GCD of 726, 423, 235, 372 Calculator

Given Input numbers are 726, 423, 235, 372

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

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 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 235

List of positive integer divisors of 235 that divides 235 without a remainder.

1, 5, 47, 235

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Greatest Common Divisior

We found the divisors of 726, 423, 235, 372 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 726, 423, 235, 372 is 1.

Therefore, GCD of numbers 726, 423, 235, 372 is 1

Given Input Data is 726, 423, 235, 372

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

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

Prime Factorization of 423 is 3 x 3 x 47

Prime Factorization of 235 is 5 x 47

Prime Factorization of 372 is 2 x 2 x 3 x 31

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(726, 423) = 102366

GCD(726, 423) = ( 726 x 423 ) / 102366

GCD(726, 423) = 307098 / 102366

GCD(726, 423) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 235

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

LCM(3, 235) = 705

GCD(3, 235) = ( 3 x 235 ) / 705

GCD(3, 235) = 705 / 705

GCD(3, 235) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 372

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

LCM(1, 372) = 372

GCD(1, 372) = ( 1 x 372 ) / 372

GCD(1, 372) = 372 / 372

GCD(1, 372) = 1

GCD of 726, 423, 235, 372 is 1

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• GCD of 200, 235, 385, 502
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1. What is the GCD of 726, 423, 235, 372?

GCD of 726, 423, 235, 372 is 1

2. Where do I get the detailed procedure to find GCD of 726, 423, 235, 372?

You can find a detailed procedure to find GCD of 726, 423, 235, 372 on our page.

3. How to find GCD of 726, 423, 235, 372 on a calculator?

You can find the GCD of 726, 423, 235, 372 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.