GCD of 576, 450, 897, 171 Calculator

Given Input numbers are 576, 450, 897, 171

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

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 897 :

The positive integer divisors of 897 that completely divides 897 are.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 171 :

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

1, 3, 9, 19, 57, 171

GCD of numbers is the greatest common divisor

So, the GCD (576, 450, 897, 171) = 3.

Given numbers are 576, 450, 897, 171

The list of prime factors of all numbers are

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 897 are 3 x 13 x 23

Prime factors of 171 are 3 x 3 x 19

The highest common occurrence is 3¹

Therefore, GCD of 576, 450, 897, 171 is 3.

Given numbers are 576, 450, 897, 171

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

Apply this formula for all numbers.

Step1:

LCM(576, 450) = 14400

GCD(576, 450) = ( 576 x 450 ) / 14400

= 576 / 450

= 576

Step2:

LCM(18, 897) = 5382

GCD(18, 897) = ( 18 x 897 ) / 5382

= 18 / 897

= 18

Step3:

LCM(3, 171) = 171

GCD(3, 171) = ( 3 x 171 ) / 171

= 3 / 171

= 3

So, Greatest Common Divisor of 576, 450, 897, 171 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 679, 248, 373, 576
• GCD of 961, 281, 787, 911
• GCD of 987, 696, 101, 398
• GCD of 565, 876, 327, 577
• GCD of 330, 991, 770, 189

Given numbers are 576, 450, 897, 171
The greatest common divisor of numbers 576, 450, 897, 171 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 576, 450, 897, 171 is 3.

1. What is the GCD of 576, 450, 897, 171?

GCD of given numbers 576, 450, 897, 171 is 3

2. How to calculate the greatest common divisor of 576, 450, 897, 171?

We can find the highest common divisor of 576, 450, 897, 171 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 576, 450, 897, 171 i.e 3.

3. How can I use the GCD of 576, 450, 897, 171Calculator?

Out the numbers 576, 450, 897, 171 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.