GCD of 909, 654, 99, 913 Calculator

Given Input numbers are 909, 654, 99, 913

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

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 99

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

1, 3, 9, 11, 33, 99

Divisors of 913

List of positive integer divisors of 913 that divides 913 without a remainder.

1, 11, 83, 913

Greatest Common Divisior

We found the divisors of 909, 654, 99, 913 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 909, 654, 99, 913 is 1.

Therefore, GCD of numbers 909, 654, 99, 913 is 1

Given Input Data is 909, 654, 99, 913

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

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 913 is 11 x 83

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(909, 654) = 198162

GCD(909, 654) = ( 909 x 654 ) / 198162

GCD(909, 654) = 594486 / 198162

GCD(909, 654) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 99

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

LCM(3, 99) = 99

GCD(3, 99) = ( 3 x 99 ) / 99

GCD(3, 99) = 297 / 99

GCD(3, 99) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 913

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

LCM(3, 913) = 2739

GCD(3, 913) = ( 3 x 913 ) / 2739

GCD(3, 913) = 2739 / 2739

GCD(3, 913) = 1

GCD of 909, 654, 99, 913 is 1

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• GCD of 437, 507, 12, 969
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• GCD of 471, 273, 57, 372

1. What is the GCD of 909, 654, 99, 913?

GCD of 909, 654, 99, 913 is 1

2. Where do I get the detailed procedure to find GCD of 909, 654, 99, 913?

You can find a detailed procedure to find GCD of 909, 654, 99, 913 on our page.

3. How to find GCD of 909, 654, 99, 913 on a calculator?

You can find the GCD of 909, 654, 99, 913 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.