GCD of 820, 984, 450, 216 Calculator

Given Input numbers are 820, 984, 450, 216

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

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

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 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

GCD of numbers is the greatest common divisor

So, the GCD (820, 984, 450, 216) = 2.

Given numbers are 820, 984, 450, 216

The list of prime factors of all numbers are

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 820, 984, 450, 216 is 2.

Given numbers are 820, 984, 450, 216

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

Apply this formula for all numbers.

Step1:

LCM(820, 984) = 4920

GCD(820, 984) = ( 820 x 984 ) / 4920

= 820 / 984

= 820

Step2:

LCM(164, 450) = 36900

GCD(164, 450) = ( 164 x 450 ) / 36900

= 164 / 450

= 164

Step3:

LCM(2, 216) = 216

GCD(2, 216) = ( 2 x 216 ) / 216

= 2 / 216

= 2

So, Greatest Common Divisor of 820, 984, 450, 216 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 254, 945, 298, 791
• GCD of 835, 981, 369, 119
• GCD of 823, 203, 402, 482
• GCD of 209, 284, 799, 427
• GCD of 816, 288, 519, 140

Given numbers are 820, 984, 450, 216
The greatest common divisor of numbers 820, 984, 450, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 984, 450, 216 is 2.

1. What is the GCD of 820, 984, 450, 216?

GCD of given numbers 820, 984, 450, 216 is 2

2. How to calculate the greatest common divisor of 820, 984, 450, 216?

We can find the highest common divisor of 820, 984, 450, 216 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 820, 984, 450, 216 i.e 2.

3. How can I use the GCD of 820, 984, 450, 216Calculator?

Out the numbers 820, 984, 450, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.