GCD of 143, 598, 61, 508 Calculator

Given Input numbers are 143, 598, 61, 508

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

Divisors of 143

List of positive integer divisors of 143 that divides 143 without a remainder.

1, 11, 13, 143

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 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Greatest Common Divisior

We found the divisors of 143, 598, 61, 508 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 143, 598, 61, 508 is 1.

Therefore, GCD of numbers 143, 598, 61, 508 is 1

Given Input Data is 143, 598, 61, 508

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

Prime Factorization of 143 is 11 x 13

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 61 is 61

Prime Factorization of 508 is 2 x 2 x 127

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(143, 598) = 6578

GCD(143, 598) = ( 143 x 598 ) / 6578

GCD(143, 598) = 85514 / 6578

GCD(143, 598) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 61

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

LCM(13, 61) = 793

GCD(13, 61) = ( 13 x 61 ) / 793

GCD(13, 61) = 793 / 793

GCD(13, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 508

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

LCM(1, 508) = 508

GCD(1, 508) = ( 1 x 508 ) / 508

GCD(1, 508) = 508 / 508

GCD(1, 508) = 1

GCD of 143, 598, 61, 508 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 974, 354, 92, 126
• GCD of 252, 525, 28, 552
• GCD of 220, 676, 32, 195
• GCD of 271, 558, 91, 272
• GCD of 756, 746, 85, 322

1. What is the GCD of 143, 598, 61, 508?

GCD of 143, 598, 61, 508 is 1

2. Where do I get the detailed procedure to find GCD of 143, 598, 61, 508?

You can find a detailed procedure to find GCD of 143, 598, 61, 508 on our page.

3. How to find GCD of 143, 598, 61, 508 on a calculator?

You can find the GCD of 143, 598, 61, 508 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.