GCD of 280, 938, 559, 893 Calculator

Given Input numbers are 280, 938, 559, 893

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

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

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 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Divisors of 893

List of positive integer divisors of 893 that divides 893 without a remainder.

1, 19, 47, 893

Greatest Common Divisior

We found the divisors of 280, 938, 559, 893 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 280, 938, 559, 893 is 1.

Therefore, GCD of numbers 280, 938, 559, 893 is 1

Given Input Data is 280, 938, 559, 893

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

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 559 is 13 x 43

Prime Factorization of 893 is 19 x 47

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(280, 938) = 18760

GCD(280, 938) = ( 280 x 938 ) / 18760

GCD(280, 938) = 262640 / 18760

GCD(280, 938) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 559

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

LCM(14, 559) = 7826

GCD(14, 559) = ( 14 x 559 ) / 7826

GCD(14, 559) = 7826 / 7826

GCD(14, 559) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 893

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

LCM(1, 893) = 893

GCD(1, 893) = ( 1 x 893 ) / 893

GCD(1, 893) = 893 / 893

GCD(1, 893) = 1

GCD of 280, 938, 559, 893 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 124, 908, 217, 838
• GCD of 989, 974, 538, 980
• GCD of 501, 273, 113, 458
• GCD of 934, 958, 986, 180
• GCD of 655, 260, 835, 287

1. What is the GCD of 280, 938, 559, 893?

GCD of 280, 938, 559, 893 is 1

2. Where do I get the detailed procedure to find GCD of 280, 938, 559, 893?

You can find a detailed procedure to find GCD of 280, 938, 559, 893 on our page.

3. How to find GCD of 280, 938, 559, 893 on a calculator?

You can find the GCD of 280, 938, 559, 893 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.