GCD of 792, 171, 320, 642 Calculator

Given Input numbers are 792, 171, 320, 642

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

Divisors of 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Greatest Common Divisior

We found the divisors of 792, 171, 320, 642 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 792, 171, 320, 642 is 1.

Therefore, GCD of numbers 792, 171, 320, 642 is 1

Given Input Data is 792, 171, 320, 642

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

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 642 is 2 x 3 x 107

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(792, 171) = 15048

GCD(792, 171) = ( 792 x 171 ) / 15048

GCD(792, 171) = 135432 / 15048

GCD(792, 171) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 320

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

LCM(9, 320) = 2880

GCD(9, 320) = ( 9 x 320 ) / 2880

GCD(9, 320) = 2880 / 2880

GCD(9, 320) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 642

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

LCM(1, 642) = 642

GCD(1, 642) = ( 1 x 642 ) / 642

GCD(1, 642) = 642 / 642

GCD(1, 642) = 1

GCD of 792, 171, 320, 642 is 1

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1. What is the GCD of 792, 171, 320, 642?

GCD of 792, 171, 320, 642 is 1

2. Where do I get the detailed procedure to find GCD of 792, 171, 320, 642?

You can find a detailed procedure to find GCD of 792, 171, 320, 642 on our page.

3. How to find GCD of 792, 171, 320, 642 on a calculator?

You can find the GCD of 792, 171, 320, 642 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.