GCD of 200, 484, 216, 622 Calculator

Given Input numbers are 200, 484, 216, 622

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

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 484 :

The positive integer divisors of 484 that completely divides 484 are.

1, 2, 4, 11, 22, 44, 121, 242, 484

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

Divisors of 622 :

The positive integer divisors of 622 that completely divides 622 are.

1, 2, 311, 622

GCD of numbers is the greatest common divisor

So, the GCD (200, 484, 216, 622) = 2.

Given numbers are 200, 484, 216, 622

The list of prime factors of all numbers are

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 484 are 2 x 2 x 11 x 11

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

Prime factors of 622 are 2 x 311

The highest common occurrence is 2¹

Therefore, GCD of 200, 484, 216, 622 is 2.

Given numbers are 200, 484, 216, 622

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

Apply this formula for all numbers.

Step1:

LCM(200, 484) = 24200

GCD(200, 484) = ( 200 x 484 ) / 24200

= 200 / 484

= 200

Step2:

LCM(4, 216) = 216

GCD(4, 216) = ( 4 x 216 ) / 216

= 4 / 216

= 4

Step3:

LCM(4, 622) = 1244

GCD(4, 622) = ( 4 x 622 ) / 1244

= 4 / 622

= 4

So, Greatest Common Divisor of 200, 484, 216, 622 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 683, 781, 474, 766
• GCD of 489, 914, 618, 549
• GCD of 975, 131, 930, 244
• GCD of 109, 256, 313, 351
• GCD of 123, 638, 185, 441

Given numbers are 200, 484, 216, 622
The greatest common divisor of numbers 200, 484, 216, 622 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 484, 216, 622 is 2.

1. What is the GCD of 200, 484, 216, 622?

GCD of given numbers 200, 484, 216, 622 is 2

2. How to calculate the greatest common divisor of 200, 484, 216, 622?

We can find the highest common divisor of 200, 484, 216, 622 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 200, 484, 216, 622 i.e 2.

3. How can I use the GCD of 200, 484, 216, 622Calculator?

Out the numbers 200, 484, 216, 622 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.