GCD of 882, 428, 364, 630 Calculator

Given Input numbers are 882, 428, 364, 630

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

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 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Greatest Common Divisior

We found the divisors of 882, 428, 364, 630 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 882, 428, 364, 630 is 2.

Therefore, GCD of numbers 882, 428, 364, 630 is 2

Given Input Data is 882, 428, 364, 630

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

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

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(882, 428) = 188748

GCD(882, 428) = ( 882 x 428 ) / 188748

GCD(882, 428) = 377496 / 188748

GCD(882, 428) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 364

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

LCM(2, 364) = 364

GCD(2, 364) = ( 2 x 364 ) / 364

GCD(2, 364) = 728 / 364

GCD(2, 364) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 630

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

LCM(2, 630) = 630

GCD(2, 630) = ( 2 x 630 ) / 630

GCD(2, 630) = 1260 / 630

GCD(2, 630) = 2

GCD of 882, 428, 364, 630 is 2

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1. What is the GCD of 882, 428, 364, 630?

GCD of 882, 428, 364, 630 is 2

2. Where do I get the detailed procedure to find GCD of 882, 428, 364, 630?

You can find a detailed procedure to find GCD of 882, 428, 364, 630 on our page.

3. How to find GCD of 882, 428, 364, 630 on a calculator?

You can find the GCD of 882, 428, 364, 630 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.