GCD of 42, 882, 915, 300 Calculator

Given Input numbers are 42, 882, 915, 300

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

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

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 42, 882, 915, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 882, 915, 300 is 3.

Therefore, GCD of numbers 42, 882, 915, 300 is 3

Given Input Data is 42, 882, 915, 300

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

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7

Prime Factorization of 915 is 3 x 5 x 61

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

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(42, 882) = 882

GCD(42, 882) = ( 42 x 882 ) / 882

GCD(42, 882) = 37044 / 882

GCD(42, 882) = 42

Step2:

Here we consider the GCD from the above i.e. 42 as first number and the next as 915

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

LCM(42, 915) = 12810

GCD(42, 915) = ( 42 x 915 ) / 12810

GCD(42, 915) = 38430 / 12810

GCD(42, 915) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 300

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

LCM(3, 300) = 300

GCD(3, 300) = ( 3 x 300 ) / 300

GCD(3, 300) = 900 / 300

GCD(3, 300) = 3

GCD of 42, 882, 915, 300 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 16, 545, 144, 613
• GCD of 65, 947, 768, 269
• GCD of 26, 962, 244, 847
• GCD of 69, 139, 471, 100
• GCD of 58, 405, 948, 824

1. What is the GCD of 42, 882, 915, 300?

GCD of 42, 882, 915, 300 is 3

2. Where do I get the detailed procedure to find GCD of 42, 882, 915, 300?

You can find a detailed procedure to find GCD of 42, 882, 915, 300 on our page.

3. How to find GCD of 42, 882, 915, 300 on a calculator?

You can find the GCD of 42, 882, 915, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.