GCD of 450, 884, 522, 164 Calculator

Given Input numbers are 450, 884, 522, 164

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 884 :

The positive integer divisors of 884 that completely divides 884 are.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

GCD of numbers is the greatest common divisor

So, the GCD (450, 884, 522, 164) = 2.

Given numbers are 450, 884, 522, 164

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 884 are 2 x 2 x 13 x 17

Prime factors of 522 are 2 x 3 x 3 x 29

Prime factors of 164 are 2 x 2 x 41

The highest common occurrence is 2¹

Therefore, GCD of 450, 884, 522, 164 is 2.

Given numbers are 450, 884, 522, 164

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

Apply this formula for all numbers.

Step1:

LCM(450, 884) = 198900

GCD(450, 884) = ( 450 x 884 ) / 198900

= 450 / 884

= 450

Step2:

LCM(2, 522) = 522

GCD(2, 522) = ( 2 x 522 ) / 522

= 2 / 522

= 2

Step3:

LCM(2, 164) = 164

GCD(2, 164) = ( 2 x 164 ) / 164

= 2 / 164

= 2

So, Greatest Common Divisor of 450, 884, 522, 164 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 955, 395, 799, 447
• GCD of 934, 106, 377, 483
• GCD of 521, 883, 563, 613
• GCD of 654, 499, 329, 595
• GCD of 134, 570, 816, 985

Given numbers are 450, 884, 522, 164
The greatest common divisor of numbers 450, 884, 522, 164 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 450, 884, 522, 164 is 2.

1. What is the GCD of 450, 884, 522, 164?

GCD of given numbers 450, 884, 522, 164 is 2

2. How to calculate the greatest common divisor of 450, 884, 522, 164?

We can find the highest common divisor of 450, 884, 522, 164 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, 884, 522, 164 i.e 2.

3. How can I use the GCD of 450, 884, 522, 164Calculator?

Out the numbers 450, 884, 522, 164 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.