GCD of 902, 281, 966, 173 Calculator

Given Input numbers are 902, 281, 966, 173

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

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 281

List of positive integer divisors of 281 that divides 281 without a remainder.

1, 281

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 173

List of positive integer divisors of 173 that divides 173 without a remainder.

1, 173

Greatest Common Divisior

We found the divisors of 902, 281, 966, 173 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 902, 281, 966, 173 is 1.

Therefore, GCD of numbers 902, 281, 966, 173 is 1

Given Input Data is 902, 281, 966, 173

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

Prime Factorization of 902 is 2 x 11 x 41

Prime Factorization of 281 is 281

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 173 is 173

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(902, 281) = 253462

GCD(902, 281) = ( 902 x 281 ) / 253462

GCD(902, 281) = 253462 / 253462

GCD(902, 281) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 966

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

LCM(1, 966) = 966

GCD(1, 966) = ( 1 x 966 ) / 966

GCD(1, 966) = 966 / 966

GCD(1, 966) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 173

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

LCM(1, 173) = 173

GCD(1, 173) = ( 1 x 173 ) / 173

GCD(1, 173) = 173 / 173

GCD(1, 173) = 1

GCD of 902, 281, 966, 173 is 1

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1. What is the GCD of 902, 281, 966, 173?

GCD of 902, 281, 966, 173 is 1

2. Where do I get the detailed procedure to find GCD of 902, 281, 966, 173?

You can find a detailed procedure to find GCD of 902, 281, 966, 173 on our page.

3. How to find GCD of 902, 281, 966, 173 on a calculator?

You can find the GCD of 902, 281, 966, 173 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.