GCD of 906, 526, 917, 198 Calculator

Given Input numbers are 906, 526, 917, 198

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

Divisors of 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 526

List of positive integer divisors of 526 that divides 526 without a remainder.

1, 2, 263, 526

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

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 906, 526, 917, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 906, 526, 917, 198 is 1.

Therefore, GCD of numbers 906, 526, 917, 198 is 1

Given Input Data is 906, 526, 917, 198

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

Prime Factorization of 906 is 2 x 3 x 151

Prime Factorization of 526 is 2 x 263

Prime Factorization of 917 is 7 x 131

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(906, 526) = 238278

GCD(906, 526) = ( 906 x 526 ) / 238278

GCD(906, 526) = 476556 / 238278

GCD(906, 526) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 917

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

LCM(2, 917) = 1834

GCD(2, 917) = ( 2 x 917 ) / 1834

GCD(2, 917) = 1834 / 1834

GCD(2, 917) = 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 906, 526, 917, 198 is 1

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1. What is the GCD of 906, 526, 917, 198?

GCD of 906, 526, 917, 198 is 1

2. Where do I get the detailed procedure to find GCD of 906, 526, 917, 198?

You can find a detailed procedure to find GCD of 906, 526, 917, 198 on our page.

3. How to find GCD of 906, 526, 917, 198 on a calculator?

You can find the GCD of 906, 526, 917, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.