GCD of 663, 516, 347, 734 Calculator

Given Input numbers are 663, 516, 347, 734

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 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 347

List of positive integer divisors of 347 that divides 347 without a remainder.

1, 347

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Greatest Common Divisior

We found the divisors of 663, 516, 347, 734 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 663, 516, 347, 734 is 1.

Therefore, GCD of numbers 663, 516, 347, 734 is 1

Given Input Data is 663, 516, 347, 734

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 516 is 2 x 2 x 3 x 43

Prime Factorization of 347 is 347

Prime Factorization of 734 is 2 x 367

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, 516) = 114036

GCD(663, 516) = ( 663 x 516 ) / 114036

GCD(663, 516) = 342108 / 114036

GCD(663, 516) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 347

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

LCM(3, 347) = 1041

GCD(3, 347) = ( 3 x 347 ) / 1041

GCD(3, 347) = 1041 / 1041

GCD(3, 347) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 734

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

LCM(1, 734) = 734

GCD(1, 734) = ( 1 x 734 ) / 734

GCD(1, 734) = 734 / 734

GCD(1, 734) = 1

GCD of 663, 516, 347, 734 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 495, 100, 476, 112
• GCD of 173, 429, 754, 449
• GCD of 748, 127, 195, 993
• GCD of 780, 311, 796, 867
• GCD of 643, 562, 171, 741

1. What is the GCD of 663, 516, 347, 734?

GCD of 663, 516, 347, 734 is 1

2. Where do I get the detailed procedure to find GCD of 663, 516, 347, 734?

You can find a detailed procedure to find GCD of 663, 516, 347, 734 on our page.

3. How to find GCD of 663, 516, 347, 734 on a calculator?

You can find the GCD of 663, 516, 347, 734 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.