GCD of 204, 726, 93, 742 Calculator

Given Input numbers are 204, 726, 93, 742

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

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 93

List of positive integer divisors of 93 that divides 93 without a remainder.

1, 3, 31, 93

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Greatest Common Divisior

We found the divisors of 204, 726, 93, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 726, 93, 742 is 1.

Therefore, GCD of numbers 204, 726, 93, 742 is 1

Given Input Data is 204, 726, 93, 742

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

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 726 is 2 x 3 x 11 x 11

Prime Factorization of 93 is 3 x 31

Prime Factorization of 742 is 2 x 7 x 53

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(204, 726) = 24684

GCD(204, 726) = ( 204 x 726 ) / 24684

GCD(204, 726) = 148104 / 24684

GCD(204, 726) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 93

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

LCM(6, 93) = 186

GCD(6, 93) = ( 6 x 93 ) / 186

GCD(6, 93) = 558 / 186

GCD(6, 93) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 742

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

LCM(3, 742) = 2226

GCD(3, 742) = ( 3 x 742 ) / 2226

GCD(3, 742) = 2226 / 2226

GCD(3, 742) = 1

GCD of 204, 726, 93, 742 is 1

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1. What is the GCD of 204, 726, 93, 742?

GCD of 204, 726, 93, 742 is 1

2. Where do I get the detailed procedure to find GCD of 204, 726, 93, 742?

You can find a detailed procedure to find GCD of 204, 726, 93, 742 on our page.

3. How to find GCD of 204, 726, 93, 742 on a calculator?

You can find the GCD of 204, 726, 93, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.