GCD of 790, 914, 174, 567 Calculator

Given Input numbers are 790, 914, 174, 567

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 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Greatest Common Divisior

We found the divisors of 790, 914, 174, 567 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 790, 914, 174, 567 is 1.

Therefore, GCD of numbers 790, 914, 174, 567 is 1

Given Input Data is 790, 914, 174, 567

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 914 is 2 x 457

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7

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, 914) = 361030

GCD(790, 914) = ( 790 x 914 ) / 361030

GCD(790, 914) = 722060 / 361030

GCD(790, 914) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 174

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

LCM(2, 174) = 174

GCD(2, 174) = ( 2 x 174 ) / 174

GCD(2, 174) = 348 / 174

GCD(2, 174) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 567

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

LCM(2, 567) = 1134

GCD(2, 567) = ( 2 x 567 ) / 1134

GCD(2, 567) = 1134 / 1134

GCD(2, 567) = 1

GCD of 790, 914, 174, 567 is 1

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1. What is the GCD of 790, 914, 174, 567?

GCD of 790, 914, 174, 567 is 1

2. Where do I get the detailed procedure to find GCD of 790, 914, 174, 567?

You can find a detailed procedure to find GCD of 790, 914, 174, 567 on our page.

3. How to find GCD of 790, 914, 174, 567 on a calculator?

You can find the GCD of 790, 914, 174, 567 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.