GCD of 938, 990, 930, 255 Calculator

Given Input numbers are 938, 990, 930, 255

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

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 930

List of positive integer divisors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Greatest Common Divisior

We found the divisors of 938, 990, 930, 255 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 938, 990, 930, 255 is 1.

Therefore, GCD of numbers 938, 990, 930, 255 is 1

Given Input Data is 938, 990, 930, 255

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

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 930 is 2 x 3 x 5 x 31

Prime Factorization of 255 is 3 x 5 x 17

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(938, 990) = 464310

GCD(938, 990) = ( 938 x 990 ) / 464310

GCD(938, 990) = 928620 / 464310

GCD(938, 990) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 930

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

LCM(2, 930) = 930

GCD(2, 930) = ( 2 x 930 ) / 930

GCD(2, 930) = 1860 / 930

GCD(2, 930) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 255

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

LCM(2, 255) = 510

GCD(2, 255) = ( 2 x 255 ) / 510

GCD(2, 255) = 510 / 510

GCD(2, 255) = 1

GCD of 938, 990, 930, 255 is 1

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1. What is the GCD of 938, 990, 930, 255?

GCD of 938, 990, 930, 255 is 1

2. Where do I get the detailed procedure to find GCD of 938, 990, 930, 255?

You can find a detailed procedure to find GCD of 938, 990, 930, 255 on our page.

3. How to find GCD of 938, 990, 930, 255 on a calculator?

You can find the GCD of 938, 990, 930, 255 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.