GCD of 598, 390, 535, 358 Calculator

Given Input numbers are 598, 390, 535, 358

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

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 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 535

List of positive integer divisors of 535 that divides 535 without a remainder.

1, 5, 107, 535

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Greatest Common Divisior

We found the divisors of 598, 390, 535, 358 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 598, 390, 535, 358 is 1.

Therefore, GCD of numbers 598, 390, 535, 358 is 1

Given Input Data is 598, 390, 535, 358

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

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 535 is 5 x 107

Prime Factorization of 358 is 2 x 179

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(598, 390) = 8970

GCD(598, 390) = ( 598 x 390 ) / 8970

GCD(598, 390) = 233220 / 8970

GCD(598, 390) = 26

Step2:

Here we consider the GCD from the above i.e. 26 as first number and the next as 535

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

LCM(26, 535) = 13910

GCD(26, 535) = ( 26 x 535 ) / 13910

GCD(26, 535) = 13910 / 13910

GCD(26, 535) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 358

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

LCM(1, 358) = 358

GCD(1, 358) = ( 1 x 358 ) / 358

GCD(1, 358) = 358 / 358

GCD(1, 358) = 1

GCD of 598, 390, 535, 358 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 914, 888, 951, 123
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• GCD of 193, 547, 297, 313

1. What is the GCD of 598, 390, 535, 358?

GCD of 598, 390, 535, 358 is 1

2. Where do I get the detailed procedure to find GCD of 598, 390, 535, 358?

You can find a detailed procedure to find GCD of 598, 390, 535, 358 on our page.

3. How to find GCD of 598, 390, 535, 358 on a calculator?

You can find the GCD of 598, 390, 535, 358 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.