GCD of 461, 397, 226, 300 Calculator

Given Input numbers are 461, 397, 226, 300

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

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Divisors of 226

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

1, 2, 113, 226

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

Greatest Common Divisior

We found the divisors of 461, 397, 226, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 461, 397, 226, 300 is 1.

Therefore, GCD of numbers 461, 397, 226, 300 is 1

Given Input Data is 461, 397, 226, 300

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

Prime Factorization of 461 is 461

Prime Factorization of 397 is 397

Prime Factorization of 226 is 2 x 113

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

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(461, 397) = 183017

GCD(461, 397) = ( 461 x 397 ) / 183017

GCD(461, 397) = 183017 / 183017

GCD(461, 397) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 300

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

LCM(1, 300) = 300

GCD(1, 300) = ( 1 x 300 ) / 300

GCD(1, 300) = 300 / 300

GCD(1, 300) = 1

GCD of 461, 397, 226, 300 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 448, 810, 572, 546
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• GCD of 314, 411, 438, 922
• GCD of 430, 613, 569, 251
• GCD of 374, 522, 425, 673

1. What is the GCD of 461, 397, 226, 300?

GCD of 461, 397, 226, 300 is 1

2. Where do I get the detailed procedure to find GCD of 461, 397, 226, 300?

You can find a detailed procedure to find GCD of 461, 397, 226, 300 on our page.

3. How to find GCD of 461, 397, 226, 300 on a calculator?

You can find the GCD of 461, 397, 226, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.