GCD of 726, 185, 922 Calculator

Given Input numbers are 726, 185, 922

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 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Divisors of 922

List of positive integer divisors of 922 that divides 922 without a remainder.

1, 2, 461, 922

Greatest Common Divisior

We found the divisors of 726, 185, 922 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 726, 185, 922 is 1.

Therefore, GCD of numbers 726, 185, 922 is 1

Given Input Data is 726, 185, 922

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 185 is 5 x 37

Prime Factorization of 922 is 2 x 461

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, 185) = 134310

GCD(726, 185) = ( 726 x 185 ) / 134310

GCD(726, 185) = 134310 / 134310

GCD(726, 185) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 922

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

LCM(1, 922) = 922

GCD(1, 922) = ( 1 x 922 ) / 922

GCD(1, 922) = 922 / 922

GCD(1, 922) = 1

GCD of 726, 185, 922 is 1

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1. What is the GCD of 726, 185, 922?

GCD of 726, 185, 922 is 1

2. Where do I get the detailed procedure to find GCD of 726, 185, 922?

You can find a detailed procedure to find GCD of 726, 185, 922 on our page.

3. How to find GCD of 726, 185, 922 on a calculator?

You can find the GCD of 726, 185, 922 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.