GCD of 580, 894, 921, 174 Calculator

Given Input numbers are 580, 894, 921, 174

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

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Divisors of 174

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

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

Greatest Common Divisior

We found the divisors of 580, 894, 921, 174 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 580, 894, 921, 174 is 1.

Therefore, GCD of numbers 580, 894, 921, 174 is 1

Given Input Data is 580, 894, 921, 174

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

Prime Factorization of 580 is 2 x 2 x 5 x 29

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 921 is 3 x 307

Prime Factorization of 174 is 2 x 3 x 29

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(580, 894) = 259260

GCD(580, 894) = ( 580 x 894 ) / 259260

GCD(580, 894) = 518520 / 259260

GCD(580, 894) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 921

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

LCM(2, 921) = 1842

GCD(2, 921) = ( 2 x 921 ) / 1842

GCD(2, 921) = 1842 / 1842

GCD(2, 921) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 174

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

LCM(1, 174) = 174

GCD(1, 174) = ( 1 x 174 ) / 174

GCD(1, 174) = 174 / 174

GCD(1, 174) = 1

GCD of 580, 894, 921, 174 is 1

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• GCD of 941, 659, 762, 752
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• GCD of 149, 416, 237, 946
• GCD of 378, 619, 434, 302

1. What is the GCD of 580, 894, 921, 174?

GCD of 580, 894, 921, 174 is 1

2. Where do I get the detailed procedure to find GCD of 580, 894, 921, 174?

You can find a detailed procedure to find GCD of 580, 894, 921, 174 on our page.

3. How to find GCD of 580, 894, 921, 174 on a calculator?

You can find the GCD of 580, 894, 921, 174 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.