GCD of 991, 562, 41, 204 Calculator

Given Input numbers are 991, 562, 41, 204

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

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Greatest Common Divisior

We found the divisors of 991, 562, 41, 204 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 991, 562, 41, 204 is 1.

Therefore, GCD of numbers 991, 562, 41, 204 is 1

Given Input Data is 991, 562, 41, 204

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

Prime Factorization of 991 is 991

Prime Factorization of 562 is 2 x 281

Prime Factorization of 41 is 41

Prime Factorization of 204 is 2 x 2 x 3 x 17

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(991, 562) = 556942

GCD(991, 562) = ( 991 x 562 ) / 556942

GCD(991, 562) = 556942 / 556942

GCD(991, 562) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 41

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

LCM(1, 41) = 41

GCD(1, 41) = ( 1 x 41 ) / 41

GCD(1, 41) = 41 / 41

GCD(1, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 204

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

LCM(1, 204) = 204

GCD(1, 204) = ( 1 x 204 ) / 204

GCD(1, 204) = 204 / 204

GCD(1, 204) = 1

GCD of 991, 562, 41, 204 is 1

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1. What is the GCD of 991, 562, 41, 204?

GCD of 991, 562, 41, 204 is 1

2. Where do I get the detailed procedure to find GCD of 991, 562, 41, 204?

You can find a detailed procedure to find GCD of 991, 562, 41, 204 on our page.

3. How to find GCD of 991, 562, 41, 204 on a calculator?

You can find the GCD of 991, 562, 41, 204 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.