GCD of 461, 638, 87, 904 Calculator

Given Input numbers are 461, 638, 87, 904

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

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 904

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

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

Greatest Common Divisior

We found the divisors of 461, 638, 87, 904 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 461, 638, 87, 904 is 1.

Therefore, GCD of numbers 461, 638, 87, 904 is 1

Given Input Data is 461, 638, 87, 904

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

Prime Factorization of 461 is 461

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 87 is 3 x 29

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

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(461, 638) = 294118

GCD(461, 638) = ( 461 x 638 ) / 294118

GCD(461, 638) = 294118 / 294118

GCD(461, 638) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 87

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

LCM(1, 87) = 87

GCD(1, 87) = ( 1 x 87 ) / 87

GCD(1, 87) = 87 / 87

GCD(1, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 904

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

LCM(1, 904) = 904

GCD(1, 904) = ( 1 x 904 ) / 904

GCD(1, 904) = 904 / 904

GCD(1, 904) = 1

GCD of 461, 638, 87, 904 is 1

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1. What is the GCD of 461, 638, 87, 904?

GCD of 461, 638, 87, 904 is 1

2. Where do I get the detailed procedure to find GCD of 461, 638, 87, 904?

You can find a detailed procedure to find GCD of 461, 638, 87, 904 on our page.

3. How to find GCD of 461, 638, 87, 904 on a calculator?

You can find the GCD of 461, 638, 87, 904 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.