GCD of 226, 105, 772 Calculator

Given Input numbers are 226, 105, 772

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 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Greatest Common Divisior

We found the divisors of 226, 105, 772 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 226, 105, 772 is 1.

Therefore, GCD of numbers 226, 105, 772 is 1

Given Input Data is 226, 105, 772

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

Prime Factorization of 226 is 2 x 113

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 772 is 2 x 2 x 193

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, 105) = 23730

GCD(226, 105) = ( 226 x 105 ) / 23730

GCD(226, 105) = 23730 / 23730

GCD(226, 105) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 772

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

LCM(1, 772) = 772

GCD(1, 772) = ( 1 x 772 ) / 772

GCD(1, 772) = 772 / 772

GCD(1, 772) = 1

GCD of 226, 105, 772 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 924, 844, 454
• GCD of 268, 707, 217
• GCD of 802, 177, 575
• GCD of 859, 729, 993
• GCD of 703, 530, 489

1. What is the GCD of 226, 105, 772?

GCD of 226, 105, 772 is 1

2. Where do I get the detailed procedure to find GCD of 226, 105, 772?

You can find a detailed procedure to find GCD of 226, 105, 772 on our page.

3. How to find GCD of 226, 105, 772 on a calculator?

You can find the GCD of 226, 105, 772 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.