GCD of 460, 172, 181, 729 Calculator

Given Input numbers are 460, 172, 181, 729

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

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

Divisors of 181 :

The positive integer divisors of 181 that completely divides 181 are.

1, 181

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 (460, 172, 181, 729) = 1.

Given numbers are 460, 172, 181, 729

The list of prime factors of all numbers are

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 172 are 2 x 2 x 43

Prime factors of 181 are 181

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 460, 172, 181, 729

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

Apply this formula for all numbers.

Step1:

LCM(460, 172) = 19780

GCD(460, 172) = ( 460 x 172 ) / 19780

= 460 / 172

= 460

Step2:

LCM(4, 181) = 724

GCD(4, 181) = ( 4 x 181 ) / 724

= 4 / 181

= 4

Step3:

LCM(1, 729) = 729

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

= 1 / 729

= 1

So, Greatest Common Divisor of 460, 172, 181, 729 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 614, 556, 883, 996
• GCD of 607, 423, 186, 222
• GCD of 597, 875, 213, 927
• GCD of 676, 413, 172, 209
• GCD of 305, 726, 751, 594

Given numbers are 460, 172, 181, 729
The greatest common divisor of numbers 460, 172, 181, 729 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 172, 181, 729 is 1.

1. What is the GCD of 460, 172, 181, 729?

GCD of given numbers 460, 172, 181, 729 is 1

2. How to calculate the greatest common divisor of 460, 172, 181, 729?

We can find the highest common divisor of 460, 172, 181, 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 460, 172, 181, 729 i.e 1.

3. How can I use the GCD of 460, 172, 181, 729Calculator?

Out the numbers 460, 172, 181, 729 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.