GCD of 34, 506, 169, 612 Calculator

Given Input numbers are 34, 506, 169, 612

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

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 169

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

1, 13, 169

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Greatest Common Divisior

We found the divisors of 34, 506, 169, 612 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 506, 169, 612 is 1.

Therefore, GCD of numbers 34, 506, 169, 612 is 1

Given Input Data is 34, 506, 169, 612

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

Prime Factorization of 34 is 2 x 17

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 169 is 13 x 13

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

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(34, 506) = 8602

GCD(34, 506) = ( 34 x 506 ) / 8602

GCD(34, 506) = 17204 / 8602

GCD(34, 506) = 2

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 612

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

LCM(1, 612) = 612

GCD(1, 612) = ( 1 x 612 ) / 612

GCD(1, 612) = 612 / 612

GCD(1, 612) = 1

GCD of 34, 506, 169, 612 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 24, 526, 803, 278
• GCD of 20, 169, 866, 124
• GCD of 97, 828, 193, 122
• GCD of 80, 463, 356, 393
• GCD of 15, 956, 175, 945

1. What is the GCD of 34, 506, 169, 612?

GCD of 34, 506, 169, 612 is 1

2. Where do I get the detailed procedure to find GCD of 34, 506, 169, 612?

You can find a detailed procedure to find GCD of 34, 506, 169, 612 on our page.

3. How to find GCD of 34, 506, 169, 612 on a calculator?

You can find the GCD of 34, 506, 169, 612 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.