GCD of 388, 420, 338, 485 Calculator

Given Input numbers are 388, 420, 338, 485

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

Divisors of 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 485

List of positive integer divisors of 485 that divides 485 without a remainder.

1, 5, 97, 485

Greatest Common Divisior

We found the divisors of 388, 420, 338, 485 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 388, 420, 338, 485 is 1.

Therefore, GCD of numbers 388, 420, 338, 485 is 1

Given Input Data is 388, 420, 338, 485

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

Prime Factorization of 388 is 2 x 2 x 97

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 485 is 5 x 97

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(388, 420) = 40740

GCD(388, 420) = ( 388 x 420 ) / 40740

GCD(388, 420) = 162960 / 40740

GCD(388, 420) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 338

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

LCM(4, 338) = 676

GCD(4, 338) = ( 4 x 338 ) / 676

GCD(4, 338) = 1352 / 676

GCD(4, 338) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 485

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

LCM(2, 485) = 970

GCD(2, 485) = ( 2 x 485 ) / 970

GCD(2, 485) = 970 / 970

GCD(2, 485) = 1

GCD of 388, 420, 338, 485 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 502, 567, 598, 337
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• GCD of 775, 338, 890, 290
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• GCD of 481, 150, 254, 876

1. What is the GCD of 388, 420, 338, 485?

GCD of 388, 420, 338, 485 is 1

2. Where do I get the detailed procedure to find GCD of 388, 420, 338, 485?

You can find a detailed procedure to find GCD of 388, 420, 338, 485 on our page.

3. How to find GCD of 388, 420, 338, 485 on a calculator?

You can find the GCD of 388, 420, 338, 485 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.