GCD of 978, 663, 882, 162 Calculator

Given Input numbers are 978, 663, 882, 162

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

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

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

Greatest Common Divisior

We found the divisors of 978, 663, 882, 162 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 978, 663, 882, 162 is 3.

Therefore, GCD of numbers 978, 663, 882, 162 is 3

Given Input Data is 978, 663, 882, 162

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

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 663 is 3 x 13 x 17

Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7

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

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(978, 663) = 216138

GCD(978, 663) = ( 978 x 663 ) / 216138

GCD(978, 663) = 648414 / 216138

GCD(978, 663) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 882

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

LCM(3, 882) = 882

GCD(3, 882) = ( 3 x 882 ) / 882

GCD(3, 882) = 2646 / 882

GCD(3, 882) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 162

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

LCM(3, 162) = 162

GCD(3, 162) = ( 3 x 162 ) / 162

GCD(3, 162) = 486 / 162

GCD(3, 162) = 3

GCD of 978, 663, 882, 162 is 3

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1. What is the GCD of 978, 663, 882, 162?

GCD of 978, 663, 882, 162 is 3

2. Where do I get the detailed procedure to find GCD of 978, 663, 882, 162?

You can find a detailed procedure to find GCD of 978, 663, 882, 162 on our page.

3. How to find GCD of 978, 663, 882, 162 on a calculator?

You can find the GCD of 978, 663, 882, 162 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.