GCD of 525, 378, 198 Calculator

Given Input numbers are 525, 378, 198

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

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

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 525, 378, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 525, 378, 198 is 3.

Therefore, GCD of numbers 525, 378, 198 is 3

Given Input Data is 525, 378, 198

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

Prime Factorization of 525 is 3 x 5 x 5 x 7

Prime Factorization of 378 is 2 x 3 x 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(525, 378) = 9450

GCD(525, 378) = ( 525 x 378 ) / 9450

GCD(525, 378) = 198450 / 9450

GCD(525, 378) = 21

Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 198

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

LCM(21, 198) = 1386

GCD(21, 198) = ( 21 x 198 ) / 1386

GCD(21, 198) = 4158 / 1386

GCD(21, 198) = 3

GCD of 525, 378, 198 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 921, 329, 213
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• GCD of 866, 733, 590
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1. What is the GCD of 525, 378, 198?

GCD of 525, 378, 198 is 3

2. Where do I get the detailed procedure to find GCD of 525, 378, 198?

You can find a detailed procedure to find GCD of 525, 378, 198 on our page.

3. How to find GCD of 525, 378, 198 on a calculator?

You can find the GCD of 525, 378, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.