GCD of 505, 334, 80, 684 Calculator

Given Input numbers are 505, 334, 80, 684

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

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

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 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Greatest Common Divisior

We found the divisors of 505, 334, 80, 684 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 505, 334, 80, 684 is 1.

Therefore, GCD of numbers 505, 334, 80, 684 is 1

Given Input Data is 505, 334, 80, 684

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

Prime Factorization of 505 is 5 x 101

Prime Factorization of 334 is 2 x 167

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

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

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(505, 334) = 168670

GCD(505, 334) = ( 505 x 334 ) / 168670

GCD(505, 334) = 168670 / 168670

GCD(505, 334) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 80

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

LCM(1, 80) = 80

GCD(1, 80) = ( 1 x 80 ) / 80

GCD(1, 80) = 80 / 80

GCD(1, 80) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 684

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

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

GCD(1, 684) = 684 / 684

GCD(1, 684) = 1

GCD of 505, 334, 80, 684 is 1

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• GCD of 789, 642, 24, 376
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• GCD of 311, 180, 48, 487

1. What is the GCD of 505, 334, 80, 684?

GCD of 505, 334, 80, 684 is 1

2. Where do I get the detailed procedure to find GCD of 505, 334, 80, 684?

You can find a detailed procedure to find GCD of 505, 334, 80, 684 on our page.

3. How to find GCD of 505, 334, 80, 684 on a calculator?

You can find the GCD of 505, 334, 80, 684 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.