GCD of 147, 363, 47, 529 Calculator

Given Input numbers are 147, 363, 47, 529

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

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 529

List of positive integer divisors of 529 that divides 529 without a remainder.

1, 23, 529

Greatest Common Divisior

We found the divisors of 147, 363, 47, 529 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 147, 363, 47, 529 is 1.

Therefore, GCD of numbers 147, 363, 47, 529 is 1

Given Input Data is 147, 363, 47, 529

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

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 47 is 47

Prime Factorization of 529 is 23 x 23

The above numbers do not have any common prime factor. So GCD is 1

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(147, 363) = 17787

GCD(147, 363) = ( 147 x 363 ) / 17787

GCD(147, 363) = 53361 / 17787

GCD(147, 363) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 47

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

LCM(3, 47) = 141

GCD(3, 47) = ( 3 x 47 ) / 141

GCD(3, 47) = 141 / 141

GCD(3, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 529

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

LCM(1, 529) = 529

GCD(1, 529) = ( 1 x 529 ) / 529

GCD(1, 529) = 529 / 529

GCD(1, 529) = 1

GCD of 147, 363, 47, 529 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 594, 863, 49, 993
• GCD of 407, 714, 49, 506
• GCD of 644, 255, 85, 376
• GCD of 915, 639, 17, 885
• GCD of 974, 401, 83, 967

1. What is the GCD of 147, 363, 47, 529?

GCD of 147, 363, 47, 529 is 1

2. Where do I get the detailed procedure to find GCD of 147, 363, 47, 529?

You can find a detailed procedure to find GCD of 147, 363, 47, 529 on our page.

3. How to find GCD of 147, 363, 47, 529 on a calculator?

You can find the GCD of 147, 363, 47, 529 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.