GCD of 162, 714, 41, 786 Calculator

Given Input numbers are 162, 714, 41, 786

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

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 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 786

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

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

Greatest Common Divisior

We found the divisors of 162, 714, 41, 786 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 162, 714, 41, 786 is 1.

Therefore, GCD of numbers 162, 714, 41, 786 is 1

Given Input Data is 162, 714, 41, 786

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

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

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 41 is 41

Prime Factorization of 786 is 2 x 3 x 131

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(162, 714) = 19278

GCD(162, 714) = ( 162 x 714 ) / 19278

GCD(162, 714) = 115668 / 19278

GCD(162, 714) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 41

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

LCM(6, 41) = 246

GCD(6, 41) = ( 6 x 41 ) / 246

GCD(6, 41) = 246 / 246

GCD(6, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 786

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

LCM(1, 786) = 786

GCD(1, 786) = ( 1 x 786 ) / 786

GCD(1, 786) = 786 / 786

GCD(1, 786) = 1

GCD of 162, 714, 41, 786 is 1

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1. What is the GCD of 162, 714, 41, 786?

GCD of 162, 714, 41, 786 is 1

2. Where do I get the detailed procedure to find GCD of 162, 714, 41, 786?

You can find a detailed procedure to find GCD of 162, 714, 41, 786 on our page.

3. How to find GCD of 162, 714, 41, 786 on a calculator?

You can find the GCD of 162, 714, 41, 786 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.