GCD of 174, 324, 504 Calculator

Given Input numbers are 174, 324, 504

In the factoring method, we have to find the divisors of all numbers

Divisors of 174 :

The positive integer divisors of 174 that completely divides 174 are.

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

Divisors of 324 :

The positive integer divisors of 324 that completely divides 324 are.

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

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

GCD of numbers is the greatest common divisor

So, the GCD (174, 324, 504) = 6.

Given numbers are 174, 324, 504

The list of prime factors of all numbers are

Prime factors of 174 are 2 x 3 x 29

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 174, 324, 504 is 6.

Given numbers are 174, 324, 504

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(174, 324) = 9396

GCD(174, 324) = ( 174 x 324 ) / 9396

= 174 / 324

= 174

Step2:

LCM(6, 504) = 504

GCD(6, 504) = ( 6 x 504 ) / 504

= 6 / 504

= 6

So, Greatest Common Divisor of 174, 324, 504 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 160, 444, 942
• GCD of 798, 851, 873
• GCD of 251, 513, 746
• GCD of 116, 392, 232
• GCD of 658, 251, 887

Given numbers are 174, 324, 504
The greatest common divisor of numbers 174, 324, 504 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 174, 324, 504 is 6.

1. What is the GCD of 174, 324, 504?

GCD of given numbers 174, 324, 504 is 6

2. How to calculate the greatest common divisor of 174, 324, 504?

We can find the highest common divisor of 174, 324, 504 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 174, 324, 504 i.e 6.

3. How can I use the GCD of 174, 324, 504Calculator?

Out the numbers 174, 324, 504 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.