GCD of 135, 238, 866, 302 Calculator

Given Input numbers are 135, 238, 866, 302

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 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 866

List of positive integer divisors of 866 that divides 866 without a remainder.

1, 2, 433, 866

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Greatest Common Divisior

We found the divisors of 135, 238, 866, 302 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 135, 238, 866, 302 is 1.

Therefore, GCD of numbers 135, 238, 866, 302 is 1

Given Input Data is 135, 238, 866, 302

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 238 is 2 x 7 x 17

Prime Factorization of 866 is 2 x 433

Prime Factorization of 302 is 2 x 151

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, 238) = 32130

GCD(135, 238) = ( 135 x 238 ) / 32130

GCD(135, 238) = 32130 / 32130

GCD(135, 238) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 866

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

LCM(1, 866) = 866

GCD(1, 866) = ( 1 x 866 ) / 866

GCD(1, 866) = 866 / 866

GCD(1, 866) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 302

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

LCM(1, 302) = 302

GCD(1, 302) = ( 1 x 302 ) / 302

GCD(1, 302) = 302 / 302

GCD(1, 302) = 1

GCD of 135, 238, 866, 302 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 437, 738, 796, 680
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• GCD of 741, 875, 316, 833

1. What is the GCD of 135, 238, 866, 302?

GCD of 135, 238, 866, 302 is 1

2. Where do I get the detailed procedure to find GCD of 135, 238, 866, 302?

You can find a detailed procedure to find GCD of 135, 238, 866, 302 on our page.

3. How to find GCD of 135, 238, 866, 302 on a calculator?

You can find the GCD of 135, 238, 866, 302 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.