GCD of 416, 380, 687, 379 Calculator

Given Input numbers are 416, 380, 687, 379

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 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 379

List of positive integer divisors of 379 that divides 379 without a remainder.

1, 379

Greatest Common Divisior

We found the divisors of 416, 380, 687, 379 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 416, 380, 687, 379 is 1.

Therefore, GCD of numbers 416, 380, 687, 379 is 1

Given Input Data is 416, 380, 687, 379

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 380 is 2 x 2 x 5 x 19

Prime Factorization of 687 is 3 x 229

Prime Factorization of 379 is 379

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, 380) = 39520

GCD(416, 380) = ( 416 x 380 ) / 39520

GCD(416, 380) = 158080 / 39520

GCD(416, 380) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 687

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

LCM(4, 687) = 2748

GCD(4, 687) = ( 4 x 687 ) / 2748

GCD(4, 687) = 2748 / 2748

GCD(4, 687) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 379

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

LCM(1, 379) = 379

GCD(1, 379) = ( 1 x 379 ) / 379

GCD(1, 379) = 379 / 379

GCD(1, 379) = 1

GCD of 416, 380, 687, 379 is 1

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1. What is the GCD of 416, 380, 687, 379?

GCD of 416, 380, 687, 379 is 1

2. Where do I get the detailed procedure to find GCD of 416, 380, 687, 379?

You can find a detailed procedure to find GCD of 416, 380, 687, 379 on our page.

3. How to find GCD of 416, 380, 687, 379 on a calculator?

You can find the GCD of 416, 380, 687, 379 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.