GCD of 904, 586, 91, 400 Calculator

Given Input numbers are 904, 586, 91, 400

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 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Greatest Common Divisior

We found the divisors of 904, 586, 91, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 904, 586, 91, 400 is 1.

Therefore, GCD of numbers 904, 586, 91, 400 is 1

Given Input Data is 904, 586, 91, 400

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 586 is 2 x 293

Prime Factorization of 91 is 7 x 13

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

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, 586) = 264872

GCD(904, 586) = ( 904 x 586 ) / 264872

GCD(904, 586) = 529744 / 264872

GCD(904, 586) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 91

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

LCM(2, 91) = 182

GCD(2, 91) = ( 2 x 91 ) / 182

GCD(2, 91) = 182 / 182

GCD(2, 91) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 400

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

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

GCD(1, 400) = 400 / 400

GCD(1, 400) = 1

GCD of 904, 586, 91, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 491, 233, 99, 298
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• GCD of 590, 904, 46, 336
• GCD of 812, 904, 98, 332
• GCD of 117, 654, 93, 123

1. What is the GCD of 904, 586, 91, 400?

GCD of 904, 586, 91, 400 is 1

2. Where do I get the detailed procedure to find GCD of 904, 586, 91, 400?

You can find a detailed procedure to find GCD of 904, 586, 91, 400 on our page.

3. How to find GCD of 904, 586, 91, 400 on a calculator?

You can find the GCD of 904, 586, 91, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.