GCD of 829, 122, 16, 220 Calculator

Given Input numbers are 829, 122, 16, 220

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

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Greatest Common Divisior

We found the divisors of 829, 122, 16, 220 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 829, 122, 16, 220 is 1.

Therefore, GCD of numbers 829, 122, 16, 220 is 1

Given Input Data is 829, 122, 16, 220

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

Prime Factorization of 829 is 829

Prime Factorization of 122 is 2 x 61

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 220 is 2 x 2 x 5 x 11

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(829, 122) = 101138

GCD(829, 122) = ( 829 x 122 ) / 101138

GCD(829, 122) = 101138 / 101138

GCD(829, 122) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 16

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

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

GCD(1, 16) = 16 / 16

GCD(1, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 220

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

LCM(1, 220) = 220

GCD(1, 220) = ( 1 x 220 ) / 220

GCD(1, 220) = 220 / 220

GCD(1, 220) = 1

GCD of 829, 122, 16, 220 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 925, 813, 67, 578
• GCD of 900, 161, 21, 490
• GCD of 404, 982, 79, 555
• GCD of 125, 805, 56, 153
• GCD of 345, 330, 17, 305

1. What is the GCD of 829, 122, 16, 220?

GCD of 829, 122, 16, 220 is 1

2. Where do I get the detailed procedure to find GCD of 829, 122, 16, 220?

You can find a detailed procedure to find GCD of 829, 122, 16, 220 on our page.

3. How to find GCD of 829, 122, 16, 220 on a calculator?

You can find the GCD of 829, 122, 16, 220 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.