GCD of 459, 172, 471, 990 Calculator

Given Input numbers are 459, 172, 471, 990

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

Divisors of 459 :

The positive integer divisors of 459 that completely divides 459 are.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 172 :

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

1, 2, 4, 43, 86, 172

Divisors of 471 :

The positive integer divisors of 471 that completely divides 471 are.

1, 3, 157, 471

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

GCD of numbers is the greatest common divisor

So, the GCD (459, 172, 471, 990) = 1.

Given numbers are 459, 172, 471, 990

The list of prime factors of all numbers are

Prime factors of 459 are 3 x 3 x 3 x 17

Prime factors of 172 are 2 x 2 x 43

Prime factors of 471 are 3 x 157

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

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

Given numbers are 459, 172, 471, 990

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

Apply this formula for all numbers.

Step1:

LCM(459, 172) = 78948

GCD(459, 172) = ( 459 x 172 ) / 78948

= 459 / 172

= 459

Step2:

LCM(1, 471) = 471

GCD(1, 471) = ( 1 x 471 ) / 471

= 1 / 471

= 1

Step3:

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

= 1 / 990

= 1

So, Greatest Common Divisor of 459, 172, 471, 990 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 599, 306, 934, 215
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• GCD of 564, 462, 174, 938

Given numbers are 459, 172, 471, 990
The greatest common divisor of numbers 459, 172, 471, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 459, 172, 471, 990 is 1.

1. What is the GCD of 459, 172, 471, 990?

GCD of given numbers 459, 172, 471, 990 is 1

2. How to calculate the greatest common divisor of 459, 172, 471, 990?

We can find the highest common divisor of 459, 172, 471, 990 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 459, 172, 471, 990 i.e 1.

3. How can I use the GCD of 459, 172, 471, 990Calculator?

Out the numbers 459, 172, 471, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.