GCD of 201, 856, 775, 116 Calculator

Given Input numbers are 201, 856, 775, 116

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

Divisors of 201

List of positive integer divisors of 201 that divides 201 without a remainder.

1, 3, 67, 201

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Greatest Common Divisior

We found the divisors of 201, 856, 775, 116 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 201, 856, 775, 116 is 1.

Therefore, GCD of numbers 201, 856, 775, 116 is 1

Given Input Data is 201, 856, 775, 116

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

Prime Factorization of 201 is 3 x 67

Prime Factorization of 856 is 2 x 2 x 2 x 107

Prime Factorization of 775 is 5 x 5 x 31

Prime Factorization of 116 is 2 x 2 x 29

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(201, 856) = 172056

GCD(201, 856) = ( 201 x 856 ) / 172056

GCD(201, 856) = 172056 / 172056

GCD(201, 856) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 775

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

LCM(1, 775) = 775

GCD(1, 775) = ( 1 x 775 ) / 775

GCD(1, 775) = 775 / 775

GCD(1, 775) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 116

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

LCM(1, 116) = 116

GCD(1, 116) = ( 1 x 116 ) / 116

GCD(1, 116) = 116 / 116

GCD(1, 116) = 1

GCD of 201, 856, 775, 116 is 1

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1. What is the GCD of 201, 856, 775, 116?

GCD of 201, 856, 775, 116 is 1

2. Where do I get the detailed procedure to find GCD of 201, 856, 775, 116?

You can find a detailed procedure to find GCD of 201, 856, 775, 116 on our page.

3. How to find GCD of 201, 856, 775, 116 on a calculator?

You can find the GCD of 201, 856, 775, 116 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.