GCD of 106, 681, 59, 178 Calculator

Given Input numbers are 106, 681, 59, 178

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

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 681

List of positive integer divisors of 681 that divides 681 without a remainder.

1, 3, 227, 681

Divisors of 59

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

1, 59

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Greatest Common Divisior

We found the divisors of 106, 681, 59, 178 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 106, 681, 59, 178 is 1.

Therefore, GCD of numbers 106, 681, 59, 178 is 1

Given Input Data is 106, 681, 59, 178

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

Prime Factorization of 106 is 2 x 53

Prime Factorization of 681 is 3 x 227

Prime Factorization of 59 is 59

Prime Factorization of 178 is 2 x 89

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(106, 681) = 72186

GCD(106, 681) = ( 106 x 681 ) / 72186

GCD(106, 681) = 72186 / 72186

GCD(106, 681) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 59

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

LCM(1, 59) = 59

GCD(1, 59) = ( 1 x 59 ) / 59

GCD(1, 59) = 59 / 59

GCD(1, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 178

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

LCM(1, 178) = 178

GCD(1, 178) = ( 1 x 178 ) / 178

GCD(1, 178) = 178 / 178

GCD(1, 178) = 1

GCD of 106, 681, 59, 178 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 560, 192, 21, 814
• GCD of 362, 862, 22, 794
• GCD of 634, 499, 58, 325
• GCD of 492, 418, 34, 765
• GCD of 125, 837, 11, 272

1. What is the GCD of 106, 681, 59, 178?

GCD of 106, 681, 59, 178 is 1

2. Where do I get the detailed procedure to find GCD of 106, 681, 59, 178?

You can find a detailed procedure to find GCD of 106, 681, 59, 178 on our page.

3. How to find GCD of 106, 681, 59, 178 on a calculator?

You can find the GCD of 106, 681, 59, 178 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.