GCD of 147, 172, 553, 493 Calculator

Given Input numbers are 147, 172, 553, 493

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 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Greatest Common Divisior

We found the divisors of 147, 172, 553, 493 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 147, 172, 553, 493 is 1.

Therefore, GCD of numbers 147, 172, 553, 493 is 1

Given Input Data is 147, 172, 553, 493

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 172 is 2 x 2 x 43

Prime Factorization of 553 is 7 x 79

Prime Factorization of 493 is 17 x 29

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, 172) = 25284

GCD(147, 172) = ( 147 x 172 ) / 25284

GCD(147, 172) = 25284 / 25284

GCD(147, 172) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 553

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

LCM(1, 553) = 553

GCD(1, 553) = ( 1 x 553 ) / 553

GCD(1, 553) = 553 / 553

GCD(1, 553) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 493

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

LCM(1, 493) = 493

GCD(1, 493) = ( 1 x 493 ) / 493

GCD(1, 493) = 493 / 493

GCD(1, 493) = 1

GCD of 147, 172, 553, 493 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 633, 284, 121, 470
• GCD of 635, 567, 912, 511
• GCD of 130, 766, 753, 921
• GCD of 400, 493, 405, 785
• GCD of 354, 719, 109, 279

1. What is the GCD of 147, 172, 553, 493?

GCD of 147, 172, 553, 493 is 1

2. Where do I get the detailed procedure to find GCD of 147, 172, 553, 493?

You can find a detailed procedure to find GCD of 147, 172, 553, 493 on our page.

3. How to find GCD of 147, 172, 553, 493 on a calculator?

You can find the GCD of 147, 172, 553, 493 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.