GCD of 966, 162, 642, 791 Calculator

Given Input numbers are 966, 162, 642, 791

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

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

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 791

List of positive integer divisors of 791 that divides 791 without a remainder.

1, 7, 113, 791

Greatest Common Divisior

We found the divisors of 966, 162, 642, 791 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 966, 162, 642, 791 is 1.

Therefore, GCD of numbers 966, 162, 642, 791 is 1

Given Input Data is 966, 162, 642, 791

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

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 791 is 7 x 113

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(966, 162) = 26082

GCD(966, 162) = ( 966 x 162 ) / 26082

GCD(966, 162) = 156492 / 26082

GCD(966, 162) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 642

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

LCM(6, 642) = 642

GCD(6, 642) = ( 6 x 642 ) / 642

GCD(6, 642) = 3852 / 642

GCD(6, 642) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 791

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

LCM(6, 791) = 4746

GCD(6, 791) = ( 6 x 791 ) / 4746

GCD(6, 791) = 4746 / 4746

GCD(6, 791) = 1

GCD of 966, 162, 642, 791 is 1

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1. What is the GCD of 966, 162, 642, 791?

GCD of 966, 162, 642, 791 is 1

2. Where do I get the detailed procedure to find GCD of 966, 162, 642, 791?

You can find a detailed procedure to find GCD of 966, 162, 642, 791 on our page.

3. How to find GCD of 966, 162, 642, 791 on a calculator?

You can find the GCD of 966, 162, 642, 791 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.