GCD of 42, 262, 624, 828 Calculator

Given Input numbers are 42, 262, 624, 828

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 262

List of positive integer divisors of 262 that divides 262 without a remainder.

1, 2, 131, 262

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Greatest Common Divisior

We found the divisors of 42, 262, 624, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 262, 624, 828 is 2.

Therefore, GCD of numbers 42, 262, 624, 828 is 2

Given Input Data is 42, 262, 624, 828

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 262 is 2 x 131

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

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(42, 262) = 5502

GCD(42, 262) = ( 42 x 262 ) / 5502

GCD(42, 262) = 11004 / 5502

GCD(42, 262) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 624

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

LCM(2, 624) = 624

GCD(2, 624) = ( 2 x 624 ) / 624

GCD(2, 624) = 1248 / 624

GCD(2, 624) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 828

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

LCM(2, 828) = 828

GCD(2, 828) = ( 2 x 828 ) / 828

GCD(2, 828) = 1656 / 828

GCD(2, 828) = 2

GCD of 42, 262, 624, 828 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 14, 885, 279, 481
• GCD of 74, 157, 154, 500
• GCD of 80, 629, 228, 364
• GCD of 16, 184, 184, 346
• GCD of 40, 816, 549, 210

1. What is the GCD of 42, 262, 624, 828?

GCD of 42, 262, 624, 828 is 2

2. Where do I get the detailed procedure to find GCD of 42, 262, 624, 828?

You can find a detailed procedure to find GCD of 42, 262, 624, 828 on our page.

3. How to find GCD of 42, 262, 624, 828 on a calculator?

You can find the GCD of 42, 262, 624, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.