GCD of 708, 522, 660 Calculator

Given Input numbers are 708, 522, 660

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

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Greatest Common Divisior

We found the divisors of 708, 522, 660 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 522, 660 is 6.

Therefore, GCD of numbers 708, 522, 660 is 6

Given Input Data is 708, 522, 660

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

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 522 is 2 x 3 x 3 x 29

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(708, 522) = 61596

GCD(708, 522) = ( 708 x 522 ) / 61596

GCD(708, 522) = 369576 / 61596

GCD(708, 522) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 660

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

LCM(6, 660) = 660

GCD(6, 660) = ( 6 x 660 ) / 660

GCD(6, 660) = 3960 / 660

GCD(6, 660) = 6

GCD of 708, 522, 660 is 6

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1. What is the GCD of 708, 522, 660?

GCD of 708, 522, 660 is 6

2. Where do I get the detailed procedure to find GCD of 708, 522, 660?

You can find a detailed procedure to find GCD of 708, 522, 660 on our page.

3. How to find GCD of 708, 522, 660 on a calculator?

You can find the GCD of 708, 522, 660 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.