GCD of 264, 510, 83, 162 Calculator

Given Input numbers are 264, 510, 83, 162

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

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Greatest Common Divisior

We found the divisors of 264, 510, 83, 162 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 264, 510, 83, 162 is 1.

Therefore, GCD of numbers 264, 510, 83, 162 is 1

Given Input Data is 264, 510, 83, 162

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

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 510 is 2 x 3 x 5 x 17

Prime Factorization of 83 is 83

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

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(264, 510) = 22440

GCD(264, 510) = ( 264 x 510 ) / 22440

GCD(264, 510) = 134640 / 22440

GCD(264, 510) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 83

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

LCM(6, 83) = 498

GCD(6, 83) = ( 6 x 83 ) / 498

GCD(6, 83) = 498 / 498

GCD(6, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 162

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

LCM(1, 162) = 162

GCD(1, 162) = ( 1 x 162 ) / 162

GCD(1, 162) = 162 / 162

GCD(1, 162) = 1

GCD of 264, 510, 83, 162 is 1

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• GCD of 869, 615, 89, 968
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1. What is the GCD of 264, 510, 83, 162?

GCD of 264, 510, 83, 162 is 1

2. Where do I get the detailed procedure to find GCD of 264, 510, 83, 162?

You can find a detailed procedure to find GCD of 264, 510, 83, 162 on our page.

3. How to find GCD of 264, 510, 83, 162 on a calculator?

You can find the GCD of 264, 510, 83, 162 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.