GCD of 608, 526, 404, 135 Calculator

Given Input numbers are 608, 526, 404, 135

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

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 526

List of positive integer divisors of 526 that divides 526 without a remainder.

1, 2, 263, 526

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Divisors of 135

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

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

Greatest Common Divisior

We found the divisors of 608, 526, 404, 135 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 608, 526, 404, 135 is 1.

Therefore, GCD of numbers 608, 526, 404, 135 is 1

Given Input Data is 608, 526, 404, 135

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

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

Prime Factorization of 526 is 2 x 263

Prime Factorization of 404 is 2 x 2 x 101

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

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(608, 526) = 159904

GCD(608, 526) = ( 608 x 526 ) / 159904

GCD(608, 526) = 319808 / 159904

GCD(608, 526) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 404

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

LCM(2, 404) = 404

GCD(2, 404) = ( 2 x 404 ) / 404

GCD(2, 404) = 808 / 404

GCD(2, 404) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 135

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

LCM(2, 135) = 270

GCD(2, 135) = ( 2 x 135 ) / 270

GCD(2, 135) = 270 / 270

GCD(2, 135) = 1

GCD of 608, 526, 404, 135 is 1

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1. What is the GCD of 608, 526, 404, 135?

GCD of 608, 526, 404, 135 is 1

2. Where do I get the detailed procedure to find GCD of 608, 526, 404, 135?

You can find a detailed procedure to find GCD of 608, 526, 404, 135 on our page.

3. How to find GCD of 608, 526, 404, 135 on a calculator?

You can find the GCD of 608, 526, 404, 135 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.