GCD of 554, 518, 179, 852 Calculator

Given Input numbers are 554, 518, 179, 852

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

Divisors of 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 179

List of positive integer divisors of 179 that divides 179 without a remainder.

1, 179

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Greatest Common Divisior

We found the divisors of 554, 518, 179, 852 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 554, 518, 179, 852 is 1.

Therefore, GCD of numbers 554, 518, 179, 852 is 1

Given Input Data is 554, 518, 179, 852

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

Prime Factorization of 554 is 2 x 277

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 179 is 179

Prime Factorization of 852 is 2 x 2 x 3 x 71

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(554, 518) = 143486

GCD(554, 518) = ( 554 x 518 ) / 143486

GCD(554, 518) = 286972 / 143486

GCD(554, 518) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 179

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

LCM(2, 179) = 358

GCD(2, 179) = ( 2 x 179 ) / 358

GCD(2, 179) = 358 / 358

GCD(2, 179) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 852

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

LCM(1, 852) = 852

GCD(1, 852) = ( 1 x 852 ) / 852

GCD(1, 852) = 852 / 852

GCD(1, 852) = 1

GCD of 554, 518, 179, 852 is 1

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1. What is the GCD of 554, 518, 179, 852?

GCD of 554, 518, 179, 852 is 1

2. Where do I get the detailed procedure to find GCD of 554, 518, 179, 852?

You can find a detailed procedure to find GCD of 554, 518, 179, 852 on our page.

3. How to find GCD of 554, 518, 179, 852 on a calculator?

You can find the GCD of 554, 518, 179, 852 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.