GCD of 497, 355, 559, 894 Calculator

Given Input numbers are 497, 355, 559, 894

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

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Greatest Common Divisior

We found the divisors of 497, 355, 559, 894 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 497, 355, 559, 894 is 1.

Therefore, GCD of numbers 497, 355, 559, 894 is 1

Given Input Data is 497, 355, 559, 894

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

Prime Factorization of 497 is 7 x 71

Prime Factorization of 355 is 5 x 71

Prime Factorization of 559 is 13 x 43

Prime Factorization of 894 is 2 x 3 x 149

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(497, 355) = 2485

GCD(497, 355) = ( 497 x 355 ) / 2485

GCD(497, 355) = 176435 / 2485

GCD(497, 355) = 71

Step2:

Here we consider the GCD from the above i.e. 71 as first number and the next as 559

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

LCM(71, 559) = 39689

GCD(71, 559) = ( 71 x 559 ) / 39689

GCD(71, 559) = 39689 / 39689

GCD(71, 559) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 894

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

LCM(1, 894) = 894

GCD(1, 894) = ( 1 x 894 ) / 894

GCD(1, 894) = 894 / 894

GCD(1, 894) = 1

GCD of 497, 355, 559, 894 is 1

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1. What is the GCD of 497, 355, 559, 894?

GCD of 497, 355, 559, 894 is 1

2. Where do I get the detailed procedure to find GCD of 497, 355, 559, 894?

You can find a detailed procedure to find GCD of 497, 355, 559, 894 on our page.

3. How to find GCD of 497, 355, 559, 894 on a calculator?

You can find the GCD of 497, 355, 559, 894 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.