GCD of 690, 147, 17, 768 Calculator

Given Input numbers are 690, 147, 17, 768

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

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

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 690, 147, 17, 768 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 147, 17, 768 is 1.

Therefore, GCD of numbers 690, 147, 17, 768 is 1

Given Input Data is 690, 147, 17, 768

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

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 17 is 17

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(690, 147) = 33810

GCD(690, 147) = ( 690 x 147 ) / 33810

GCD(690, 147) = 101430 / 33810

GCD(690, 147) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 17

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

LCM(3, 17) = 51

GCD(3, 17) = ( 3 x 17 ) / 51

GCD(3, 17) = 51 / 51

GCD(3, 17) = 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 690, 147, 17, 768 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 129, 715, 19, 831
• GCD of 195, 721, 87, 658
• GCD of 314, 948, 29, 892
• GCD of 499, 821, 20, 848
• GCD of 916, 414, 87, 782

1. What is the GCD of 690, 147, 17, 768?

GCD of 690, 147, 17, 768 is 1

2. Where do I get the detailed procedure to find GCD of 690, 147, 17, 768?

You can find a detailed procedure to find GCD of 690, 147, 17, 768 on our page.

3. How to find GCD of 690, 147, 17, 768 on a calculator?

You can find the GCD of 690, 147, 17, 768 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.