GCD of 790, 420, 113, 390 Calculator

Given Input numbers are 790, 420, 113, 390

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 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 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

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

Greatest Common Divisior

We found the divisors of 790, 420, 113, 390 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 790, 420, 113, 390 is 1.

Therefore, GCD of numbers 790, 420, 113, 390 is 1

Given Input Data is 790, 420, 113, 390

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 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 113 is 113

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

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(790, 420) = 33180

GCD(790, 420) = ( 790 x 420 ) / 33180

GCD(790, 420) = 331800 / 33180

GCD(790, 420) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 113

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

LCM(10, 113) = 1130

GCD(10, 113) = ( 10 x 113 ) / 1130

GCD(10, 113) = 1130 / 1130

GCD(10, 113) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 390

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

LCM(1, 390) = 390

GCD(1, 390) = ( 1 x 390 ) / 390

GCD(1, 390) = 390 / 390

GCD(1, 390) = 1

GCD of 790, 420, 113, 390 is 1

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1. What is the GCD of 790, 420, 113, 390?

GCD of 790, 420, 113, 390 is 1

2. Where do I get the detailed procedure to find GCD of 790, 420, 113, 390?

You can find a detailed procedure to find GCD of 790, 420, 113, 390 on our page.

3. How to find GCD of 790, 420, 113, 390 on a calculator?

You can find the GCD of 790, 420, 113, 390 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.