GCD of 786, 171, 166, 963 Calculator

Given Input numbers are 786, 171, 166, 963

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

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 171

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

1, 3, 9, 19, 57, 171

Divisors of 166

List of positive integer divisors of 166 that divides 166 without a remainder.

1, 2, 83, 166

Divisors of 963

List of positive integer divisors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

Greatest Common Divisior

We found the divisors of 786, 171, 166, 963 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 786, 171, 166, 963 is 1.

Therefore, GCD of numbers 786, 171, 166, 963 is 1

Given Input Data is 786, 171, 166, 963

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

Prime Factorization of 786 is 2 x 3 x 131

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 166 is 2 x 83

Prime Factorization of 963 is 3 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(786, 171) = 44802

GCD(786, 171) = ( 786 x 171 ) / 44802

GCD(786, 171) = 134406 / 44802

GCD(786, 171) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 166

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

LCM(3, 166) = 498

GCD(3, 166) = ( 3 x 166 ) / 498

GCD(3, 166) = 498 / 498

GCD(3, 166) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 963

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

LCM(1, 963) = 963

GCD(1, 963) = ( 1 x 963 ) / 963

GCD(1, 963) = 963 / 963

GCD(1, 963) = 1

GCD of 786, 171, 166, 963 is 1

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1. What is the GCD of 786, 171, 166, 963?

GCD of 786, 171, 166, 963 is 1

2. Where do I get the detailed procedure to find GCD of 786, 171, 166, 963?

You can find a detailed procedure to find GCD of 786, 171, 166, 963 on our page.

3. How to find GCD of 786, 171, 166, 963 on a calculator?

You can find the GCD of 786, 171, 166, 963 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.