GCD of 688, 174, 60, 219 Calculator

Given Input numbers are 688, 174, 60, 219

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

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 219

List of positive integer divisors of 219 that divides 219 without a remainder.

1, 3, 73, 219

Greatest Common Divisior

We found the divisors of 688, 174, 60, 219 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 688, 174, 60, 219 is 1.

Therefore, GCD of numbers 688, 174, 60, 219 is 1

Given Input Data is 688, 174, 60, 219

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

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 219 is 3 x 73

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(688, 174) = 59856

GCD(688, 174) = ( 688 x 174 ) / 59856

GCD(688, 174) = 119712 / 59856

GCD(688, 174) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 60

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

LCM(2, 60) = 60

GCD(2, 60) = ( 2 x 60 ) / 60

GCD(2, 60) = 120 / 60

GCD(2, 60) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 219

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

LCM(2, 219) = 438

GCD(2, 219) = ( 2 x 219 ) / 438

GCD(2, 219) = 438 / 438

GCD(2, 219) = 1

GCD of 688, 174, 60, 219 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 577, 272, 20, 967
• GCD of 405, 650, 55, 610
• GCD of 178, 178, 81, 944
• GCD of 256, 688, 34, 881
• GCD of 411, 231, 79, 953

1. What is the GCD of 688, 174, 60, 219?

GCD of 688, 174, 60, 219 is 1

2. Where do I get the detailed procedure to find GCD of 688, 174, 60, 219?

You can find a detailed procedure to find GCD of 688, 174, 60, 219 on our page.

3. How to find GCD of 688, 174, 60, 219 on a calculator?

You can find the GCD of 688, 174, 60, 219 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.