GCD of 599, 742, 496, 726 Calculator

Given Input numbers are 599, 742, 496, 726

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

Divisors of 599

List of positive integer divisors of 599 that divides 599 without a remainder.

1, 599

Divisors of 742

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

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

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

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

Greatest Common Divisior

We found the divisors of 599, 742, 496, 726 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 599, 742, 496, 726 is 1.

Therefore, GCD of numbers 599, 742, 496, 726 is 1

Given Input Data is 599, 742, 496, 726

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

Prime Factorization of 599 is 599

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

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

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(599, 742) = 444458

GCD(599, 742) = ( 599 x 742 ) / 444458

GCD(599, 742) = 444458 / 444458

GCD(599, 742) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 496

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

LCM(1, 496) = 496

GCD(1, 496) = ( 1 x 496 ) / 496

GCD(1, 496) = 496 / 496

GCD(1, 496) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 726

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

LCM(1, 726) = 726

GCD(1, 726) = ( 1 x 726 ) / 726

GCD(1, 726) = 726 / 726

GCD(1, 726) = 1

GCD of 599, 742, 496, 726 is 1

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1. What is the GCD of 599, 742, 496, 726?

GCD of 599, 742, 496, 726 is 1

2. Where do I get the detailed procedure to find GCD of 599, 742, 496, 726?

You can find a detailed procedure to find GCD of 599, 742, 496, 726 on our page.

3. How to find GCD of 599, 742, 496, 726 on a calculator?

You can find the GCD of 599, 742, 496, 726 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.