GCD of 165, 160, 68, 821 Calculator

Given Input numbers are 165, 160, 68, 821

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

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

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

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Greatest Common Divisior

We found the divisors of 165, 160, 68, 821 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 165, 160, 68, 821 is 1.

Therefore, GCD of numbers 165, 160, 68, 821 is 1

Given Input Data is 165, 160, 68, 821

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

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 821 is 821

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(165, 160) = 5280

GCD(165, 160) = ( 165 x 160 ) / 5280

GCD(165, 160) = 26400 / 5280

GCD(165, 160) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 68

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

LCM(5, 68) = 340

GCD(5, 68) = ( 5 x 68 ) / 340

GCD(5, 68) = 340 / 340

GCD(5, 68) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 821

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

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

GCD(1, 821) = 821 / 821

GCD(1, 821) = 1

GCD of 165, 160, 68, 821 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 584, 986, 76, 939
• GCD of 793, 793, 43, 160
• GCD of 672, 177, 44, 505
• GCD of 591, 747, 15, 287
• GCD of 419, 914, 24, 546

1. What is the GCD of 165, 160, 68, 821?

GCD of 165, 160, 68, 821 is 1

2. Where do I get the detailed procedure to find GCD of 165, 160, 68, 821?

You can find a detailed procedure to find GCD of 165, 160, 68, 821 on our page.

3. How to find GCD of 165, 160, 68, 821 on a calculator?

You can find the GCD of 165, 160, 68, 821 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.