GCD of 275, 510, 342, 990 Calculator

Given Input numbers are 275, 510, 342, 990

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

Divisors of 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

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 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Greatest Common Divisior

We found the divisors of 275, 510, 342, 990 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 275, 510, 342, 990 is 1.

Therefore, GCD of numbers 275, 510, 342, 990 is 1

Given Input Data is 275, 510, 342, 990

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

Prime Factorization of 275 is 5 x 5 x 11

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

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

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(275, 510) = 28050

GCD(275, 510) = ( 275 x 510 ) / 28050

GCD(275, 510) = 140250 / 28050

GCD(275, 510) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 342

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

LCM(5, 342) = 1710

GCD(5, 342) = ( 5 x 342 ) / 1710

GCD(5, 342) = 1710 / 1710

GCD(5, 342) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 990

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

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

GCD(1, 990) = 990 / 990

GCD(1, 990) = 1

GCD of 275, 510, 342, 990 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 511, 332, 908, 971
• GCD of 269, 793, 274, 237
• GCD of 298, 245, 463, 610
• GCD of 419, 929, 509, 566
• GCD of 254, 126, 231, 274

1. What is the GCD of 275, 510, 342, 990?

GCD of 275, 510, 342, 990 is 1

2. Where do I get the detailed procedure to find GCD of 275, 510, 342, 990?

You can find a detailed procedure to find GCD of 275, 510, 342, 990 on our page.

3. How to find GCD of 275, 510, 342, 990 on a calculator?

You can find the GCD of 275, 510, 342, 990 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.