GCD of 900, 807, 697, 558 Calculator

Given Input numbers are 900, 807, 697, 558

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

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Greatest Common Divisior

We found the divisors of 900, 807, 697, 558 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 807, 697, 558 is 1.

Therefore, GCD of numbers 900, 807, 697, 558 is 1

Given Input Data is 900, 807, 697, 558

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

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 807 is 3 x 269

Prime Factorization of 697 is 17 x 41

Prime Factorization of 558 is 2 x 3 x 3 x 31

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(900, 807) = 242100

GCD(900, 807) = ( 900 x 807 ) / 242100

GCD(900, 807) = 726300 / 242100

GCD(900, 807) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 697

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

LCM(3, 697) = 2091

GCD(3, 697) = ( 3 x 697 ) / 2091

GCD(3, 697) = 2091 / 2091

GCD(3, 697) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 558

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

LCM(1, 558) = 558

GCD(1, 558) = ( 1 x 558 ) / 558

GCD(1, 558) = 558 / 558

GCD(1, 558) = 1

GCD of 900, 807, 697, 558 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 798, 377, 507, 271
• GCD of 510, 461, 133, 610
• GCD of 337, 459, 749, 896
• GCD of 127, 770, 419, 533
• GCD of 990, 897, 180, 197

1. What is the GCD of 900, 807, 697, 558?

GCD of 900, 807, 697, 558 is 1

2. Where do I get the detailed procedure to find GCD of 900, 807, 697, 558?

You can find a detailed procedure to find GCD of 900, 807, 697, 558 on our page.

3. How to find GCD of 900, 807, 697, 558 on a calculator?

You can find the GCD of 900, 807, 697, 558 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.