GCD of 893, 516, 354, 198 Calculator

Given Input numbers are 893, 516, 354, 198

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

Divisors of 893

List of positive integer divisors of 893 that divides 893 without a remainder.

1, 19, 47, 893

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

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 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 893, 516, 354, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 893, 516, 354, 198 is 1.

Therefore, GCD of numbers 893, 516, 354, 198 is 1

Given Input Data is 893, 516, 354, 198

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

Prime Factorization of 893 is 19 x 47

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 354 is 2 x 3 x 59

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

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(893, 516) = 460788

GCD(893, 516) = ( 893 x 516 ) / 460788

GCD(893, 516) = 460788 / 460788

GCD(893, 516) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 354

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

LCM(1, 354) = 354

GCD(1, 354) = ( 1 x 354 ) / 354

GCD(1, 354) = 354 / 354

GCD(1, 354) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 198

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

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

GCD(1, 198) = 198 / 198

GCD(1, 198) = 1

GCD of 893, 516, 354, 198 is 1

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1. What is the GCD of 893, 516, 354, 198?

GCD of 893, 516, 354, 198 is 1

2. Where do I get the detailed procedure to find GCD of 893, 516, 354, 198?

You can find a detailed procedure to find GCD of 893, 516, 354, 198 on our page.

3. How to find GCD of 893, 516, 354, 198 on a calculator?

You can find the GCD of 893, 516, 354, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.