GCD of 324, 654, 86, 178 Calculator

Given Input numbers are 324, 654, 86, 178

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

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

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 324, 654, 86, 178 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 324, 654, 86, 178 is 2.

Therefore, GCD of numbers 324, 654, 86, 178 is 2

Given Input Data is 324, 654, 86, 178

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

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 86 is 2 x 43

Prime Factorization of 178 is 2 x 89

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(324, 654) = 35316

GCD(324, 654) = ( 324 x 654 ) / 35316

GCD(324, 654) = 211896 / 35316

GCD(324, 654) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 86

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

LCM(6, 86) = 258

GCD(6, 86) = ( 6 x 86 ) / 258

GCD(6, 86) = 516 / 258

GCD(6, 86) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 178

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

LCM(2, 178) = 178

GCD(2, 178) = ( 2 x 178 ) / 178

GCD(2, 178) = 356 / 178

GCD(2, 178) = 2

GCD of 324, 654, 86, 178 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 828, 171, 25, 940
• GCD of 128, 317, 29, 876
• GCD of 975, 355, 11, 622
• GCD of 315, 274, 21, 252
• GCD of 465, 507, 73, 331

1. What is the GCD of 324, 654, 86, 178?

GCD of 324, 654, 86, 178 is 2

2. Where do I get the detailed procedure to find GCD of 324, 654, 86, 178?

You can find a detailed procedure to find GCD of 324, 654, 86, 178 on our page.

3. How to find GCD of 324, 654, 86, 178 on a calculator?

You can find the GCD of 324, 654, 86, 178 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.