GCD of 790, 390, 420, 598 Calculator

Given Input numbers are 790, 390, 420, 598

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

Divisors of 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

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 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Greatest Common Divisior

We found the divisors of 790, 390, 420, 598 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 790, 390, 420, 598 is 2.

Therefore, GCD of numbers 790, 390, 420, 598 is 2

Given Input Data is 790, 390, 420, 598

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

Prime Factorization of 790 is 2 x 5 x 79

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

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 598 is 2 x 13 x 23

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(790, 390) = 30810

GCD(790, 390) = ( 790 x 390 ) / 30810

GCD(790, 390) = 308100 / 30810

GCD(790, 390) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 420

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

LCM(10, 420) = 420

GCD(10, 420) = ( 10 x 420 ) / 420

GCD(10, 420) = 4200 / 420

GCD(10, 420) = 10

Step3:

Here we consider the GCD from the above i.e. 10 as first number and the next as 598

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

LCM(10, 598) = 2990

GCD(10, 598) = ( 10 x 598 ) / 2990

GCD(10, 598) = 5980 / 2990

GCD(10, 598) = 2

GCD of 790, 390, 420, 598 is 2

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1. What is the GCD of 790, 390, 420, 598?

GCD of 790, 390, 420, 598 is 2

2. Where do I get the detailed procedure to find GCD of 790, 390, 420, 598?

You can find a detailed procedure to find GCD of 790, 390, 420, 598 on our page.

3. How to find GCD of 790, 390, 420, 598 on a calculator?

You can find the GCD of 790, 390, 420, 598 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.