GCD of 900, 847, 826, 494 Calculator

Given Input numbers are 900, 847, 826, 494

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 847

List of positive integer divisors of 847 that divides 847 without a remainder.

1, 7, 11, 77, 121, 847

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Greatest Common Divisior

We found the divisors of 900, 847, 826, 494 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 847, 826, 494 is 1.

Therefore, GCD of numbers 900, 847, 826, 494 is 1

Given Input Data is 900, 847, 826, 494

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 847 is 7 x 11 x 11

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 494 is 2 x 13 x 19

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, 847) = 762300

GCD(900, 847) = ( 900 x 847 ) / 762300

GCD(900, 847) = 762300 / 762300

GCD(900, 847) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 826

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

LCM(1, 826) = 826

GCD(1, 826) = ( 1 x 826 ) / 826

GCD(1, 826) = 826 / 826

GCD(1, 826) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 494

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

LCM(1, 494) = 494

GCD(1, 494) = ( 1 x 494 ) / 494

GCD(1, 494) = 494 / 494

GCD(1, 494) = 1

GCD of 900, 847, 826, 494 is 1

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1. What is the GCD of 900, 847, 826, 494?

GCD of 900, 847, 826, 494 is 1

2. Where do I get the detailed procedure to find GCD of 900, 847, 826, 494?

You can find a detailed procedure to find GCD of 900, 847, 826, 494 on our page.

3. How to find GCD of 900, 847, 826, 494 on a calculator?

You can find the GCD of 900, 847, 826, 494 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.