GCD of 931, 744, 166, 198 Calculator

Given Input numbers are 931, 744, 166, 198

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

Divisors of 931

List of positive integer divisors of 931 that divides 931 without a remainder.

1, 7, 19, 49, 133, 931

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 166

List of positive integer divisors of 166 that divides 166 without a remainder.

1, 2, 83, 166

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 931, 744, 166, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 931, 744, 166, 198 is 1.

Therefore, GCD of numbers 931, 744, 166, 198 is 1

Given Input Data is 931, 744, 166, 198

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

Prime Factorization of 931 is 7 x 7 x 19

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 166 is 2 x 83

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(931, 744) = 692664

GCD(931, 744) = ( 931 x 744 ) / 692664

GCD(931, 744) = 692664 / 692664

GCD(931, 744) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 166

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

LCM(1, 166) = 166

GCD(1, 166) = ( 1 x 166 ) / 166

GCD(1, 166) = 166 / 166

GCD(1, 166) = 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 931, 744, 166, 198 is 1

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1. What is the GCD of 931, 744, 166, 198?

GCD of 931, 744, 166, 198 is 1

2. Where do I get the detailed procedure to find GCD of 931, 744, 166, 198?

You can find a detailed procedure to find GCD of 931, 744, 166, 198 on our page.

3. How to find GCD of 931, 744, 166, 198 on a calculator?

You can find the GCD of 931, 744, 166, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.