GCD of 450, 516, 328, 342 Calculator

Given Input numbers are 450, 516, 328, 342

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 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 328 :

The positive integer divisors of 328 that completely divides 328 are.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

GCD of numbers is the greatest common divisor

So, the GCD (450, 516, 328, 342) = 2.

Given numbers are 450, 516, 328, 342

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 516 are 2 x 2 x 3 x 43

Prime factors of 328 are 2 x 2 x 2 x 41

Prime factors of 342 are 2 x 3 x 3 x 19

The highest common occurrence is 2¹

Therefore, GCD of 450, 516, 328, 342 is 2.

Given numbers are 450, 516, 328, 342

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

Apply this formula for all numbers.

Step1:

LCM(450, 516) = 38700

GCD(450, 516) = ( 450 x 516 ) / 38700

= 450 / 516

= 450

Step2:

LCM(6, 328) = 984

GCD(6, 328) = ( 6 x 328 ) / 984

= 6 / 328

= 6

Step3:

LCM(2, 342) = 342

GCD(2, 342) = ( 2 x 342 ) / 342

= 2 / 342

= 2

So, Greatest Common Divisor of 450, 516, 328, 342 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 122, 909, 457, 374
• GCD of 990, 811, 252, 674
• GCD of 630, 135, 995, 716
• GCD of 297, 607, 766, 352
• GCD of 415, 711, 252, 949

Given numbers are 450, 516, 328, 342
The greatest common divisor of numbers 450, 516, 328, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 450, 516, 328, 342 is 2.

1. What is the GCD of 450, 516, 328, 342?

GCD of given numbers 450, 516, 328, 342 is 2

2. How to calculate the greatest common divisor of 450, 516, 328, 342?

We can find the highest common divisor of 450, 516, 328, 342 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, 516, 328, 342 i.e 2.

3. How can I use the GCD of 450, 516, 328, 342Calculator?

Out the numbers 450, 516, 328, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.