GCD of 172, 308, 53, 623 Calculator

Given Input numbers are 172, 308, 53, 623

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

Divisors of 172

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

1, 2, 4, 43, 86, 172

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 623

List of positive integer divisors of 623 that divides 623 without a remainder.

1, 7, 89, 623

Greatest Common Divisior

We found the divisors of 172, 308, 53, 623 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 308, 53, 623 is 1.

Therefore, GCD of numbers 172, 308, 53, 623 is 1

Given Input Data is 172, 308, 53, 623

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

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 53 is 53

Prime Factorization of 623 is 7 x 89

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(172, 308) = 13244

GCD(172, 308) = ( 172 x 308 ) / 13244

GCD(172, 308) = 52976 / 13244

GCD(172, 308) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 53

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

LCM(4, 53) = 212

GCD(4, 53) = ( 4 x 53 ) / 212

GCD(4, 53) = 212 / 212

GCD(4, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 623

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

LCM(1, 623) = 623

GCD(1, 623) = ( 1 x 623 ) / 623

GCD(1, 623) = 623 / 623

GCD(1, 623) = 1

GCD of 172, 308, 53, 623 is 1

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1. What is the GCD of 172, 308, 53, 623?

GCD of 172, 308, 53, 623 is 1

2. Where do I get the detailed procedure to find GCD of 172, 308, 53, 623?

You can find a detailed procedure to find GCD of 172, 308, 53, 623 on our page.

3. How to find GCD of 172, 308, 53, 623 on a calculator?

You can find the GCD of 172, 308, 53, 623 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.