GCD of 135, 442, 72, 354 Calculator

Given Input numbers are 135, 442, 72, 354

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 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Greatest Common Divisior

We found the divisors of 135, 442, 72, 354 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 135, 442, 72, 354 is 1.

Therefore, GCD of numbers 135, 442, 72, 354 is 1

Given Input Data is 135, 442, 72, 354

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 442 is 2 x 13 x 17

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 354 is 2 x 3 x 59

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, 442) = 59670

GCD(135, 442) = ( 135 x 442 ) / 59670

GCD(135, 442) = 59670 / 59670

GCD(135, 442) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 354

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

LCM(1, 354) = 354

GCD(1, 354) = ( 1 x 354 ) / 354

GCD(1, 354) = 354 / 354

GCD(1, 354) = 1

GCD of 135, 442, 72, 354 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 331, 588, 57, 100
• GCD of 269, 619, 34, 125
• GCD of 366, 798, 77, 291
• GCD of 383, 971, 81, 184
• GCD of 405, 937, 82, 239

1. What is the GCD of 135, 442, 72, 354?

GCD of 135, 442, 72, 354 is 1

2. Where do I get the detailed procedure to find GCD of 135, 442, 72, 354?

You can find a detailed procedure to find GCD of 135, 442, 72, 354 on our page.

3. How to find GCD of 135, 442, 72, 354 on a calculator?

You can find the GCD of 135, 442, 72, 354 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.