GCD of 171, 820, 402, 904 Calculator

Given Input numbers are 171, 820, 402, 904

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

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

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 171, 820, 402, 904 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 171, 820, 402, 904 is 1.

Therefore, GCD of numbers 171, 820, 402, 904 is 1

Given Input Data is 171, 820, 402, 904

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

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 402 is 2 x 3 x 67

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(171, 820) = 140220

GCD(171, 820) = ( 171 x 820 ) / 140220

GCD(171, 820) = 140220 / 140220

GCD(171, 820) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 402

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

LCM(1, 402) = 402

GCD(1, 402) = ( 1 x 402 ) / 402

GCD(1, 402) = 402 / 402

GCD(1, 402) = 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 171, 820, 402, 904 is 1

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1. What is the GCD of 171, 820, 402, 904?

GCD of 171, 820, 402, 904 is 1

2. Where do I get the detailed procedure to find GCD of 171, 820, 402, 904?

You can find a detailed procedure to find GCD of 171, 820, 402, 904 on our page.

3. How to find GCD of 171, 820, 402, 904 on a calculator?

You can find the GCD of 171, 820, 402, 904 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.