GCD of 184, 966, 72, 410 Calculator

Given Input numbers are 184, 966, 72, 410

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

Divisors of 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

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 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 410

List of positive integer divisors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410

Greatest Common Divisior

We found the divisors of 184, 966, 72, 410 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 184, 966, 72, 410 is 2.

Therefore, GCD of numbers 184, 966, 72, 410 is 2

Given Input Data is 184, 966, 72, 410

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

Prime Factorization of 184 is 2 x 2 x 2 x 23

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

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 410 is 2 x 5 x 41

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(184, 966) = 3864

GCD(184, 966) = ( 184 x 966 ) / 3864

GCD(184, 966) = 177744 / 3864

GCD(184, 966) = 46

Step2:

Here we consider the GCD from the above i.e. 46 as first number and the next as 72

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

LCM(46, 72) = 1656

GCD(46, 72) = ( 46 x 72 ) / 1656

GCD(46, 72) = 3312 / 1656

GCD(46, 72) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 410

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

LCM(2, 410) = 410

GCD(2, 410) = ( 2 x 410 ) / 410

GCD(2, 410) = 820 / 410

GCD(2, 410) = 2

GCD of 184, 966, 72, 410 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 967, 899, 80, 938
• GCD of 427, 495, 74, 755
• GCD of 926, 284, 34, 695
• GCD of 503, 317, 43, 551
• GCD of 601, 722, 29, 255

1. What is the GCD of 184, 966, 72, 410?

GCD of 184, 966, 72, 410 is 2

2. Where do I get the detailed procedure to find GCD of 184, 966, 72, 410?

You can find a detailed procedure to find GCD of 184, 966, 72, 410 on our page.

3. How to find GCD of 184, 966, 72, 410 on a calculator?

You can find the GCD of 184, 966, 72, 410 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.