GCD of 142, 338, 599, 918 Calculator

Given Input numbers are 142, 338, 599, 918

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

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 599

List of positive integer divisors of 599 that divides 599 without a remainder.

1, 599

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Greatest Common Divisior

We found the divisors of 142, 338, 599, 918 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 338, 599, 918 is 1.

Therefore, GCD of numbers 142, 338, 599, 918 is 1

Given Input Data is 142, 338, 599, 918

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

Prime Factorization of 142 is 2 x 71

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 599 is 599

Prime Factorization of 918 is 2 x 3 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(142, 338) = 23998

GCD(142, 338) = ( 142 x 338 ) / 23998

GCD(142, 338) = 47996 / 23998

GCD(142, 338) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 599

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

LCM(2, 599) = 1198

GCD(2, 599) = ( 2 x 599 ) / 1198

GCD(2, 599) = 1198 / 1198

GCD(2, 599) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 918

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

LCM(1, 918) = 918

GCD(1, 918) = ( 1 x 918 ) / 918

GCD(1, 918) = 918 / 918

GCD(1, 918) = 1

GCD of 142, 338, 599, 918 is 1

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1. What is the GCD of 142, 338, 599, 918?

GCD of 142, 338, 599, 918 is 1

2. Where do I get the detailed procedure to find GCD of 142, 338, 599, 918?

You can find a detailed procedure to find GCD of 142, 338, 599, 918 on our page.

3. How to find GCD of 142, 338, 599, 918 on a calculator?

You can find the GCD of 142, 338, 599, 918 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.