GCD of 450, 171, 752, 729 Calculator

Given Input numbers are 450, 171, 752, 729

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

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 171 :

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

1, 3, 9, 19, 57, 171

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 729 :

The positive integer divisors of 729 that completely divides 729 are.

1, 3, 9, 27, 81, 243, 729

GCD of numbers is the greatest common divisor

So, the GCD (450, 171, 752, 729) = 1.

Given numbers are 450, 171, 752, 729

The list of prime factors of all numbers are

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

Prime factors of 171 are 3 x 3 x 19

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3

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

Given numbers are 450, 171, 752, 729

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

Apply this formula for all numbers.

Step1:

LCM(450, 171) = 8550

GCD(450, 171) = ( 450 x 171 ) / 8550

= 450 / 171

= 450

Step2:

LCM(9, 752) = 6768

GCD(9, 752) = ( 9 x 752 ) / 6768

= 9 / 752

= 9

Step3:

LCM(1, 729) = 729

GCD(1, 729) = ( 1 x 729 ) / 729

= 1 / 729

= 1

So, Greatest Common Divisor of 450, 171, 752, 729 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 967, 257, 411, 563
• GCD of 714, 882, 595, 858
• GCD of 582, 518, 529, 126
• GCD of 570, 542, 506, 632
• GCD of 338, 762, 405, 712

Given numbers are 450, 171, 752, 729
The greatest common divisor of numbers 450, 171, 752, 729 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 450, 171, 752, 729 is 1.

1. What is the GCD of 450, 171, 752, 729?

GCD of given numbers 450, 171, 752, 729 is 1

2. How to calculate the greatest common divisor of 450, 171, 752, 729?

We can find the highest common divisor of 450, 171, 752, 729 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 450, 171, 752, 729 i.e 1.

3. How can I use the GCD of 450, 171, 752, 729Calculator?

Out the numbers 450, 171, 752, 729 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.