GCD of 510, 683, 310, 162 Calculator

Given Input numbers are 510, 683, 310, 162

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

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 683

List of positive integer divisors of 683 that divides 683 without a remainder.

1, 683

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

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 510, 683, 310, 162 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 510, 683, 310, 162 is 1.

Therefore, GCD of numbers 510, 683, 310, 162 is 1

Given Input Data is 510, 683, 310, 162

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

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

Prime Factorization of 683 is 683

Prime Factorization of 310 is 2 x 5 x 31

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(510, 683) = 348330

GCD(510, 683) = ( 510 x 683 ) / 348330

GCD(510, 683) = 348330 / 348330

GCD(510, 683) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 310

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

LCM(1, 310) = 310

GCD(1, 310) = ( 1 x 310 ) / 310

GCD(1, 310) = 310 / 310

GCD(1, 310) = 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 510, 683, 310, 162 is 1

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1. What is the GCD of 510, 683, 310, 162?

GCD of 510, 683, 310, 162 is 1

2. Where do I get the detailed procedure to find GCD of 510, 683, 310, 162?

You can find a detailed procedure to find GCD of 510, 683, 310, 162 on our page.

3. How to find GCD of 510, 683, 310, 162 on a calculator?

You can find the GCD of 510, 683, 310, 162 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.