GCD of 722, 182, 416 Calculator

Given Input numbers are 722, 182, 416

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

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

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

Greatest Common Divisior

We found the divisors of 722, 182, 416 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 722, 182, 416 is 2.

Therefore, GCD of numbers 722, 182, 416 is 2

Given Input Data is 722, 182, 416

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

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 182 is 2 x 7 x 13

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

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(722, 182) = 65702

GCD(722, 182) = ( 722 x 182 ) / 65702

GCD(722, 182) = 131404 / 65702

GCD(722, 182) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 416

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

LCM(2, 416) = 416

GCD(2, 416) = ( 2 x 416 ) / 416

GCD(2, 416) = 832 / 416

GCD(2, 416) = 2

GCD of 722, 182, 416 is 2

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1. What is the GCD of 722, 182, 416?

GCD of 722, 182, 416 is 2

2. Where do I get the detailed procedure to find GCD of 722, 182, 416?

You can find a detailed procedure to find GCD of 722, 182, 416 on our page.

3. How to find GCD of 722, 182, 416 on a calculator?

You can find the GCD of 722, 182, 416 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.