GCD of 588, 175, 72, 552 Calculator

Given Input numbers are 588, 175, 72, 552

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

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Greatest Common Divisior

We found the divisors of 588, 175, 72, 552 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 588, 175, 72, 552 is 1.

Therefore, GCD of numbers 588, 175, 72, 552 is 1

Given Input Data is 588, 175, 72, 552

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

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 175 is 5 x 5 x 7

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 552 is 2 x 2 x 2 x 3 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(588, 175) = 14700

GCD(588, 175) = ( 588 x 175 ) / 14700

GCD(588, 175) = 102900 / 14700

GCD(588, 175) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 72

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

LCM(7, 72) = 504

GCD(7, 72) = ( 7 x 72 ) / 504

GCD(7, 72) = 504 / 504

GCD(7, 72) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 552

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

LCM(1, 552) = 552

GCD(1, 552) = ( 1 x 552 ) / 552

GCD(1, 552) = 552 / 552

GCD(1, 552) = 1

GCD of 588, 175, 72, 552 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 402, 852, 40, 366
• GCD of 434, 617, 20, 746
• GCD of 411, 494, 35, 600
• GCD of 262, 884, 64, 136
• GCD of 183, 966, 84, 553

1. What is the GCD of 588, 175, 72, 552?

GCD of 588, 175, 72, 552 is 1

2. Where do I get the detailed procedure to find GCD of 588, 175, 72, 552?

You can find a detailed procedure to find GCD of 588, 175, 72, 552 on our page.

3. How to find GCD of 588, 175, 72, 552 on a calculator?

You can find the GCD of 588, 175, 72, 552 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.