GCD of 456, 444, 30, 882 Calculator

Given Input numbers are 456, 444, 30, 882

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

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

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

Greatest Common Divisior

We found the divisors of 456, 444, 30, 882 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 456, 444, 30, 882 is 6.

Therefore, GCD of numbers 456, 444, 30, 882 is 6

Given Input Data is 456, 444, 30, 882

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

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 444 is 2 x 2 x 3 x 37

Prime Factorization of 30 is 2 x 3 x 5

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

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(456, 444) = 16872

GCD(456, 444) = ( 456 x 444 ) / 16872

GCD(456, 444) = 202464 / 16872

GCD(456, 444) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 30

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

LCM(12, 30) = 60

GCD(12, 30) = ( 12 x 30 ) / 60

GCD(12, 30) = 360 / 60

GCD(12, 30) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 882

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

LCM(6, 882) = 882

GCD(6, 882) = ( 6 x 882 ) / 882

GCD(6, 882) = 5292 / 882

GCD(6, 882) = 6

GCD of 456, 444, 30, 882 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 852, 918, 60, 505
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• GCD of 949, 625, 71, 780
• GCD of 537, 583, 26, 937

1. What is the GCD of 456, 444, 30, 882?

GCD of 456, 444, 30, 882 is 6

2. Where do I get the detailed procedure to find GCD of 456, 444, 30, 882?

You can find a detailed procedure to find GCD of 456, 444, 30, 882 on our page.

3. How to find GCD of 456, 444, 30, 882 on a calculator?

You can find the GCD of 456, 444, 30, 882 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.