GCD of 200, 522, 300, 606 Calculator

Given Input numbers are 200, 522, 300, 606

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 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 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 606 :

The positive integer divisors of 606 that completely divides 606 are.

1, 2, 3, 6, 101, 202, 303, 606

GCD of numbers is the greatest common divisor

So, the GCD (200, 522, 300, 606) = 2.

Given numbers are 200, 522, 300, 606

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 522 are 2 x 3 x 3 x 29

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 606 are 2 x 3 x 101

The highest common occurrence is 2¹

Therefore, GCD of 200, 522, 300, 606 is 2.

Given numbers are 200, 522, 300, 606

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

Apply this formula for all numbers.

Step1:

LCM(200, 522) = 52200

GCD(200, 522) = ( 200 x 522 ) / 52200

= 200 / 522

= 200

Step2:

LCM(2, 300) = 300

GCD(2, 300) = ( 2 x 300 ) / 300

= 2 / 300

= 2

Step3:

LCM(2, 606) = 606

GCD(2, 606) = ( 2 x 606 ) / 606

= 2 / 606

= 2

So, Greatest Common Divisor of 200, 522, 300, 606 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 442, 299, 659, 491
• GCD of 691, 438, 201, 666
• GCD of 680, 784, 102, 401
• GCD of 695, 347, 528, 236
• GCD of 250, 834, 760, 973

Given numbers are 200, 522, 300, 606
The greatest common divisor of numbers 200, 522, 300, 606 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 522, 300, 606 is 2.

1. What is the GCD of 200, 522, 300, 606?

GCD of given numbers 200, 522, 300, 606 is 2

2. How to calculate the greatest common divisor of 200, 522, 300, 606?

We can find the highest common divisor of 200, 522, 300, 606 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, 522, 300, 606 i.e 2.

3. How can I use the GCD of 200, 522, 300, 606Calculator?

Out the numbers 200, 522, 300, 606 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.