GCD of 735, 386, 598, 358 Calculator

Given Input numbers are 735, 386, 598, 358

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

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 386

List of positive integer divisors of 386 that divides 386 without a remainder.

1, 2, 193, 386

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 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 735, 386, 598, 358 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 386, 598, 358 is 1.

Therefore, GCD of numbers 735, 386, 598, 358 is 1

Given Input Data is 735, 386, 598, 358

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

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 386 is 2 x 193

Prime Factorization of 598 is 2 x 13 x 23

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(735, 386) = 283710

GCD(735, 386) = ( 735 x 386 ) / 283710

GCD(735, 386) = 283710 / 283710

GCD(735, 386) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 598

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

LCM(1, 598) = 598

GCD(1, 598) = ( 1 x 598 ) / 598

GCD(1, 598) = 598 / 598

GCD(1, 598) = 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 735, 386, 598, 358 is 1

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1. What is the GCD of 735, 386, 598, 358?

GCD of 735, 386, 598, 358 is 1

2. Where do I get the detailed procedure to find GCD of 735, 386, 598, 358?

You can find a detailed procedure to find GCD of 735, 386, 598, 358 on our page.

3. How to find GCD of 735, 386, 598, 358 on a calculator?

You can find the GCD of 735, 386, 598, 358 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.