GCD of 135, 397, 680, 723 Calculator

Given Input numbers are 135, 397, 680, 723

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 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Greatest Common Divisior

We found the divisors of 135, 397, 680, 723 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 135, 397, 680, 723 is 1.

Therefore, GCD of numbers 135, 397, 680, 723 is 1

Given Input Data is 135, 397, 680, 723

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 397 is 397

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 723 is 3 x 241

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, 397) = 53595

GCD(135, 397) = ( 135 x 397 ) / 53595

GCD(135, 397) = 53595 / 53595

GCD(135, 397) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 680

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

LCM(1, 680) = 680

GCD(1, 680) = ( 1 x 680 ) / 680

GCD(1, 680) = 680 / 680

GCD(1, 680) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 723

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

LCM(1, 723) = 723

GCD(1, 723) = ( 1 x 723 ) / 723

GCD(1, 723) = 723 / 723

GCD(1, 723) = 1

GCD of 135, 397, 680, 723 is 1

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• GCD of 172, 830, 746, 287
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1. What is the GCD of 135, 397, 680, 723?

GCD of 135, 397, 680, 723 is 1

2. Where do I get the detailed procedure to find GCD of 135, 397, 680, 723?

You can find a detailed procedure to find GCD of 135, 397, 680, 723 on our page.

3. How to find GCD of 135, 397, 680, 723 on a calculator?

You can find the GCD of 135, 397, 680, 723 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.