GCD of 300, 457, 77, 226 Calculator

Given Input numbers are 300, 457, 77, 226

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

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 226

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

1, 2, 113, 226

Greatest Common Divisior

We found the divisors of 300, 457, 77, 226 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 457, 77, 226 is 1.

Therefore, GCD of numbers 300, 457, 77, 226 is 1

Given Input Data is 300, 457, 77, 226

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

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 457 is 457

Prime Factorization of 77 is 7 x 11

Prime Factorization of 226 is 2 x 113

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(300, 457) = 137100

GCD(300, 457) = ( 300 x 457 ) / 137100

GCD(300, 457) = 137100 / 137100

GCD(300, 457) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 77

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

LCM(1, 77) = 77

GCD(1, 77) = ( 1 x 77 ) / 77

GCD(1, 77) = 77 / 77

GCD(1, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 226

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

LCM(1, 226) = 226

GCD(1, 226) = ( 1 x 226 ) / 226

GCD(1, 226) = 226 / 226

GCD(1, 226) = 1

GCD of 300, 457, 77, 226 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 332, 930, 26, 673
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• GCD of 395, 470, 22, 403

1. What is the GCD of 300, 457, 77, 226?

GCD of 300, 457, 77, 226 is 1

2. Where do I get the detailed procedure to find GCD of 300, 457, 77, 226?

You can find a detailed procedure to find GCD of 300, 457, 77, 226 on our page.

3. How to find GCD of 300, 457, 77, 226 on a calculator?

You can find the GCD of 300, 457, 77, 226 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.