GCD of 99, 210, 825, 643 Calculator

Given Input numbers are 99, 210, 825, 643

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

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Greatest Common Divisior

We found the divisors of 99, 210, 825, 643 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 210, 825, 643 is 1.

Therefore, GCD of numbers 99, 210, 825, 643 is 1

Given Input Data is 99, 210, 825, 643

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

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 210 is 2 x 3 x 5 x 7

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 643 is 643

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(99, 210) = 6930

GCD(99, 210) = ( 99 x 210 ) / 6930

GCD(99, 210) = 20790 / 6930

GCD(99, 210) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 825

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

LCM(3, 825) = 825

GCD(3, 825) = ( 3 x 825 ) / 825

GCD(3, 825) = 2475 / 825

GCD(3, 825) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 643

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

LCM(3, 643) = 1929

GCD(3, 643) = ( 3 x 643 ) / 1929

GCD(3, 643) = 1929 / 1929

GCD(3, 643) = 1

GCD of 99, 210, 825, 643 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 65, 805, 614, 454
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• GCD of 84, 995, 799, 356
• GCD of 95, 903, 242, 254
• GCD of 14, 366, 955, 723

1. What is the GCD of 99, 210, 825, 643?

GCD of 99, 210, 825, 643 is 1

2. Where do I get the detailed procedure to find GCD of 99, 210, 825, 643?

You can find a detailed procedure to find GCD of 99, 210, 825, 643 on our page.

3. How to find GCD of 99, 210, 825, 643 on a calculator?

You can find the GCD of 99, 210, 825, 643 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.