GCD of 661, 446, 518, 823 Calculator

Given Input numbers are 661, 446, 518, 823

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

Divisors of 661

List of positive integer divisors of 661 that divides 661 without a remainder.

1, 661

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Greatest Common Divisior

We found the divisors of 661, 446, 518, 823 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 661, 446, 518, 823 is 1.

Therefore, GCD of numbers 661, 446, 518, 823 is 1

Given Input Data is 661, 446, 518, 823

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

Prime Factorization of 661 is 661

Prime Factorization of 446 is 2 x 223

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 823 is 823

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(661, 446) = 294806

GCD(661, 446) = ( 661 x 446 ) / 294806

GCD(661, 446) = 294806 / 294806

GCD(661, 446) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 518

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

LCM(1, 518) = 518

GCD(1, 518) = ( 1 x 518 ) / 518

GCD(1, 518) = 518 / 518

GCD(1, 518) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 823

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

LCM(1, 823) = 823

GCD(1, 823) = ( 1 x 823 ) / 823

GCD(1, 823) = 823 / 823

GCD(1, 823) = 1

GCD of 661, 446, 518, 823 is 1

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1. What is the GCD of 661, 446, 518, 823?

GCD of 661, 446, 518, 823 is 1

2. Where do I get the detailed procedure to find GCD of 661, 446, 518, 823?

You can find a detailed procedure to find GCD of 661, 446, 518, 823 on our page.

3. How to find GCD of 661, 446, 518, 823 on a calculator?

You can find the GCD of 661, 446, 518, 823 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.