GCD of 975, 198, 263, 936 Calculator

Given Input numbers are 975, 198, 263, 936

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

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

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 263

List of positive integer divisors of 263 that divides 263 without a remainder.

1, 263

Divisors of 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Greatest Common Divisior

We found the divisors of 975, 198, 263, 936 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 198, 263, 936 is 1.

Therefore, GCD of numbers 975, 198, 263, 936 is 1

Given Input Data is 975, 198, 263, 936

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

Prime Factorization of 975 is 3 x 5 x 5 x 13

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

Prime Factorization of 263 is 263

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13

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(975, 198) = 64350

GCD(975, 198) = ( 975 x 198 ) / 64350

GCD(975, 198) = 193050 / 64350

GCD(975, 198) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 263

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

LCM(3, 263) = 789

GCD(3, 263) = ( 3 x 263 ) / 789

GCD(3, 263) = 789 / 789

GCD(3, 263) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 936

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

LCM(1, 936) = 936

GCD(1, 936) = ( 1 x 936 ) / 936

GCD(1, 936) = 936 / 936

GCD(1, 936) = 1

GCD of 975, 198, 263, 936 is 1

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1. What is the GCD of 975, 198, 263, 936?

GCD of 975, 198, 263, 936 is 1

2. Where do I get the detailed procedure to find GCD of 975, 198, 263, 936?

You can find a detailed procedure to find GCD of 975, 198, 263, 936 on our page.

3. How to find GCD of 975, 198, 263, 936 on a calculator?

You can find the GCD of 975, 198, 263, 936 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.