GCD of 496, 207, 558, 172 Calculator

Given Input numbers are 496, 207, 558, 172

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

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

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 496, 207, 558, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 496, 207, 558, 172 is 1.

Therefore, GCD of numbers 496, 207, 558, 172 is 1

Given Input Data is 496, 207, 558, 172

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

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 207 is 3 x 3 x 23

Prime Factorization of 558 is 2 x 3 x 3 x 31

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(496, 207) = 102672

GCD(496, 207) = ( 496 x 207 ) / 102672

GCD(496, 207) = 102672 / 102672

GCD(496, 207) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 558

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

LCM(1, 558) = 558

GCD(1, 558) = ( 1 x 558 ) / 558

GCD(1, 558) = 558 / 558

GCD(1, 558) = 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 496, 207, 558, 172 is 1

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• GCD of 600, 594, 752, 380
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1. What is the GCD of 496, 207, 558, 172?

GCD of 496, 207, 558, 172 is 1

2. Where do I get the detailed procedure to find GCD of 496, 207, 558, 172?

You can find a detailed procedure to find GCD of 496, 207, 558, 172 on our page.

3. How to find GCD of 496, 207, 558, 172 on a calculator?

You can find the GCD of 496, 207, 558, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.