GCD of 416, 976, 727, 372 Calculator

Given Input numbers are 416, 976, 727, 372

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 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 727

List of positive integer divisors of 727 that divides 727 without a remainder.

1, 727

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Greatest Common Divisior

We found the divisors of 416, 976, 727, 372 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 416, 976, 727, 372 is 1.

Therefore, GCD of numbers 416, 976, 727, 372 is 1

Given Input Data is 416, 976, 727, 372

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 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 727 is 727

Prime Factorization of 372 is 2 x 2 x 3 x 31

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, 976) = 25376

GCD(416, 976) = ( 416 x 976 ) / 25376

GCD(416, 976) = 406016 / 25376

GCD(416, 976) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 727

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

LCM(16, 727) = 11632

GCD(16, 727) = ( 16 x 727 ) / 11632

GCD(16, 727) = 11632 / 11632

GCD(16, 727) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 372

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

LCM(1, 372) = 372

GCD(1, 372) = ( 1 x 372 ) / 372

GCD(1, 372) = 372 / 372

GCD(1, 372) = 1

GCD of 416, 976, 727, 372 is 1

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1. What is the GCD of 416, 976, 727, 372?

GCD of 416, 976, 727, 372 is 1

2. Where do I get the detailed procedure to find GCD of 416, 976, 727, 372?

You can find a detailed procedure to find GCD of 416, 976, 727, 372 on our page.

3. How to find GCD of 416, 976, 727, 372 on a calculator?

You can find the GCD of 416, 976, 727, 372 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.