GCD of 172, 248, 58, 648 Calculator

Given Input numbers are 172, 248, 58, 648

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 248

List of positive integer divisors of 248 that divides 248 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Greatest Common Divisior

We found the divisors of 172, 248, 58, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 248, 58, 648 is 2.

Therefore, GCD of numbers 172, 248, 58, 648 is 2

Given Input Data is 172, 248, 58, 648

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 248 is 2 x 2 x 2 x 31

Prime Factorization of 58 is 2 x 29

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 248) = 10664

GCD(172, 248) = ( 172 x 248 ) / 10664

GCD(172, 248) = 42656 / 10664

GCD(172, 248) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 58

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

LCM(4, 58) = 116

GCD(4, 58) = ( 4 x 58 ) / 116

GCD(4, 58) = 232 / 116

GCD(4, 58) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 648

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

LCM(2, 648) = 648

GCD(2, 648) = ( 2 x 648 ) / 648

GCD(2, 648) = 1296 / 648

GCD(2, 648) = 2

GCD of 172, 248, 58, 648 is 2

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1. What is the GCD of 172, 248, 58, 648?

GCD of 172, 248, 58, 648 is 2

2. Where do I get the detailed procedure to find GCD of 172, 248, 58, 648?

You can find a detailed procedure to find GCD of 172, 248, 58, 648 on our page.

3. How to find GCD of 172, 248, 58, 648 on a calculator?

You can find the GCD of 172, 248, 58, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.