GCD of 154, 598, 506, 613 Calculator

Given Input numbers are 154, 598, 506, 613

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

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

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 613

List of positive integer divisors of 613 that divides 613 without a remainder.

1, 613

Greatest Common Divisior

We found the divisors of 154, 598, 506, 613 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 154, 598, 506, 613 is 1.

Therefore, GCD of numbers 154, 598, 506, 613 is 1

Given Input Data is 154, 598, 506, 613

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

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 613 is 613

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(154, 598) = 46046

GCD(154, 598) = ( 154 x 598 ) / 46046

GCD(154, 598) = 92092 / 46046

GCD(154, 598) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 506

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

LCM(2, 506) = 506

GCD(2, 506) = ( 2 x 506 ) / 506

GCD(2, 506) = 1012 / 506

GCD(2, 506) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 613

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

LCM(2, 613) = 1226

GCD(2, 613) = ( 2 x 613 ) / 1226

GCD(2, 613) = 1226 / 1226

GCD(2, 613) = 1

GCD of 154, 598, 506, 613 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 472, 254, 961, 586
• GCD of 437, 954, 939, 942
• GCD of 610, 296, 749, 563
• GCD of 552, 947, 258, 477
• GCD of 915, 136, 937, 336

1. What is the GCD of 154, 598, 506, 613?

GCD of 154, 598, 506, 613 is 1

2. Where do I get the detailed procedure to find GCD of 154, 598, 506, 613?

You can find a detailed procedure to find GCD of 154, 598, 506, 613 on our page.

3. How to find GCD of 154, 598, 506, 613 on a calculator?

You can find the GCD of 154, 598, 506, 613 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.