GCD of 820, 312, 282, 234 Calculator

Given Input numbers are 820, 312, 282, 234

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

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Greatest Common Divisior

We found the divisors of 820, 312, 282, 234 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 312, 282, 234 is 2.

Therefore, GCD of numbers 820, 312, 282, 234 is 2

Given Input Data is 820, 312, 282, 234

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

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 234 is 2 x 3 x 3 x 13

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(820, 312) = 63960

GCD(820, 312) = ( 820 x 312 ) / 63960

GCD(820, 312) = 255840 / 63960

GCD(820, 312) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 282

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

LCM(4, 282) = 564

GCD(4, 282) = ( 4 x 282 ) / 564

GCD(4, 282) = 1128 / 564

GCD(4, 282) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 234

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

LCM(2, 234) = 234

GCD(2, 234) = ( 2 x 234 ) / 234

GCD(2, 234) = 468 / 234

GCD(2, 234) = 2

GCD of 820, 312, 282, 234 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 202, 654, 852, 927
• GCD of 743, 252, 798, 482
• GCD of 602, 375, 888, 257
• GCD of 629, 366, 894, 467
• GCD of 614, 388, 311, 337

1. What is the GCD of 820, 312, 282, 234?

GCD of 820, 312, 282, 234 is 2

2. Where do I get the detailed procedure to find GCD of 820, 312, 282, 234?

You can find a detailed procedure to find GCD of 820, 312, 282, 234 on our page.

3. How to find GCD of 820, 312, 282, 234 on a calculator?

You can find the GCD of 820, 312, 282, 234 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.