GCD of 221, 291, 49, 456 Calculator

Given Input numbers are 221, 291, 49, 456

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

Divisors of 221

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

1, 13, 17, 221

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Greatest Common Divisior

We found the divisors of 221, 291, 49, 456 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 221, 291, 49, 456 is 1.

Therefore, GCD of numbers 221, 291, 49, 456 is 1

Given Input Data is 221, 291, 49, 456

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

Prime Factorization of 221 is 13 x 17

Prime Factorization of 291 is 3 x 97

Prime Factorization of 49 is 7 x 7

Prime Factorization of 456 is 2 x 2 x 2 x 3 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(221, 291) = 64311

GCD(221, 291) = ( 221 x 291 ) / 64311

GCD(221, 291) = 64311 / 64311

GCD(221, 291) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 456

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

LCM(1, 456) = 456

GCD(1, 456) = ( 1 x 456 ) / 456

GCD(1, 456) = 456 / 456

GCD(1, 456) = 1

GCD of 221, 291, 49, 456 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 911, 346, 95, 329
• GCD of 265, 736, 66, 304
• GCD of 492, 818, 88, 745
• GCD of 505, 651, 97, 427
• GCD of 977, 568, 20, 784

1. What is the GCD of 221, 291, 49, 456?

GCD of 221, 291, 49, 456 is 1

2. Where do I get the detailed procedure to find GCD of 221, 291, 49, 456?

You can find a detailed procedure to find GCD of 221, 291, 49, 456 on our page.

3. How to find GCD of 221, 291, 49, 456 on a calculator?

You can find the GCD of 221, 291, 49, 456 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.