GCD of 56, 694, 225, 444 Calculator

Given Input numbers are 56, 694, 225, 444

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

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Greatest Common Divisior

We found the divisors of 56, 694, 225, 444 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 56, 694, 225, 444 is 1.

Therefore, GCD of numbers 56, 694, 225, 444 is 1

Given Input Data is 56, 694, 225, 444

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

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 694 is 2 x 347

Prime Factorization of 225 is 3 x 3 x 5 x 5

Prime Factorization of 444 is 2 x 2 x 3 x 37

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(56, 694) = 19432

GCD(56, 694) = ( 56 x 694 ) / 19432

GCD(56, 694) = 38864 / 19432

GCD(56, 694) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 225

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

LCM(2, 225) = 450

GCD(2, 225) = ( 2 x 225 ) / 450

GCD(2, 225) = 450 / 450

GCD(2, 225) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 444

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

LCM(1, 444) = 444

GCD(1, 444) = ( 1 x 444 ) / 444

GCD(1, 444) = 444 / 444

GCD(1, 444) = 1

GCD of 56, 694, 225, 444 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 31, 381, 802, 473
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• GCD of 61, 474, 816, 751
• GCD of 23, 277, 880, 194
• GCD of 52, 903, 465, 989

1. What is the GCD of 56, 694, 225, 444?

GCD of 56, 694, 225, 444 is 1

2. Where do I get the detailed procedure to find GCD of 56, 694, 225, 444?

You can find a detailed procedure to find GCD of 56, 694, 225, 444 on our page.

3. How to find GCD of 56, 694, 225, 444 on a calculator?

You can find the GCD of 56, 694, 225, 444 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.