GCD of 299, 753, 663, 661 Calculator

Given Input numbers are 299, 753, 663, 661

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

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Divisors of 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 661

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

1, 661

Greatest Common Divisior

We found the divisors of 299, 753, 663, 661 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 299, 753, 663, 661 is 1.

Therefore, GCD of numbers 299, 753, 663, 661 is 1

Given Input Data is 299, 753, 663, 661

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

Prime Factorization of 299 is 13 x 23

Prime Factorization of 753 is 3 x 251

Prime Factorization of 663 is 3 x 13 x 17

Prime Factorization of 661 is 661

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(299, 753) = 225147

GCD(299, 753) = ( 299 x 753 ) / 225147

GCD(299, 753) = 225147 / 225147

GCD(299, 753) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 663

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

LCM(1, 663) = 663

GCD(1, 663) = ( 1 x 663 ) / 663

GCD(1, 663) = 663 / 663

GCD(1, 663) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 661

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

LCM(1, 661) = 661

GCD(1, 661) = ( 1 x 661 ) / 661

GCD(1, 661) = 661 / 661

GCD(1, 661) = 1

GCD of 299, 753, 663, 661 is 1

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1. What is the GCD of 299, 753, 663, 661?

GCD of 299, 753, 663, 661 is 1

2. Where do I get the detailed procedure to find GCD of 299, 753, 663, 661?

You can find a detailed procedure to find GCD of 299, 753, 663, 661 on our page.

3. How to find GCD of 299, 753, 663, 661 on a calculator?

You can find the GCD of 299, 753, 663, 661 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.