GCD of 304, 144, 171, 825 Calculator

Given Input numbers are 304, 144, 171, 825

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

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 171 :

The positive integer divisors of 171 that completely divides 171 are.

1, 3, 9, 19, 57, 171

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

GCD of numbers is the greatest common divisor

So, the GCD (304, 144, 171, 825) = 1.

Given numbers are 304, 144, 171, 825

The list of prime factors of all numbers are

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 171 are 3 x 3 x 19

Prime factors of 825 are 3 x 5 x 5 x 11

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 304, 144, 171, 825

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

Apply this formula for all numbers.

Step1:

LCM(304, 144) = 2736

GCD(304, 144) = ( 304 x 144 ) / 2736

= 304 / 144

= 304

Step2:

LCM(16, 171) = 2736

GCD(16, 171) = ( 16 x 171 ) / 2736

= 16 / 171

= 16

Step3:

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

= 1 / 825

= 1

So, Greatest Common Divisor of 304, 144, 171, 825 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 943, 459, 246, 669
• GCD of 632, 601, 279, 162
• GCD of 101, 244, 329, 119
• GCD of 279, 107, 403, 568
• GCD of 945, 204, 703, 193

Given numbers are 304, 144, 171, 825
The greatest common divisor of numbers 304, 144, 171, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 304, 144, 171, 825 is 1.

1. What is the GCD of 304, 144, 171, 825?

GCD of given numbers 304, 144, 171, 825 is 1

2. How to calculate the greatest common divisor of 304, 144, 171, 825?

We can find the highest common divisor of 304, 144, 171, 825 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 304, 144, 171, 825 i.e 1.

3. How can I use the GCD of 304, 144, 171, 825Calculator?

Out the numbers 304, 144, 171, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.