GCD of 440, 396, 21, 274 Calculator

Given Input numbers are 440, 396, 21, 274

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

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Greatest Common Divisior

We found the divisors of 440, 396, 21, 274 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 440, 396, 21, 274 is 1.

Therefore, GCD of numbers 440, 396, 21, 274 is 1

Given Input Data is 440, 396, 21, 274

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

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 21 is 3 x 7

Prime Factorization of 274 is 2 x 137

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(440, 396) = 3960

GCD(440, 396) = ( 440 x 396 ) / 3960

GCD(440, 396) = 174240 / 3960

GCD(440, 396) = 44

Step2:

Here we consider the GCD from the above i.e. 44 as first number and the next as 21

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

LCM(44, 21) = 924

GCD(44, 21) = ( 44 x 21 ) / 924

GCD(44, 21) = 924 / 924

GCD(44, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 274

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

LCM(1, 274) = 274

GCD(1, 274) = ( 1 x 274 ) / 274

GCD(1, 274) = 274 / 274

GCD(1, 274) = 1

GCD of 440, 396, 21, 274 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 304, 484, 65, 786
• GCD of 480, 365, 27, 166
• GCD of 958, 140, 24, 580
• GCD of 342, 201, 87, 681
• GCD of 504, 464, 41, 189

1. What is the GCD of 440, 396, 21, 274?

GCD of 440, 396, 21, 274 is 1

2. Where do I get the detailed procedure to find GCD of 440, 396, 21, 274?

You can find a detailed procedure to find GCD of 440, 396, 21, 274 on our page.

3. How to find GCD of 440, 396, 21, 274 on a calculator?

You can find the GCD of 440, 396, 21, 274 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.