GCD of 972, 165, 63, 198 Calculator

Given Input numbers are 972, 165, 63, 198

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

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 63

List of positive integer divisors of 63 that divides 63 without a remainder.

1, 3, 7, 9, 21, 63

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Greatest Common Divisior

We found the divisors of 972, 165, 63, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 165, 63, 198 is 3.

Therefore, GCD of numbers 972, 165, 63, 198 is 3

Given Input Data is 972, 165, 63, 198

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

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 63 is 3 x 3 x 7

Prime Factorization of 198 is 2 x 3 x 3 x 11

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(972, 165) = 53460

GCD(972, 165) = ( 972 x 165 ) / 53460

GCD(972, 165) = 160380 / 53460

GCD(972, 165) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 63

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

LCM(3, 63) = 63

GCD(3, 63) = ( 3 x 63 ) / 63

GCD(3, 63) = 189 / 63

GCD(3, 63) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 198

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

LCM(3, 198) = 198

GCD(3, 198) = ( 3 x 198 ) / 198

GCD(3, 198) = 594 / 198

GCD(3, 198) = 3

GCD of 972, 165, 63, 198 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 597, 856, 44, 501
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• GCD of 878, 762, 45, 783
• GCD of 823, 901, 45, 506

1. What is the GCD of 972, 165, 63, 198?

GCD of 972, 165, 63, 198 is 3

2. Where do I get the detailed procedure to find GCD of 972, 165, 63, 198?

You can find a detailed procedure to find GCD of 972, 165, 63, 198 on our page.

3. How to find GCD of 972, 165, 63, 198 on a calculator?

You can find the GCD of 972, 165, 63, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.