GCD of 916, 778, 285, 198 Calculator

Given Input numbers are 916, 778, 285, 198

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

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Divisors of 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

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 916, 778, 285, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 916, 778, 285, 198 is 1.

Therefore, GCD of numbers 916, 778, 285, 198 is 1

Given Input Data is 916, 778, 285, 198

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

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 778 is 2 x 389

Prime Factorization of 285 is 3 x 5 x 19

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(916, 778) = 356324

GCD(916, 778) = ( 916 x 778 ) / 356324

GCD(916, 778) = 712648 / 356324

GCD(916, 778) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 285

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

LCM(2, 285) = 570

GCD(2, 285) = ( 2 x 285 ) / 570

GCD(2, 285) = 570 / 570

GCD(2, 285) = 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 916, 778, 285, 198 is 1

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1. What is the GCD of 916, 778, 285, 198?

GCD of 916, 778, 285, 198 is 1

2. Where do I get the detailed procedure to find GCD of 916, 778, 285, 198?

You can find a detailed procedure to find GCD of 916, 778, 285, 198 on our page.

3. How to find GCD of 916, 778, 285, 198 on a calculator?

You can find the GCD of 916, 778, 285, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.