GCD of 510, 273, 35, 612 Calculator

Given Input numbers are 510, 273, 35, 612

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 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Greatest Common Divisior

We found the divisors of 510, 273, 35, 612 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 510, 273, 35, 612 is 1.

Therefore, GCD of numbers 510, 273, 35, 612 is 1

Given Input Data is 510, 273, 35, 612

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 273 is 3 x 7 x 13

Prime Factorization of 35 is 5 x 7

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

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, 273) = 46410

GCD(510, 273) = ( 510 x 273 ) / 46410

GCD(510, 273) = 139230 / 46410

GCD(510, 273) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 35

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

LCM(3, 35) = 105

GCD(3, 35) = ( 3 x 35 ) / 105

GCD(3, 35) = 105 / 105

GCD(3, 35) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 612

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

LCM(1, 612) = 612

GCD(1, 612) = ( 1 x 612 ) / 612

GCD(1, 612) = 612 / 612

GCD(1, 612) = 1

GCD of 510, 273, 35, 612 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 417, 138, 90, 771
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• GCD of 987, 121, 87, 291
• GCD of 180, 334, 68, 947

1. What is the GCD of 510, 273, 35, 612?

GCD of 510, 273, 35, 612 is 1

2. Where do I get the detailed procedure to find GCD of 510, 273, 35, 612?

You can find a detailed procedure to find GCD of 510, 273, 35, 612 on our page.

3. How to find GCD of 510, 273, 35, 612 on a calculator?

You can find the GCD of 510, 273, 35, 612 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.