GCD of 414, 280, 100, 395 Calculator

Given Input numbers are 414, 280, 100, 395

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

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 395

List of positive integer divisors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Greatest Common Divisior

We found the divisors of 414, 280, 100, 395 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 414, 280, 100, 395 is 1.

Therefore, GCD of numbers 414, 280, 100, 395 is 1

Given Input Data is 414, 280, 100, 395

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

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 395 is 5 x 79

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(414, 280) = 57960

GCD(414, 280) = ( 414 x 280 ) / 57960

GCD(414, 280) = 115920 / 57960

GCD(414, 280) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 100

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

LCM(2, 100) = 100

GCD(2, 100) = ( 2 x 100 ) / 100

GCD(2, 100) = 200 / 100

GCD(2, 100) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 395

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

LCM(2, 395) = 790

GCD(2, 395) = ( 2 x 395 ) / 790

GCD(2, 395) = 790 / 790

GCD(2, 395) = 1

GCD of 414, 280, 100, 395 is 1

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1. What is the GCD of 414, 280, 100, 395?

GCD of 414, 280, 100, 395 is 1

2. Where do I get the detailed procedure to find GCD of 414, 280, 100, 395?

You can find a detailed procedure to find GCD of 414, 280, 100, 395 on our page.

3. How to find GCD of 414, 280, 100, 395 on a calculator?

You can find the GCD of 414, 280, 100, 395 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.