GCD of 768, 166, 516, 453 Calculator

Given Input numbers are 768, 166, 516, 453

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

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

Divisors of 166

List of positive integer divisors of 166 that divides 166 without a remainder.

1, 2, 83, 166

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 453

List of positive integer divisors of 453 that divides 453 without a remainder.

1, 3, 151, 453

Greatest Common Divisior

We found the divisors of 768, 166, 516, 453 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 768, 166, 516, 453 is 1.

Therefore, GCD of numbers 768, 166, 516, 453 is 1

Given Input Data is 768, 166, 516, 453

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

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

Prime Factorization of 166 is 2 x 83

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

Prime Factorization of 453 is 3 x 151

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(768, 166) = 63744

GCD(768, 166) = ( 768 x 166 ) / 63744

GCD(768, 166) = 127488 / 63744

GCD(768, 166) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 516

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

LCM(2, 516) = 516

GCD(2, 516) = ( 2 x 516 ) / 516

GCD(2, 516) = 1032 / 516

GCD(2, 516) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 453

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

LCM(2, 453) = 906

GCD(2, 453) = ( 2 x 453 ) / 906

GCD(2, 453) = 906 / 906

GCD(2, 453) = 1

GCD of 768, 166, 516, 453 is 1

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1. What is the GCD of 768, 166, 516, 453?

GCD of 768, 166, 516, 453 is 1

2. Where do I get the detailed procedure to find GCD of 768, 166, 516, 453?

You can find a detailed procedure to find GCD of 768, 166, 516, 453 on our page.

3. How to find GCD of 768, 166, 516, 453 on a calculator?

You can find the GCD of 768, 166, 516, 453 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.