GCD of 135, 351, 681, 223 Calculator

Given Input numbers are 135, 351, 681, 223

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 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 681

List of positive integer divisors of 681 that divides 681 without a remainder.

1, 3, 227, 681

Divisors of 223

List of positive integer divisors of 223 that divides 223 without a remainder.

1, 223

Greatest Common Divisior

We found the divisors of 135, 351, 681, 223 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 135, 351, 681, 223 is 1.

Therefore, GCD of numbers 135, 351, 681, 223 is 1

Given Input Data is 135, 351, 681, 223

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 351 is 3 x 3 x 3 x 13

Prime Factorization of 681 is 3 x 227

Prime Factorization of 223 is 223

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, 351) = 1755

GCD(135, 351) = ( 135 x 351 ) / 1755

GCD(135, 351) = 47385 / 1755

GCD(135, 351) = 27

Step2:

Here we consider the GCD from the above i.e. 27 as first number and the next as 681

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

LCM(27, 681) = 6129

GCD(27, 681) = ( 27 x 681 ) / 6129

GCD(27, 681) = 18387 / 6129

GCD(27, 681) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 223

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

LCM(3, 223) = 669

GCD(3, 223) = ( 3 x 223 ) / 669

GCD(3, 223) = 669 / 669

GCD(3, 223) = 1

GCD of 135, 351, 681, 223 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 251, 125, 368, 379
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• GCD of 233, 314, 731, 557
• GCD of 669, 493, 710, 673
• GCD of 739, 926, 971, 565

1. What is the GCD of 135, 351, 681, 223?

GCD of 135, 351, 681, 223 is 1

2. Where do I get the detailed procedure to find GCD of 135, 351, 681, 223?

You can find a detailed procedure to find GCD of 135, 351, 681, 223 on our page.

3. How to find GCD of 135, 351, 681, 223 on a calculator?

You can find the GCD of 135, 351, 681, 223 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.