GCD of 904, 601, 505, 165 Calculator

Given Input numbers are 904, 601, 505, 165

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 601

List of positive integer divisors of 601 that divides 601 without a remainder.

1, 601

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Greatest Common Divisior

We found the divisors of 904, 601, 505, 165 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 904, 601, 505, 165 is 1.

Therefore, GCD of numbers 904, 601, 505, 165 is 1

Given Input Data is 904, 601, 505, 165

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 601 is 601

Prime Factorization of 505 is 5 x 101

Prime Factorization of 165 is 3 x 5 x 11

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, 601) = 543304

GCD(904, 601) = ( 904 x 601 ) / 543304

GCD(904, 601) = 543304 / 543304

GCD(904, 601) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 505

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

LCM(1, 505) = 505

GCD(1, 505) = ( 1 x 505 ) / 505

GCD(1, 505) = 505 / 505

GCD(1, 505) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 165

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

LCM(1, 165) = 165

GCD(1, 165) = ( 1 x 165 ) / 165

GCD(1, 165) = 165 / 165

GCD(1, 165) = 1

GCD of 904, 601, 505, 165 is 1

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1. What is the GCD of 904, 601, 505, 165?

GCD of 904, 601, 505, 165 is 1

2. Where do I get the detailed procedure to find GCD of 904, 601, 505, 165?

You can find a detailed procedure to find GCD of 904, 601, 505, 165 on our page.

3. How to find GCD of 904, 601, 505, 165 on a calculator?

You can find the GCD of 904, 601, 505, 165 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.