GCD of 224, 991, 266, 361 Calculator

Given Input numbers are 224, 991, 266, 361

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

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 991

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

1, 991

Divisors of 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Greatest Common Divisior

We found the divisors of 224, 991, 266, 361 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 224, 991, 266, 361 is 1.

Therefore, GCD of numbers 224, 991, 266, 361 is 1

Given Input Data is 224, 991, 266, 361

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

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 991 is 991

Prime Factorization of 266 is 2 x 7 x 19

Prime Factorization of 361 is 19 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(224, 991) = 221984

GCD(224, 991) = ( 224 x 991 ) / 221984

GCD(224, 991) = 221984 / 221984

GCD(224, 991) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 266

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

LCM(1, 266) = 266

GCD(1, 266) = ( 1 x 266 ) / 266

GCD(1, 266) = 266 / 266

GCD(1, 266) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 361

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

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

GCD(1, 361) = 361 / 361

GCD(1, 361) = 1

GCD of 224, 991, 266, 361 is 1

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1. What is the GCD of 224, 991, 266, 361?

GCD of 224, 991, 266, 361 is 1

2. Where do I get the detailed procedure to find GCD of 224, 991, 266, 361?

You can find a detailed procedure to find GCD of 224, 991, 266, 361 on our page.

3. How to find GCD of 224, 991, 266, 361 on a calculator?

You can find the GCD of 224, 991, 266, 361 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.