GCD of 852, 542, 438, 530 Calculator

Given Input numbers are 852, 542, 438, 530

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

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 530

List of positive integer divisors of 530 that divides 530 without a remainder.

1, 2, 5, 10, 53, 106, 265, 530

Greatest Common Divisior

We found the divisors of 852, 542, 438, 530 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 542, 438, 530 is 2.

Therefore, GCD of numbers 852, 542, 438, 530 is 2

Given Input Data is 852, 542, 438, 530

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

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 542 is 2 x 271

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 530 is 2 x 5 x 53

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(852, 542) = 230892

GCD(852, 542) = ( 852 x 542 ) / 230892

GCD(852, 542) = 461784 / 230892

GCD(852, 542) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 438

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

LCM(2, 438) = 438

GCD(2, 438) = ( 2 x 438 ) / 438

GCD(2, 438) = 876 / 438

GCD(2, 438) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 530

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

LCM(2, 530) = 530

GCD(2, 530) = ( 2 x 530 ) / 530

GCD(2, 530) = 1060 / 530

GCD(2, 530) = 2

GCD of 852, 542, 438, 530 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 226, 286, 454, 265
• GCD of 819, 602, 181, 110
• GCD of 249, 777, 644, 504
• GCD of 521, 609, 471, 336
• GCD of 244, 978, 638, 638

1. What is the GCD of 852, 542, 438, 530?

GCD of 852, 542, 438, 530 is 2

2. Where do I get the detailed procedure to find GCD of 852, 542, 438, 530?

You can find a detailed procedure to find GCD of 852, 542, 438, 530 on our page.

3. How to find GCD of 852, 542, 438, 530 on a calculator?

You can find the GCD of 852, 542, 438, 530 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.