GCD of 180, 624, 945, 558 Calculator

Given Input numbers are 180, 624, 945, 558

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

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

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

Greatest Common Divisior

We found the divisors of 180, 624, 945, 558 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 624, 945, 558 is 3.

Therefore, GCD of numbers 180, 624, 945, 558 is 3

Given Input Data is 180, 624, 945, 558

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

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

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

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(180, 624) = 9360

GCD(180, 624) = ( 180 x 624 ) / 9360

GCD(180, 624) = 112320 / 9360

GCD(180, 624) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 945

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

LCM(12, 945) = 3780

GCD(12, 945) = ( 12 x 945 ) / 3780

GCD(12, 945) = 11340 / 3780

GCD(12, 945) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 558

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

LCM(3, 558) = 558

GCD(3, 558) = ( 3 x 558 ) / 558

GCD(3, 558) = 1674 / 558

GCD(3, 558) = 3

GCD of 180, 624, 945, 558 is 3

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1. What is the GCD of 180, 624, 945, 558?

GCD of 180, 624, 945, 558 is 3

2. Where do I get the detailed procedure to find GCD of 180, 624, 945, 558?

You can find a detailed procedure to find GCD of 180, 624, 945, 558 on our page.

3. How to find GCD of 180, 624, 945, 558 on a calculator?

You can find the GCD of 180, 624, 945, 558 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.