GCD of 416, 132, 299, 322 Calculator

Given Input numbers are 416, 132, 299, 322

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

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Greatest Common Divisior

We found the divisors of 416, 132, 299, 322 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 416, 132, 299, 322 is 1.

Therefore, GCD of numbers 416, 132, 299, 322 is 1

Given Input Data is 416, 132, 299, 322

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

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 299 is 13 x 23

Prime Factorization of 322 is 2 x 7 x 23

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(416, 132) = 13728

GCD(416, 132) = ( 416 x 132 ) / 13728

GCD(416, 132) = 54912 / 13728

GCD(416, 132) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 299

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

LCM(4, 299) = 1196

GCD(4, 299) = ( 4 x 299 ) / 1196

GCD(4, 299) = 1196 / 1196

GCD(4, 299) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 322

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

LCM(1, 322) = 322

GCD(1, 322) = ( 1 x 322 ) / 322

GCD(1, 322) = 322 / 322

GCD(1, 322) = 1

GCD of 416, 132, 299, 322 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 295, 483, 237, 510
• GCD of 154, 941, 786, 845
• GCD of 778, 628, 259, 173
• GCD of 608, 857, 506, 713
• GCD of 599, 988, 262, 987

1. What is the GCD of 416, 132, 299, 322?

GCD of 416, 132, 299, 322 is 1

2. Where do I get the detailed procedure to find GCD of 416, 132, 299, 322?

You can find a detailed procedure to find GCD of 416, 132, 299, 322 on our page.

3. How to find GCD of 416, 132, 299, 322 on a calculator?

You can find the GCD of 416, 132, 299, 322 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.