GCD of 516, 669, 968, 516 Calculator

Given Input numbers are 516, 669, 968, 516

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

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 669

List of positive integer divisors of 669 that divides 669 without a remainder.

1, 3, 223, 669

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

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

Greatest Common Divisior

We found the divisors of 516, 669, 968, 516 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 516, 669, 968, 516 is 1.

Therefore, GCD of numbers 516, 669, 968, 516 is 1

Given Input Data is 516, 669, 968, 516

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

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 669 is 3 x 223

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

Prime Factorization of 516 is 2 x 2 x 3 x 43

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(516, 669) = 115068

GCD(516, 669) = ( 516 x 669 ) / 115068

GCD(516, 669) = 345204 / 115068

GCD(516, 669) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 968

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

LCM(3, 968) = 2904

GCD(3, 968) = ( 3 x 968 ) / 2904

GCD(3, 968) = 2904 / 2904

GCD(3, 968) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 516

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

LCM(1, 516) = 516

GCD(1, 516) = ( 1 x 516 ) / 516

GCD(1, 516) = 516 / 516

GCD(1, 516) = 1

GCD of 516, 669, 968, 516 is 1

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1. What is the GCD of 516, 669, 968, 516?

GCD of 516, 669, 968, 516 is 1

2. Where do I get the detailed procedure to find GCD of 516, 669, 968, 516?

You can find a detailed procedure to find GCD of 516, 669, 968, 516 on our page.

3. How to find GCD of 516, 669, 968, 516 on a calculator?

You can find the GCD of 516, 669, 968, 516 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.