GCD of 59, 188, 289, 938 Calculator

Given Input numbers are 59, 188, 289, 938

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

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 938

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

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

Greatest Common Divisior

We found the divisors of 59, 188, 289, 938 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 59, 188, 289, 938 is 1.

Therefore, GCD of numbers 59, 188, 289, 938 is 1

Given Input Data is 59, 188, 289, 938

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

Prime Factorization of 59 is 59

Prime Factorization of 188 is 2 x 2 x 47

Prime Factorization of 289 is 17 x 17

Prime Factorization of 938 is 2 x 7 x 67

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(59, 188) = 11092

GCD(59, 188) = ( 59 x 188 ) / 11092

GCD(59, 188) = 11092 / 11092

GCD(59, 188) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 289

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

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

GCD(1, 289) = 289 / 289

GCD(1, 289) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 938

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

LCM(1, 938) = 938

GCD(1, 938) = ( 1 x 938 ) / 938

GCD(1, 938) = 938 / 938

GCD(1, 938) = 1

GCD of 59, 188, 289, 938 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 17, 541, 469, 584
• GCD of 55, 575, 270, 981
• GCD of 84, 587, 657, 499
• GCD of 80, 792, 106, 603
• GCD of 31, 786, 328, 361

1. What is the GCD of 59, 188, 289, 938?

GCD of 59, 188, 289, 938 is 1

2. Where do I get the detailed procedure to find GCD of 59, 188, 289, 938?

You can find a detailed procedure to find GCD of 59, 188, 289, 938 on our page.

3. How to find GCD of 59, 188, 289, 938 on a calculator?

You can find the GCD of 59, 188, 289, 938 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.