GCD of 634, 149, 918, 300 Calculator

Given Input numbers are 634, 149, 918, 300

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

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

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 634, 149, 918, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 634, 149, 918, 300 is 1.

Therefore, GCD of numbers 634, 149, 918, 300 is 1

Given Input Data is 634, 149, 918, 300

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

Prime Factorization of 634 is 2 x 317

Prime Factorization of 149 is 149

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

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(634, 149) = 94466

GCD(634, 149) = ( 634 x 149 ) / 94466

GCD(634, 149) = 94466 / 94466

GCD(634, 149) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 918

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

LCM(1, 918) = 918

GCD(1, 918) = ( 1 x 918 ) / 918

GCD(1, 918) = 918 / 918

GCD(1, 918) = 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 634, 149, 918, 300 is 1

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1. What is the GCD of 634, 149, 918, 300?

GCD of 634, 149, 918, 300 is 1

2. Where do I get the detailed procedure to find GCD of 634, 149, 918, 300?

You can find a detailed procedure to find GCD of 634, 149, 918, 300 on our page.

3. How to find GCD of 634, 149, 918, 300 on a calculator?

You can find the GCD of 634, 149, 918, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.