GCD of 162, 779, 560, 218 Calculator

Given Input numbers are 162, 779, 560, 218

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 779

List of positive integer divisors of 779 that divides 779 without a remainder.

1, 19, 41, 779

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Greatest Common Divisior

We found the divisors of 162, 779, 560, 218 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 162, 779, 560, 218 is 1.

Therefore, GCD of numbers 162, 779, 560, 218 is 1

Given Input Data is 162, 779, 560, 218

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 779 is 19 x 41

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 218 is 2 x 109

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, 779) = 126198

GCD(162, 779) = ( 162 x 779 ) / 126198

GCD(162, 779) = 126198 / 126198

GCD(162, 779) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 560

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

LCM(1, 560) = 560

GCD(1, 560) = ( 1 x 560 ) / 560

GCD(1, 560) = 560 / 560

GCD(1, 560) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 218

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

LCM(1, 218) = 218

GCD(1, 218) = ( 1 x 218 ) / 218

GCD(1, 218) = 218 / 218

GCD(1, 218) = 1

GCD of 162, 779, 560, 218 is 1

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1. What is the GCD of 162, 779, 560, 218?

GCD of 162, 779, 560, 218 is 1

2. Where do I get the detailed procedure to find GCD of 162, 779, 560, 218?

You can find a detailed procedure to find GCD of 162, 779, 560, 218 on our page.

3. How to find GCD of 162, 779, 560, 218 on a calculator?

You can find the GCD of 162, 779, 560, 218 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.