GCD of 904, 774, 58, 919 Calculator

Given Input numbers are 904, 774, 58, 919

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

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

Greatest Common Divisior

We found the divisors of 904, 774, 58, 919 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 904, 774, 58, 919 is 1.

Therefore, GCD of numbers 904, 774, 58, 919 is 1

Given Input Data is 904, 774, 58, 919

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

Prime Factorization of 904 is 2 x 2 x 2 x 113

Prime Factorization of 774 is 2 x 3 x 3 x 43

Prime Factorization of 58 is 2 x 29

Prime Factorization of 919 is 919

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(904, 774) = 349848

GCD(904, 774) = ( 904 x 774 ) / 349848

GCD(904, 774) = 699696 / 349848

GCD(904, 774) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 58

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

LCM(2, 58) = 58

GCD(2, 58) = ( 2 x 58 ) / 58

GCD(2, 58) = 116 / 58

GCD(2, 58) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 919

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

LCM(2, 919) = 1838

GCD(2, 919) = ( 2 x 919 ) / 1838

GCD(2, 919) = 1838 / 1838

GCD(2, 919) = 1

GCD of 904, 774, 58, 919 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 447, 202, 63, 714
• GCD of 576, 339, 17, 110
• GCD of 262, 402, 58, 864
• GCD of 672, 319, 89, 879
• GCD of 637, 774, 57, 365

1. What is the GCD of 904, 774, 58, 919?

GCD of 904, 774, 58, 919 is 1

2. Where do I get the detailed procedure to find GCD of 904, 774, 58, 919?

You can find a detailed procedure to find GCD of 904, 774, 58, 919 on our page.

3. How to find GCD of 904, 774, 58, 919 on a calculator?

You can find the GCD of 904, 774, 58, 919 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.