GCD of 938, 336, 87, 819 Calculator

Given Input numbers are 938, 336, 87, 819

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 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Greatest Common Divisior

We found the divisors of 938, 336, 87, 819 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 938, 336, 87, 819 is 1.

Therefore, GCD of numbers 938, 336, 87, 819 is 1

Given Input Data is 938, 336, 87, 819

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 336 is 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 87 is 3 x 29

Prime Factorization of 819 is 3 x 3 x 7 x 13

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, 336) = 22512

GCD(938, 336) = ( 938 x 336 ) / 22512

GCD(938, 336) = 315168 / 22512

GCD(938, 336) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 87

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

LCM(14, 87) = 1218

GCD(14, 87) = ( 14 x 87 ) / 1218

GCD(14, 87) = 1218 / 1218

GCD(14, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 819

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

LCM(1, 819) = 819

GCD(1, 819) = ( 1 x 819 ) / 819

GCD(1, 819) = 819 / 819

GCD(1, 819) = 1

GCD of 938, 336, 87, 819 is 1

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1. What is the GCD of 938, 336, 87, 819?

GCD of 938, 336, 87, 819 is 1

2. Where do I get the detailed procedure to find GCD of 938, 336, 87, 819?

You can find a detailed procedure to find GCD of 938, 336, 87, 819 on our page.

3. How to find GCD of 938, 336, 87, 819 on a calculator?

You can find the GCD of 938, 336, 87, 819 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.