GCD of 172, 344, 66, 993 Calculator

Given Input numbers are 172, 344, 66, 993

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

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

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

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Greatest Common Divisior

We found the divisors of 172, 344, 66, 993 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 344, 66, 993 is 1.

Therefore, GCD of numbers 172, 344, 66, 993 is 1

Given Input Data is 172, 344, 66, 993

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

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 993 is 3 x 331

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(172, 344) = 344

GCD(172, 344) = ( 172 x 344 ) / 344

GCD(172, 344) = 59168 / 344

GCD(172, 344) = 172

Step2:

Here we consider the GCD from the above i.e. 172 as first number and the next as 66

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

LCM(172, 66) = 5676

GCD(172, 66) = ( 172 x 66 ) / 5676

GCD(172, 66) = 11352 / 5676

GCD(172, 66) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 993

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

LCM(2, 993) = 1986

GCD(2, 993) = ( 2 x 993 ) / 1986

GCD(2, 993) = 1986 / 1986

GCD(2, 993) = 1

GCD of 172, 344, 66, 993 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 798, 339, 24, 133
• GCD of 153, 682, 70, 937
• GCD of 455, 480, 51, 904
• GCD of 444, 374, 37, 188
• GCD of 504, 165, 54, 932

1. What is the GCD of 172, 344, 66, 993?

GCD of 172, 344, 66, 993 is 1

2. Where do I get the detailed procedure to find GCD of 172, 344, 66, 993?

You can find a detailed procedure to find GCD of 172, 344, 66, 993 on our page.

3. How to find GCD of 172, 344, 66, 993 on a calculator?

You can find the GCD of 172, 344, 66, 993 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.