GCD of 198, 354, 725, 836 Calculator

Given Input numbers are 198, 354, 725, 836

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

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

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Divisors of 836

List of positive integer divisors of 836 that divides 836 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Greatest Common Divisior

We found the divisors of 198, 354, 725, 836 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 354, 725, 836 is 1.

Therefore, GCD of numbers 198, 354, 725, 836 is 1

Given Input Data is 198, 354, 725, 836

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

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

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 836 is 2 x 2 x 11 x 19

The above numbers do not have any common prime factor. So GCD is 1

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(198, 354) = 11682

GCD(198, 354) = ( 198 x 354 ) / 11682

GCD(198, 354) = 70092 / 11682

GCD(198, 354) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 725

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

LCM(6, 725) = 4350

GCD(6, 725) = ( 6 x 725 ) / 4350

GCD(6, 725) = 4350 / 4350

GCD(6, 725) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 836

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

LCM(1, 836) = 836

GCD(1, 836) = ( 1 x 836 ) / 836

GCD(1, 836) = 836 / 836

GCD(1, 836) = 1

GCD of 198, 354, 725, 836 is 1

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1. What is the GCD of 198, 354, 725, 836?

GCD of 198, 354, 725, 836 is 1

2. Where do I get the detailed procedure to find GCD of 198, 354, 725, 836?

You can find a detailed procedure to find GCD of 198, 354, 725, 836 on our page.

3. How to find GCD of 198, 354, 725, 836 on a calculator?

You can find the GCD of 198, 354, 725, 836 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.