GCD of 510, 996, 581, 126 Calculator

Given Input numbers are 510, 996, 581, 126

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 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 581

List of positive integer divisors of 581 that divides 581 without a remainder.

1, 7, 83, 581

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Greatest Common Divisior

We found the divisors of 510, 996, 581, 126 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 510, 996, 581, 126 is 1.

Therefore, GCD of numbers 510, 996, 581, 126 is 1

Given Input Data is 510, 996, 581, 126

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 996 is 2 x 2 x 3 x 83

Prime Factorization of 581 is 7 x 83

Prime Factorization of 126 is 2 x 3 x 3 x 7

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, 996) = 84660

GCD(510, 996) = ( 510 x 996 ) / 84660

GCD(510, 996) = 507960 / 84660

GCD(510, 996) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 581

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

LCM(6, 581) = 3486

GCD(6, 581) = ( 6 x 581 ) / 3486

GCD(6, 581) = 3486 / 3486

GCD(6, 581) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 126

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

LCM(1, 126) = 126

GCD(1, 126) = ( 1 x 126 ) / 126

GCD(1, 126) = 126 / 126

GCD(1, 126) = 1

GCD of 510, 996, 581, 126 is 1

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1. What is the GCD of 510, 996, 581, 126?

GCD of 510, 996, 581, 126 is 1

2. Where do I get the detailed procedure to find GCD of 510, 996, 581, 126?

You can find a detailed procedure to find GCD of 510, 996, 581, 126 on our page.

3. How to find GCD of 510, 996, 581, 126 on a calculator?

You can find the GCD of 510, 996, 581, 126 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.