GCD of 961, 154, 522, 186 Calculator

Given Input numbers are 961, 154, 522, 186

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

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 186

List of positive integer divisors of 186 that divides 186 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186

Greatest Common Divisior

We found the divisors of 961, 154, 522, 186 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 961, 154, 522, 186 is 1.

Therefore, GCD of numbers 961, 154, 522, 186 is 1

Given Input Data is 961, 154, 522, 186

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

Prime Factorization of 961 is 31 x 31

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 522 is 2 x 3 x 3 x 29

Prime Factorization of 186 is 2 x 3 x 31

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(961, 154) = 147994

GCD(961, 154) = ( 961 x 154 ) / 147994

GCD(961, 154) = 147994 / 147994

GCD(961, 154) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 522

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

LCM(1, 522) = 522

GCD(1, 522) = ( 1 x 522 ) / 522

GCD(1, 522) = 522 / 522

GCD(1, 522) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 186

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

LCM(1, 186) = 186

GCD(1, 186) = ( 1 x 186 ) / 186

GCD(1, 186) = 186 / 186

GCD(1, 186) = 1

GCD of 961, 154, 522, 186 is 1

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1. What is the GCD of 961, 154, 522, 186?

GCD of 961, 154, 522, 186 is 1

2. Where do I get the detailed procedure to find GCD of 961, 154, 522, 186?

You can find a detailed procedure to find GCD of 961, 154, 522, 186 on our page.

3. How to find GCD of 961, 154, 522, 186 on a calculator?

You can find the GCD of 961, 154, 522, 186 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.