GCD of 598, 206, 735, 796 Calculator

Given Input numbers are 598, 206, 735, 796

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 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

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 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Greatest Common Divisior

We found the divisors of 598, 206, 735, 796 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 598, 206, 735, 796 is 1.

Therefore, GCD of numbers 598, 206, 735, 796 is 1

Given Input Data is 598, 206, 735, 796

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 206 is 2 x 103

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

Prime Factorization of 796 is 2 x 2 x 199

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, 206) = 61594

GCD(598, 206) = ( 598 x 206 ) / 61594

GCD(598, 206) = 123188 / 61594

GCD(598, 206) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 735

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

LCM(2, 735) = 1470

GCD(2, 735) = ( 2 x 735 ) / 1470

GCD(2, 735) = 1470 / 1470

GCD(2, 735) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 796

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

LCM(1, 796) = 796

GCD(1, 796) = ( 1 x 796 ) / 796

GCD(1, 796) = 796 / 796

GCD(1, 796) = 1

GCD of 598, 206, 735, 796 is 1

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1. What is the GCD of 598, 206, 735, 796?

GCD of 598, 206, 735, 796 is 1

2. Where do I get the detailed procedure to find GCD of 598, 206, 735, 796?

You can find a detailed procedure to find GCD of 598, 206, 735, 796 on our page.

3. How to find GCD of 598, 206, 735, 796 on a calculator?

You can find the GCD of 598, 206, 735, 796 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.