GCD of 20, 155, 685, 308 Calculator

Given Input numbers are 20, 155, 685, 308

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

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 155

List of positive integer divisors of 155 that divides 155 without a remainder.

1, 5, 31, 155

Divisors of 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Greatest Common Divisior

We found the divisors of 20, 155, 685, 308 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 155, 685, 308 is 1.

Therefore, GCD of numbers 20, 155, 685, 308 is 1

Given Input Data is 20, 155, 685, 308

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

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 155 is 5 x 31

Prime Factorization of 685 is 5 x 137

Prime Factorization of 308 is 2 x 2 x 7 x 11

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(20, 155) = 620

GCD(20, 155) = ( 20 x 155 ) / 620

GCD(20, 155) = 3100 / 620

GCD(20, 155) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 685

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

LCM(5, 685) = 685

GCD(5, 685) = ( 5 x 685 ) / 685

GCD(5, 685) = 3425 / 685

GCD(5, 685) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 308

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

LCM(5, 308) = 1540

GCD(5, 308) = ( 5 x 308 ) / 1540

GCD(5, 308) = 1540 / 1540

GCD(5, 308) = 1

GCD of 20, 155, 685, 308 is 1

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• GCD of 51, 371, 923, 569
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• GCD of 45, 441, 930, 637

1. What is the GCD of 20, 155, 685, 308?

GCD of 20, 155, 685, 308 is 1

2. Where do I get the detailed procedure to find GCD of 20, 155, 685, 308?

You can find a detailed procedure to find GCD of 20, 155, 685, 308 on our page.

3. How to find GCD of 20, 155, 685, 308 on a calculator?

You can find the GCD of 20, 155, 685, 308 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.