GCD of 400, 660, 345, 768 Calculator

Given Input numbers are 400, 660, 345, 768

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

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

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

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

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 400, 660, 345, 768 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 660, 345, 768 is 1.

Therefore, GCD of numbers 400, 660, 345, 768 is 1

Given Input Data is 400, 660, 345, 768

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

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 345 is 3 x 5 x 23

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(400, 660) = 13200

GCD(400, 660) = ( 400 x 660 ) / 13200

GCD(400, 660) = 264000 / 13200

GCD(400, 660) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 345

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

LCM(20, 345) = 1380

GCD(20, 345) = ( 20 x 345 ) / 1380

GCD(20, 345) = 6900 / 1380

GCD(20, 345) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 768

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

LCM(5, 768) = 3840

GCD(5, 768) = ( 5 x 768 ) / 3840

GCD(5, 768) = 3840 / 3840

GCD(5, 768) = 1

GCD of 400, 660, 345, 768 is 1

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1. What is the GCD of 400, 660, 345, 768?

GCD of 400, 660, 345, 768 is 1

2. Where do I get the detailed procedure to find GCD of 400, 660, 345, 768?

You can find a detailed procedure to find GCD of 400, 660, 345, 768 on our page.

3. How to find GCD of 400, 660, 345, 768 on a calculator?

You can find the GCD of 400, 660, 345, 768 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.