GCD of 300, 755, 162, 946 Calculator

Given Input numbers are 300, 755, 162, 946

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 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Greatest Common Divisior

We found the divisors of 300, 755, 162, 946 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 755, 162, 946 is 1.

Therefore, GCD of numbers 300, 755, 162, 946 is 1

Given Input Data is 300, 755, 162, 946

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 755 is 5 x 151

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

Prime Factorization of 946 is 2 x 11 x 43

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, 755) = 45300

GCD(300, 755) = ( 300 x 755 ) / 45300

GCD(300, 755) = 226500 / 45300

GCD(300, 755) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 162

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

LCM(5, 162) = 810

GCD(5, 162) = ( 5 x 162 ) / 810

GCD(5, 162) = 810 / 810

GCD(5, 162) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 946

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

LCM(1, 946) = 946

GCD(1, 946) = ( 1 x 946 ) / 946

GCD(1, 946) = 946 / 946

GCD(1, 946) = 1

GCD of 300, 755, 162, 946 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 204, 472, 627, 946
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• GCD of 436, 484, 751, 678

1. What is the GCD of 300, 755, 162, 946?

GCD of 300, 755, 162, 946 is 1

2. Where do I get the detailed procedure to find GCD of 300, 755, 162, 946?

You can find a detailed procedure to find GCD of 300, 755, 162, 946 on our page.

3. How to find GCD of 300, 755, 162, 946 on a calculator?

You can find the GCD of 300, 755, 162, 946 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.