GCD of 162, 624, 88, 578 Calculator

Given Input numbers are 162, 624, 88, 578

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

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

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 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Greatest Common Divisior

We found the divisors of 162, 624, 88, 578 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 162, 624, 88, 578 is 2.

Therefore, GCD of numbers 162, 624, 88, 578 is 2

Given Input Data is 162, 624, 88, 578

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

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

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

Prime Factorization of 88 is 2 x 2 x 2 x 11

Prime Factorization of 578 is 2 x 17 x 17

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(162, 624) = 16848

GCD(162, 624) = ( 162 x 624 ) / 16848

GCD(162, 624) = 101088 / 16848

GCD(162, 624) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 88

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

LCM(6, 88) = 264

GCD(6, 88) = ( 6 x 88 ) / 264

GCD(6, 88) = 528 / 264

GCD(6, 88) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 578

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

LCM(2, 578) = 578

GCD(2, 578) = ( 2 x 578 ) / 578

GCD(2, 578) = 1156 / 578

GCD(2, 578) = 2

GCD of 162, 624, 88, 578 is 2

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1. What is the GCD of 162, 624, 88, 578?

GCD of 162, 624, 88, 578 is 2

2. Where do I get the detailed procedure to find GCD of 162, 624, 88, 578?

You can find a detailed procedure to find GCD of 162, 624, 88, 578 on our page.

3. How to find GCD of 162, 624, 88, 578 on a calculator?

You can find the GCD of 162, 624, 88, 578 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.