GCD of 164, 542, 530, 660 Calculator

Given Input numbers are 164, 542, 530, 660

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

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Divisors of 530

List of positive integer divisors of 530 that divides 530 without a remainder.

1, 2, 5, 10, 53, 106, 265, 530

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 164, 542, 530, 660 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 164, 542, 530, 660 is 2.

Therefore, GCD of numbers 164, 542, 530, 660 is 2

Given Input Data is 164, 542, 530, 660

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

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 542 is 2 x 271

Prime Factorization of 530 is 2 x 5 x 53

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

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(164, 542) = 44444

GCD(164, 542) = ( 164 x 542 ) / 44444

GCD(164, 542) = 88888 / 44444

GCD(164, 542) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 530

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

LCM(2, 530) = 530

GCD(2, 530) = ( 2 x 530 ) / 530

GCD(2, 530) = 1060 / 530

GCD(2, 530) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 660

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

LCM(2, 660) = 660

GCD(2, 660) = ( 2 x 660 ) / 660

GCD(2, 660) = 1320 / 660

GCD(2, 660) = 2

GCD of 164, 542, 530, 660 is 2

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• GCD of 217, 303, 322, 843
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• GCD of 476, 722, 888, 162

1. What is the GCD of 164, 542, 530, 660?

GCD of 164, 542, 530, 660 is 2

2. Where do I get the detailed procedure to find GCD of 164, 542, 530, 660?

You can find a detailed procedure to find GCD of 164, 542, 530, 660 on our page.

3. How to find GCD of 164, 542, 530, 660 on a calculator?

You can find the GCD of 164, 542, 530, 660 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.