GCD of 135, 736, 142 Calculator

Given Input numbers are 135, 736, 142

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 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Greatest Common Divisior

We found the divisors of 135, 736, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 135, 736, 142 is 1.

Therefore, GCD of numbers 135, 736, 142 is 1

Given Input Data is 135, 736, 142

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 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 142 is 2 x 71

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, 736) = 99360

GCD(135, 736) = ( 135 x 736 ) / 99360

GCD(135, 736) = 99360 / 99360

GCD(135, 736) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1

GCD of 135, 736, 142 is 1

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1. What is the GCD of 135, 736, 142?

GCD of 135, 736, 142 is 1

2. Where do I get the detailed procedure to find GCD of 135, 736, 142?

You can find a detailed procedure to find GCD of 135, 736, 142 on our page.

3. How to find GCD of 135, 736, 142 on a calculator?

You can find the GCD of 135, 736, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.