GCD of 904, 148, 71, 821 Calculator

Given Input numbers are 904, 148, 71, 821

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 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Greatest Common Divisior

We found the divisors of 904, 148, 71, 821 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 904, 148, 71, 821 is 1.

Therefore, GCD of numbers 904, 148, 71, 821 is 1

Given Input Data is 904, 148, 71, 821

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 148 is 2 x 2 x 37

Prime Factorization of 71 is 71

Prime Factorization of 821 is 821

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, 148) = 33448

GCD(904, 148) = ( 904 x 148 ) / 33448

GCD(904, 148) = 133792 / 33448

GCD(904, 148) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 71

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

LCM(4, 71) = 284

GCD(4, 71) = ( 4 x 71 ) / 284

GCD(4, 71) = 284 / 284

GCD(4, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 821

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

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

GCD(1, 821) = 821 / 821

GCD(1, 821) = 1

GCD of 904, 148, 71, 821 is 1

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• GCD of 825, 481, 91, 714
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1. What is the GCD of 904, 148, 71, 821?

GCD of 904, 148, 71, 821 is 1

2. Where do I get the detailed procedure to find GCD of 904, 148, 71, 821?

You can find a detailed procedure to find GCD of 904, 148, 71, 821 on our page.

3. How to find GCD of 904, 148, 71, 821 on a calculator?

You can find the GCD of 904, 148, 71, 821 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.