GCD of 150, 459, 516, 573 Calculator

Given Input numbers are 150, 459, 516, 573

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

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 459 :

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

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

Divisors of 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 573 :

The positive integer divisors of 573 that completely divides 573 are.

1, 3, 191, 573

GCD of numbers is the greatest common divisor

So, the GCD (150, 459, 516, 573) = 3.

Given numbers are 150, 459, 516, 573

The list of prime factors of all numbers are

Prime factors of 150 are 2 x 3 x 5 x 5

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

Prime factors of 516 are 2 x 2 x 3 x 43

Prime factors of 573 are 3 x 191

The highest common occurrence is 3¹

Therefore, GCD of 150, 459, 516, 573 is 3.

Given numbers are 150, 459, 516, 573

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

Apply this formula for all numbers.

Step1:

LCM(150, 459) = 22950

GCD(150, 459) = ( 150 x 459 ) / 22950

= 150 / 459

= 150

Step2:

LCM(3, 516) = 516

GCD(3, 516) = ( 3 x 516 ) / 516

= 3 / 516

= 3

Step3:

LCM(3, 573) = 573

GCD(3, 573) = ( 3 x 573 ) / 573

= 3 / 573

= 3

So, Greatest Common Divisor of 150, 459, 516, 573 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 723, 997, 738, 945
• GCD of 426, 327, 145, 518
• GCD of 822, 975, 416, 113
• GCD of 952, 913, 565, 771
• GCD of 457, 108, 573, 122

Given numbers are 150, 459, 516, 573
The greatest common divisor of numbers 150, 459, 516, 573 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 459, 516, 573 is 3.

1. What is the GCD of 150, 459, 516, 573?

GCD of given numbers 150, 459, 516, 573 is 3

2. How to calculate the greatest common divisor of 150, 459, 516, 573?

We can find the highest common divisor of 150, 459, 516, 573 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 150, 459, 516, 573 i.e 3.

3. How can I use the GCD of 150, 459, 516, 573Calculator?

Out the numbers 150, 459, 516, 573 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.