GCD of 626, 728, 707, 172 Calculator

Given Input numbers are 626, 728, 707, 172

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

Divisors of 626

List of positive integer divisors of 626 that divides 626 without a remainder.

1, 2, 313, 626

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Divisors of 172

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

1, 2, 4, 43, 86, 172

Greatest Common Divisior

We found the divisors of 626, 728, 707, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 626, 728, 707, 172 is 1.

Therefore, GCD of numbers 626, 728, 707, 172 is 1

Given Input Data is 626, 728, 707, 172

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

Prime Factorization of 626 is 2 x 313

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 707 is 7 x 101

Prime Factorization of 172 is 2 x 2 x 43

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(626, 728) = 227864

GCD(626, 728) = ( 626 x 728 ) / 227864

GCD(626, 728) = 455728 / 227864

GCD(626, 728) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 707

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

LCM(2, 707) = 1414

GCD(2, 707) = ( 2 x 707 ) / 1414

GCD(2, 707) = 1414 / 1414

GCD(2, 707) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 172

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

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

GCD(1, 172) = 172 / 172

GCD(1, 172) = 1

GCD of 626, 728, 707, 172 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 111, 177, 773, 384
• GCD of 441, 753, 943, 345
• GCD of 899, 141, 834, 774
• GCD of 450, 541, 722, 461
• GCD of 938, 772, 716, 105

1. What is the GCD of 626, 728, 707, 172?

GCD of 626, 728, 707, 172 is 1

2. Where do I get the detailed procedure to find GCD of 626, 728, 707, 172?

You can find a detailed procedure to find GCD of 626, 728, 707, 172 on our page.

3. How to find GCD of 626, 728, 707, 172 on a calculator?

You can find the GCD of 626, 728, 707, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.