GCD of 416, 352, 38, 772 Calculator

Given Input numbers are 416, 352, 38, 772

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 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Greatest Common Divisior

We found the divisors of 416, 352, 38, 772 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 416, 352, 38, 772 is 2.

Therefore, GCD of numbers 416, 352, 38, 772 is 2

Given Input Data is 416, 352, 38, 772

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 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 38 is 2 x 19

Prime Factorization of 772 is 2 x 2 x 193

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(416, 352) = 4576

GCD(416, 352) = ( 416 x 352 ) / 4576

GCD(416, 352) = 146432 / 4576

GCD(416, 352) = 32

Step2:

Here we consider the GCD from the above i.e. 32 as first number and the next as 38

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

LCM(32, 38) = 608

GCD(32, 38) = ( 32 x 38 ) / 608

GCD(32, 38) = 1216 / 608

GCD(32, 38) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 772

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

LCM(2, 772) = 772

GCD(2, 772) = ( 2 x 772 ) / 772

GCD(2, 772) = 1544 / 772

GCD(2, 772) = 2

GCD of 416, 352, 38, 772 is 2

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1. What is the GCD of 416, 352, 38, 772?

GCD of 416, 352, 38, 772 is 2

2. Where do I get the detailed procedure to find GCD of 416, 352, 38, 772?

You can find a detailed procedure to find GCD of 416, 352, 38, 772 on our page.

3. How to find GCD of 416, 352, 38, 772 on a calculator?

You can find the GCD of 416, 352, 38, 772 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.