GCD of 361, 295, 221, 849 Calculator

Given Input numbers are 361, 295, 221, 849

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

Divisors of 361

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

1, 19, 361

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Greatest Common Divisior

We found the divisors of 361, 295, 221, 849 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 361, 295, 221, 849 is 1.

Therefore, GCD of numbers 361, 295, 221, 849 is 1

Given Input Data is 361, 295, 221, 849

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

Prime Factorization of 361 is 19 x 19

Prime Factorization of 295 is 5 x 59

Prime Factorization of 221 is 13 x 17

Prime Factorization of 849 is 3 x 283

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(361, 295) = 106495

GCD(361, 295) = ( 361 x 295 ) / 106495

GCD(361, 295) = 106495 / 106495

GCD(361, 295) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 221

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

LCM(1, 221) = 221

GCD(1, 221) = ( 1 x 221 ) / 221

GCD(1, 221) = 221 / 221

GCD(1, 221) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 849

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

LCM(1, 849) = 849

GCD(1, 849) = ( 1 x 849 ) / 849

GCD(1, 849) = 849 / 849

GCD(1, 849) = 1

GCD of 361, 295, 221, 849 is 1

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• GCD of 300, 406, 802, 697
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1. What is the GCD of 361, 295, 221, 849?

GCD of 361, 295, 221, 849 is 1

2. Where do I get the detailed procedure to find GCD of 361, 295, 221, 849?

You can find a detailed procedure to find GCD of 361, 295, 221, 849 on our page.

3. How to find GCD of 361, 295, 221, 849 on a calculator?

You can find the GCD of 361, 295, 221, 849 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.