GCD of 135, 552, 490 Calculator

Given Input numbers are 135, 552, 490

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

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Greatest Common Divisior

We found the divisors of 135, 552, 490 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 135, 552, 490 is 1.

Therefore, GCD of numbers 135, 552, 490 is 1

Given Input Data is 135, 552, 490

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

Prime Factorization of 135 is 3 x 3 x 3 x 5

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

Prime Factorization of 490 is 2 x 5 x 7 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(135, 552) = 24840

GCD(135, 552) = ( 135 x 552 ) / 24840

GCD(135, 552) = 74520 / 24840

GCD(135, 552) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 490

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

LCM(3, 490) = 1470

GCD(3, 490) = ( 3 x 490 ) / 1470

GCD(3, 490) = 1470 / 1470

GCD(3, 490) = 1

GCD of 135, 552, 490 is 1

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1. What is the GCD of 135, 552, 490?

GCD of 135, 552, 490 is 1

2. Where do I get the detailed procedure to find GCD of 135, 552, 490?

You can find a detailed procedure to find GCD of 135, 552, 490 on our page.

3. How to find GCD of 135, 552, 490 on a calculator?

You can find the GCD of 135, 552, 490 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.