GCD of 572, 530, 14, 364 Calculator

Given Input numbers are 572, 530, 14, 364

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

Divisors of 572

List of positive integer divisors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 530

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

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

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

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

Greatest Common Divisior

We found the divisors of 572, 530, 14, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 572, 530, 14, 364 is 2.

Therefore, GCD of numbers 572, 530, 14, 364 is 2

Given Input Data is 572, 530, 14, 364

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

Prime Factorization of 572 is 2 x 2 x 11 x 13

Prime Factorization of 530 is 2 x 5 x 53

Prime Factorization of 14 is 2 x 7

Prime Factorization of 364 is 2 x 2 x 7 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(572, 530) = 151580

GCD(572, 530) = ( 572 x 530 ) / 151580

GCD(572, 530) = 303160 / 151580

GCD(572, 530) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 14

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

LCM(2, 14) = 14

GCD(2, 14) = ( 2 x 14 ) / 14

GCD(2, 14) = 28 / 14

GCD(2, 14) = 2

Step3:

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

GCD of 572, 530, 14, 364 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 400, 891, 56, 267
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• GCD of 362, 899, 57, 432
• GCD of 908, 721, 69, 477
• GCD of 934, 262, 81, 946

1. What is the GCD of 572, 530, 14, 364?

GCD of 572, 530, 14, 364 is 2

2. Where do I get the detailed procedure to find GCD of 572, 530, 14, 364?

You can find a detailed procedure to find GCD of 572, 530, 14, 364 on our page.

3. How to find GCD of 572, 530, 14, 364 on a calculator?

You can find the GCD of 572, 530, 14, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.