GCD of 790, 708, 474, 899 Calculator

Given Input numbers are 790, 708, 474, 899

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 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Greatest Common Divisior

We found the divisors of 790, 708, 474, 899 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 790, 708, 474, 899 is 1.

Therefore, GCD of numbers 790, 708, 474, 899 is 1

Given Input Data is 790, 708, 474, 899

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 708 is 2 x 2 x 3 x 59

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 899 is 29 x 31

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, 708) = 279660

GCD(790, 708) = ( 790 x 708 ) / 279660

GCD(790, 708) = 559320 / 279660

GCD(790, 708) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 474

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

LCM(2, 474) = 474

GCD(2, 474) = ( 2 x 474 ) / 474

GCD(2, 474) = 948 / 474

GCD(2, 474) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 899

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

LCM(2, 899) = 1798

GCD(2, 899) = ( 2 x 899 ) / 1798

GCD(2, 899) = 1798 / 1798

GCD(2, 899) = 1

GCD of 790, 708, 474, 899 is 1

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1. What is the GCD of 790, 708, 474, 899?

GCD of 790, 708, 474, 899 is 1

2. Where do I get the detailed procedure to find GCD of 790, 708, 474, 899?

You can find a detailed procedure to find GCD of 790, 708, 474, 899 on our page.

3. How to find GCD of 790, 708, 474, 899 on a calculator?

You can find the GCD of 790, 708, 474, 899 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.