GCD of 199, 225, 919, 122 Calculator

Given Input numbers are 199, 225, 919, 122

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

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

Divisors of 122

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

1, 2, 61, 122

Greatest Common Divisior

We found the divisors of 199, 225, 919, 122 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 199, 225, 919, 122 is 1.

Therefore, GCD of numbers 199, 225, 919, 122 is 1

Given Input Data is 199, 225, 919, 122

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

Prime Factorization of 199 is 199

Prime Factorization of 225 is 3 x 3 x 5 x 5

Prime Factorization of 919 is 919

Prime Factorization of 122 is 2 x 61

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(199, 225) = 44775

GCD(199, 225) = ( 199 x 225 ) / 44775

GCD(199, 225) = 44775 / 44775

GCD(199, 225) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 919

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

LCM(1, 919) = 919

GCD(1, 919) = ( 1 x 919 ) / 919

GCD(1, 919) = 919 / 919

GCD(1, 919) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 122

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

LCM(1, 122) = 122

GCD(1, 122) = ( 1 x 122 ) / 122

GCD(1, 122) = 122 / 122

GCD(1, 122) = 1

GCD of 199, 225, 919, 122 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 902, 195, 410, 265
• GCD of 449, 604, 196, 703
• GCD of 592, 548, 291, 894
• GCD of 464, 223, 318, 968
• GCD of 137, 452, 246, 141

1. What is the GCD of 199, 225, 919, 122?

GCD of 199, 225, 919, 122 is 1

2. Where do I get the detailed procedure to find GCD of 199, 225, 919, 122?

You can find a detailed procedure to find GCD of 199, 225, 919, 122 on our page.

3. How to find GCD of 199, 225, 919, 122 on a calculator?

You can find the GCD of 199, 225, 919, 122 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.