GCD of 135, 490, 511, 657 Calculator

Given Input numbers are 135, 490, 511, 657

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 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

Divisors of 511

List of positive integer divisors of 511 that divides 511 without a remainder.

1, 7, 73, 511

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Greatest Common Divisior

We found the divisors of 135, 490, 511, 657 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 135, 490, 511, 657 is 1.

Therefore, GCD of numbers 135, 490, 511, 657 is 1

Given Input Data is 135, 490, 511, 657

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 490 is 2 x 5 x 7 x 7

Prime Factorization of 511 is 7 x 73

Prime Factorization of 657 is 3 x 3 x 73

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, 490) = 13230

GCD(135, 490) = ( 135 x 490 ) / 13230

GCD(135, 490) = 66150 / 13230

GCD(135, 490) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 511

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

LCM(5, 511) = 2555

GCD(5, 511) = ( 5 x 511 ) / 2555

GCD(5, 511) = 2555 / 2555

GCD(5, 511) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 657

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

LCM(1, 657) = 657

GCD(1, 657) = ( 1 x 657 ) / 657

GCD(1, 657) = 657 / 657

GCD(1, 657) = 1

GCD of 135, 490, 511, 657 is 1

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1. What is the GCD of 135, 490, 511, 657?

GCD of 135, 490, 511, 657 is 1

2. Where do I get the detailed procedure to find GCD of 135, 490, 511, 657?

You can find a detailed procedure to find GCD of 135, 490, 511, 657 on our page.

3. How to find GCD of 135, 490, 511, 657 on a calculator?

You can find the GCD of 135, 490, 511, 657 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.