GCD of 898, 503, 738, 606 Calculator

Given Input numbers are 898, 503, 738, 606

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

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Divisors of 503

List of positive integer divisors of 503 that divides 503 without a remainder.

1, 503

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 606

List of positive integer divisors of 606 that divides 606 without a remainder.

1, 2, 3, 6, 101, 202, 303, 606

Greatest Common Divisior

We found the divisors of 898, 503, 738, 606 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 898, 503, 738, 606 is 1.

Therefore, GCD of numbers 898, 503, 738, 606 is 1

Given Input Data is 898, 503, 738, 606

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

Prime Factorization of 898 is 2 x 449

Prime Factorization of 503 is 503

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 606 is 2 x 3 x 101

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(898, 503) = 451694

GCD(898, 503) = ( 898 x 503 ) / 451694

GCD(898, 503) = 451694 / 451694

GCD(898, 503) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 738

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

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

GCD(1, 738) = 738 / 738

GCD(1, 738) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 606

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

LCM(1, 606) = 606

GCD(1, 606) = ( 1 x 606 ) / 606

GCD(1, 606) = 606 / 606

GCD(1, 606) = 1

GCD of 898, 503, 738, 606 is 1

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1. What is the GCD of 898, 503, 738, 606?

GCD of 898, 503, 738, 606 is 1

2. Where do I get the detailed procedure to find GCD of 898, 503, 738, 606?

You can find a detailed procedure to find GCD of 898, 503, 738, 606 on our page.

3. How to find GCD of 898, 503, 738, 606 on a calculator?

You can find the GCD of 898, 503, 738, 606 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.