GCD of 900, 298, 122, 827 Calculator

Given Input numbers are 900, 298, 122, 827

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 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Greatest Common Divisior

We found the divisors of 900, 298, 122, 827 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 298, 122, 827 is 1.

Therefore, GCD of numbers 900, 298, 122, 827 is 1

Given Input Data is 900, 298, 122, 827

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 298 is 2 x 149

Prime Factorization of 122 is 2 x 61

Prime Factorization of 827 is 827

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, 298) = 134100

GCD(900, 298) = ( 900 x 298 ) / 134100

GCD(900, 298) = 268200 / 134100

GCD(900, 298) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 122

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

LCM(2, 122) = 122

GCD(2, 122) = ( 2 x 122 ) / 122

GCD(2, 122) = 244 / 122

GCD(2, 122) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 827

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

LCM(2, 827) = 1654

GCD(2, 827) = ( 2 x 827 ) / 1654

GCD(2, 827) = 1654 / 1654

GCD(2, 827) = 1

GCD of 900, 298, 122, 827 is 1

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1. What is the GCD of 900, 298, 122, 827?

GCD of 900, 298, 122, 827 is 1

2. Where do I get the detailed procedure to find GCD of 900, 298, 122, 827?

You can find a detailed procedure to find GCD of 900, 298, 122, 827 on our page.

3. How to find GCD of 900, 298, 122, 827 on a calculator?

You can find the GCD of 900, 298, 122, 827 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.