GCD of 59, 441, 386, 300 Calculator

Given Input numbers are 59, 441, 386, 300

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

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 441

List of positive integer divisors of 441 that divides 441 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 441

Divisors of 386

List of positive integer divisors of 386 that divides 386 without a remainder.

1, 2, 193, 386

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 59, 441, 386, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 59, 441, 386, 300 is 1.

Therefore, GCD of numbers 59, 441, 386, 300 is 1

Given Input Data is 59, 441, 386, 300

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

Prime Factorization of 59 is 59

Prime Factorization of 441 is 3 x 3 x 7 x 7

Prime Factorization of 386 is 2 x 193

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(59, 441) = 26019

GCD(59, 441) = ( 59 x 441 ) / 26019

GCD(59, 441) = 26019 / 26019

GCD(59, 441) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 386

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

LCM(1, 386) = 386

GCD(1, 386) = ( 1 x 386 ) / 386

GCD(1, 386) = 386 / 386

GCD(1, 386) = 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 59, 441, 386, 300 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 41, 323, 352, 616
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• GCD of 34, 641, 848, 216
• GCD of 87, 856, 212, 693
• GCD of 39, 496, 839, 387

1. What is the GCD of 59, 441, 386, 300?

GCD of 59, 441, 386, 300 is 1

2. Where do I get the detailed procedure to find GCD of 59, 441, 386, 300?

You can find a detailed procedure to find GCD of 59, 441, 386, 300 on our page.

3. How to find GCD of 59, 441, 386, 300 on a calculator?

You can find the GCD of 59, 441, 386, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.