GCD of 64, 185, 318, 174 Calculator

Given Input numbers are 64, 185, 318, 174

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

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 174

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

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

Greatest Common Divisior

We found the divisors of 64, 185, 318, 174 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 64, 185, 318, 174 is 1.

Therefore, GCD of numbers 64, 185, 318, 174 is 1

Given Input Data is 64, 185, 318, 174

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

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 185 is 5 x 37

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 174 is 2 x 3 x 29

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(64, 185) = 11840

GCD(64, 185) = ( 64 x 185 ) / 11840

GCD(64, 185) = 11840 / 11840

GCD(64, 185) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 318

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

LCM(1, 318) = 318

GCD(1, 318) = ( 1 x 318 ) / 318

GCD(1, 318) = 318 / 318

GCD(1, 318) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 174

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

LCM(1, 174) = 174

GCD(1, 174) = ( 1 x 174 ) / 174

GCD(1, 174) = 174 / 174

GCD(1, 174) = 1

GCD of 64, 185, 318, 174 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 42, 528, 716, 576
• GCD of 18, 860, 290, 314
• GCD of 27, 394, 668, 874
• GCD of 48, 367, 763, 128
• GCD of 32, 958, 348, 189

1. What is the GCD of 64, 185, 318, 174?

GCD of 64, 185, 318, 174 is 1

2. Where do I get the detailed procedure to find GCD of 64, 185, 318, 174?

You can find a detailed procedure to find GCD of 64, 185, 318, 174 on our page.

3. How to find GCD of 64, 185, 318, 174 on a calculator?

You can find the GCD of 64, 185, 318, 174 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.