GCD of 318, 722, 66, 570 Calculator

Given Input numbers are 318, 722, 66, 570

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

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 570

List of positive integer divisors of 570 that divides 570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Greatest Common Divisior

We found the divisors of 318, 722, 66, 570 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 318, 722, 66, 570 is 2.

Therefore, GCD of numbers 318, 722, 66, 570 is 2

Given Input Data is 318, 722, 66, 570

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

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 570 is 2 x 3 x 5 x 19

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(318, 722) = 114798

GCD(318, 722) = ( 318 x 722 ) / 114798

GCD(318, 722) = 229596 / 114798

GCD(318, 722) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 66

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

LCM(2, 66) = 66

GCD(2, 66) = ( 2 x 66 ) / 66

GCD(2, 66) = 132 / 66

GCD(2, 66) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 570

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

LCM(2, 570) = 570

GCD(2, 570) = ( 2 x 570 ) / 570

GCD(2, 570) = 1140 / 570

GCD(2, 570) = 2

GCD of 318, 722, 66, 570 is 2

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1. What is the GCD of 318, 722, 66, 570?

GCD of 318, 722, 66, 570 is 2

2. Where do I get the detailed procedure to find GCD of 318, 722, 66, 570?

You can find a detailed procedure to find GCD of 318, 722, 66, 570 on our page.

3. How to find GCD of 318, 722, 66, 570 on a calculator?

You can find the GCD of 318, 722, 66, 570 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.