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 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Greatest Common Divisior

We found the divisors of 642, 305, 60, 920 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 305, 60, 920 is 1.

Therefore, GCD of numbers 642, 305, 60, 920 is 1

Given Input Data is 642, 305, 60, 920

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 305 is 5 x 61

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

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, 305) = 195810

GCD(642, 305) = ( 642 x 305 ) / 195810

GCD(642, 305) = 195810 / 195810

GCD(642, 305) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 60

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

LCM(1, 60) = 60

GCD(1, 60) = ( 1 x 60 ) / 60

GCD(1, 60) = 60 / 60

GCD(1, 60) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 920

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

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

GCD(1, 920) = 920 / 920

GCD(1, 920) = 1

GCD of 642, 305, 60, 920 is 1

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1. What is the GCD of 642, 305, 60, 920?

GCD of 642, 305, 60, 920 is 1

2. Where do I get the detailed procedure to find GCD of 642, 305, 60, 920?

You can find a detailed procedure to find GCD of 642, 305, 60, 920 on our page.

3. How to find GCD of 642, 305, 60, 920 on a calculator?

You can find the GCD of 642, 305, 60, 920 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.