GCD of 136, 724, 104, 193 Calculator

Given Input numbers are 136, 724, 104, 193

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 136

List of positive integer divisors of 136 that divides 136 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 193

List of positive integer divisors of 193 that divides 193 without a remainder.

1, 193

Greatest Common Divisior

We found the divisors of 136, 724, 104, 193 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 136, 724, 104, 193 is 1.

Therefore, GCD of numbers 136, 724, 104, 193 is 1

Given Input Data is 136, 724, 104, 193

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 136 is 2 x 2 x 2 x 17

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 193 is 193

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(136, 724) = 24616

GCD(136, 724) = ( 136 x 724 ) / 24616

GCD(136, 724) = 98464 / 24616

GCD(136, 724) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 104

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

LCM(4, 104) = 104

GCD(4, 104) = ( 4 x 104 ) / 104

GCD(4, 104) = 416 / 104

GCD(4, 104) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 193

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

LCM(4, 193) = 772

GCD(4, 193) = ( 4 x 193 ) / 772

GCD(4, 193) = 772 / 772

GCD(4, 193) = 1

GCD of 136, 724, 104, 193 is 1

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1. What is the GCD of 136, 724, 104, 193?

GCD of 136, 724, 104, 193 is 1

2. Where do I get the detailed procedure to find GCD of 136, 724, 104, 193?

You can find a detailed procedure to find GCD of 136, 724, 104, 193 on our page.

3. How to find GCD of 136, 724, 104, 193 on a calculator?

You can find the GCD of 136, 724, 104, 193 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.