GCD of 699, 572, 305, 660 Calculator

Given Input numbers are 699, 572, 305, 660

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

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Divisors of 572

List of positive integer divisors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Greatest Common Divisior

We found the divisors of 699, 572, 305, 660 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 699, 572, 305, 660 is 1.

Therefore, GCD of numbers 699, 572, 305, 660 is 1

Given Input Data is 699, 572, 305, 660

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

Prime Factorization of 699 is 3 x 233

Prime Factorization of 572 is 2 x 2 x 11 x 13

Prime Factorization of 305 is 5 x 61

Prime Factorization of 660 is 2 x 2 x 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(699, 572) = 399828

GCD(699, 572) = ( 699 x 572 ) / 399828

GCD(699, 572) = 399828 / 399828

GCD(699, 572) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 305

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

LCM(1, 305) = 305

GCD(1, 305) = ( 1 x 305 ) / 305

GCD(1, 305) = 305 / 305

GCD(1, 305) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 660

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

LCM(1, 660) = 660

GCD(1, 660) = ( 1 x 660 ) / 660

GCD(1, 660) = 660 / 660

GCD(1, 660) = 1

GCD of 699, 572, 305, 660 is 1

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1. What is the GCD of 699, 572, 305, 660?

GCD of 699, 572, 305, 660 is 1

2. Where do I get the detailed procedure to find GCD of 699, 572, 305, 660?

You can find a detailed procedure to find GCD of 699, 572, 305, 660 on our page.

3. How to find GCD of 699, 572, 305, 660 on a calculator?

You can find the GCD of 699, 572, 305, 660 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.