GCD of 264, 669, 505, 842 Calculator

Given Input numbers are 264, 669, 505, 842

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

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 669

List of positive integer divisors of 669 that divides 669 without a remainder.

1, 3, 223, 669

Divisors of 505

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

1, 5, 101, 505

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Greatest Common Divisior

We found the divisors of 264, 669, 505, 842 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 264, 669, 505, 842 is 1.

Therefore, GCD of numbers 264, 669, 505, 842 is 1

Given Input Data is 264, 669, 505, 842

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

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 669 is 3 x 223

Prime Factorization of 505 is 5 x 101

Prime Factorization of 842 is 2 x 421

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(264, 669) = 58872

GCD(264, 669) = ( 264 x 669 ) / 58872

GCD(264, 669) = 176616 / 58872

GCD(264, 669) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 505

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

LCM(3, 505) = 1515

GCD(3, 505) = ( 3 x 505 ) / 1515

GCD(3, 505) = 1515 / 1515

GCD(3, 505) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 842

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

LCM(1, 842) = 842

GCD(1, 842) = ( 1 x 842 ) / 842

GCD(1, 842) = 842 / 842

GCD(1, 842) = 1

GCD of 264, 669, 505, 842 is 1

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1. What is the GCD of 264, 669, 505, 842?

GCD of 264, 669, 505, 842 is 1

2. Where do I get the detailed procedure to find GCD of 264, 669, 505, 842?

You can find a detailed procedure to find GCD of 264, 669, 505, 842 on our page.

3. How to find GCD of 264, 669, 505, 842 on a calculator?

You can find the GCD of 264, 669, 505, 842 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.