GCD of 369, 505, 106, 159 Calculator

Given Input numbers are 369, 505, 106, 159

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

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Greatest Common Divisior

We found the divisors of 369, 505, 106, 159 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 505, 106, 159 is 1.

Therefore, GCD of numbers 369, 505, 106, 159 is 1

Given Input Data is 369, 505, 106, 159

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

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 505 is 5 x 101

Prime Factorization of 106 is 2 x 53

Prime Factorization of 159 is 3 x 53

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(369, 505) = 186345

GCD(369, 505) = ( 369 x 505 ) / 186345

GCD(369, 505) = 186345 / 186345

GCD(369, 505) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 106

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

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

GCD(1, 106) = 106 / 106

GCD(1, 106) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 159

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

LCM(1, 159) = 159

GCD(1, 159) = ( 1 x 159 ) / 159

GCD(1, 159) = 159 / 159

GCD(1, 159) = 1

GCD of 369, 505, 106, 159 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 940, 954, 297, 431
• GCD of 453, 896, 723, 549
• GCD of 542, 172, 291, 937
• GCD of 116, 176, 818, 509
• GCD of 504, 848, 160, 342

1. What is the GCD of 369, 505, 106, 159?

GCD of 369, 505, 106, 159 is 1

2. Where do I get the detailed procedure to find GCD of 369, 505, 106, 159?

You can find a detailed procedure to find GCD of 369, 505, 106, 159 on our page.

3. How to find GCD of 369, 505, 106, 159 on a calculator?

You can find the GCD of 369, 505, 106, 159 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.