GCD of 61, 809, 913, 900 Calculator

Given Input numbers are 61, 809, 913, 900

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

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

Divisors of 913

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

1, 11, 83, 913

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

Greatest Common Divisior

We found the divisors of 61, 809, 913, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 61, 809, 913, 900 is 1.

Therefore, GCD of numbers 61, 809, 913, 900 is 1

Given Input Data is 61, 809, 913, 900

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

Prime Factorization of 61 is 61

Prime Factorization of 809 is 809

Prime Factorization of 913 is 11 x 83

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

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(61, 809) = 49349

GCD(61, 809) = ( 61 x 809 ) / 49349

GCD(61, 809) = 49349 / 49349

GCD(61, 809) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 913

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

LCM(1, 913) = 913

GCD(1, 913) = ( 1 x 913 ) / 913

GCD(1, 913) = 913 / 913

GCD(1, 913) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 900

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

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

GCD(1, 900) = 900 / 900

GCD(1, 900) = 1

GCD of 61, 809, 913, 900 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 54, 405, 186, 932
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• GCD of 92, 499, 583, 777
• GCD of 24, 265, 481, 348
• GCD of 70, 871, 584, 919

1. What is the GCD of 61, 809, 913, 900?

GCD of 61, 809, 913, 900 is 1

2. Where do I get the detailed procedure to find GCD of 61, 809, 913, 900?

You can find a detailed procedure to find GCD of 61, 809, 913, 900 on our page.

3. How to find GCD of 61, 809, 913, 900 on a calculator?

You can find the GCD of 61, 809, 913, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.