GCD of 726, 557, 994 Calculator

Given Input numbers are 726, 557, 994

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 557

List of positive integer divisors of 557 that divides 557 without a remainder.

1, 557

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Greatest Common Divisior

We found the divisors of 726, 557, 994 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 726, 557, 994 is 1.

Therefore, GCD of numbers 726, 557, 994 is 1

Given Input Data is 726, 557, 994

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 557 is 557

Prime Factorization of 994 is 2 x 7 x 71

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, 557) = 404382

GCD(726, 557) = ( 726 x 557 ) / 404382

GCD(726, 557) = 404382 / 404382

GCD(726, 557) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 994

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

LCM(1, 994) = 994

GCD(1, 994) = ( 1 x 994 ) / 994

GCD(1, 994) = 994 / 994

GCD(1, 994) = 1

GCD of 726, 557, 994 is 1

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1. What is the GCD of 726, 557, 994?

GCD of 726, 557, 994 is 1

2. Where do I get the detailed procedure to find GCD of 726, 557, 994?

You can find a detailed procedure to find GCD of 726, 557, 994 on our page.

3. How to find GCD of 726, 557, 994 on a calculator?

You can find the GCD of 726, 557, 994 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.