GCD of 226, 228, 777, 507 Calculator

Given Input numbers are 226, 228, 777, 507

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

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 777

List of positive integer divisors of 777 that divides 777 without a remainder.

1, 3, 7, 21, 37, 111, 259, 777

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Greatest Common Divisior

We found the divisors of 226, 228, 777, 507 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 226, 228, 777, 507 is 1.

Therefore, GCD of numbers 226, 228, 777, 507 is 1

Given Input Data is 226, 228, 777, 507

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

Prime Factorization of 226 is 2 x 113

Prime Factorization of 228 is 2 x 2 x 3 x 19

Prime Factorization of 777 is 3 x 7 x 37

Prime Factorization of 507 is 3 x 13 x 13

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(226, 228) = 25764

GCD(226, 228) = ( 226 x 228 ) / 25764

GCD(226, 228) = 51528 / 25764

GCD(226, 228) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 777

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

LCM(2, 777) = 1554

GCD(2, 777) = ( 2 x 777 ) / 1554

GCD(2, 777) = 1554 / 1554

GCD(2, 777) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 507

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

LCM(1, 507) = 507

GCD(1, 507) = ( 1 x 507 ) / 507

GCD(1, 507) = 507 / 507

GCD(1, 507) = 1

GCD of 226, 228, 777, 507 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 727, 920, 596, 414
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• GCD of 739, 769, 970, 346
• GCD of 847, 325, 171, 862

1. What is the GCD of 226, 228, 777, 507?

GCD of 226, 228, 777, 507 is 1

2. Where do I get the detailed procedure to find GCD of 226, 228, 777, 507?

You can find a detailed procedure to find GCD of 226, 228, 777, 507 on our page.

3. How to find GCD of 226, 228, 777, 507 on a calculator?

You can find the GCD of 226, 228, 777, 507 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.