GCD of 663, 998, 262, 768 Calculator

Given Input numbers are 663, 998, 262, 768

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

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 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 262

List of positive integer divisors of 262 that divides 262 without a remainder.

1, 2, 131, 262

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Greatest Common Divisior

We found the divisors of 663, 998, 262, 768 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 663, 998, 262, 768 is 1.

Therefore, GCD of numbers 663, 998, 262, 768 is 1

Given Input Data is 663, 998, 262, 768

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

Prime Factorization of 663 is 3 x 13 x 17

Prime Factorization of 998 is 2 x 499

Prime Factorization of 262 is 2 x 131

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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(663, 998) = 661674

GCD(663, 998) = ( 663 x 998 ) / 661674

GCD(663, 998) = 661674 / 661674

GCD(663, 998) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 262

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

LCM(1, 262) = 262

GCD(1, 262) = ( 1 x 262 ) / 262

GCD(1, 262) = 262 / 262

GCD(1, 262) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 768

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

LCM(1, 768) = 768

GCD(1, 768) = ( 1 x 768 ) / 768

GCD(1, 768) = 768 / 768

GCD(1, 768) = 1

GCD of 663, 998, 262, 768 is 1

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1. What is the GCD of 663, 998, 262, 768?

GCD of 663, 998, 262, 768 is 1

2. Where do I get the detailed procedure to find GCD of 663, 998, 262, 768?

You can find a detailed procedure to find GCD of 663, 998, 262, 768 on our page.

3. How to find GCD of 663, 998, 262, 768 on a calculator?

You can find the GCD of 663, 998, 262, 768 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.