GCD of 80, 609, 414, 368 Calculator

Given Input numbers are 80, 609, 414, 368

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

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

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 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Greatest Common Divisior

We found the divisors of 80, 609, 414, 368 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 80, 609, 414, 368 is 1.

Therefore, GCD of numbers 80, 609, 414, 368 is 1

Given Input Data is 80, 609, 414, 368

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

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 609 is 3 x 7 x 29

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

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

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(80, 609) = 48720

GCD(80, 609) = ( 80 x 609 ) / 48720

GCD(80, 609) = 48720 / 48720

GCD(80, 609) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 414

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

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

GCD(1, 414) = 414 / 414

GCD(1, 414) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 368

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

LCM(1, 368) = 368

GCD(1, 368) = ( 1 x 368 ) / 368

GCD(1, 368) = 368 / 368

GCD(1, 368) = 1

GCD of 80, 609, 414, 368 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 65, 746, 855, 348
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• GCD of 57, 735, 885, 615

1. What is the GCD of 80, 609, 414, 368?

GCD of 80, 609, 414, 368 is 1

2. Where do I get the detailed procedure to find GCD of 80, 609, 414, 368?

You can find a detailed procedure to find GCD of 80, 609, 414, 368 on our page.

3. How to find GCD of 80, 609, 414, 368 on a calculator?

You can find the GCD of 80, 609, 414, 368 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.