GCD of 20, 158, 796, 169 Calculator

Given Input numbers are 20, 158, 796, 169

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

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 158

List of positive integer divisors of 158 that divides 158 without a remainder.

1, 2, 79, 158

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Greatest Common Divisior

We found the divisors of 20, 158, 796, 169 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 158, 796, 169 is 1.

Therefore, GCD of numbers 20, 158, 796, 169 is 1

Given Input Data is 20, 158, 796, 169

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

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 158 is 2 x 79

Prime Factorization of 796 is 2 x 2 x 199

Prime Factorization of 169 is 13 x 13

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(20, 158) = 1580

GCD(20, 158) = ( 20 x 158 ) / 1580

GCD(20, 158) = 3160 / 1580

GCD(20, 158) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 796

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

LCM(2, 796) = 796

GCD(2, 796) = ( 2 x 796 ) / 796

GCD(2, 796) = 1592 / 796

GCD(2, 796) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 169

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

LCM(2, 169) = 338

GCD(2, 169) = ( 2 x 169 ) / 338

GCD(2, 169) = 338 / 338

GCD(2, 169) = 1

GCD of 20, 158, 796, 169 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 83, 131, 425, 642
• GCD of 42, 942, 754, 559
• GCD of 31, 143, 159, 515
• GCD of 52, 833, 316, 322
• GCD of 98, 686, 964, 740

1. What is the GCD of 20, 158, 796, 169?

GCD of 20, 158, 796, 169 is 1

2. Where do I get the detailed procedure to find GCD of 20, 158, 796, 169?

You can find a detailed procedure to find GCD of 20, 158, 796, 169 on our page.

3. How to find GCD of 20, 158, 796, 169 on a calculator?

You can find the GCD of 20, 158, 796, 169 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.