GCD of 200, 730, 450, 449 Calculator

Given Input numbers are 200, 730, 450, 449

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 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

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 449 :

The positive integer divisors of 449 that completely divides 449 are.

1, 449

GCD of numbers is the greatest common divisor

So, the GCD (200, 730, 450, 449) = 1.

Given numbers are 200, 730, 450, 449

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 730 are 2 x 5 x 73

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

Prime factors of 449 are 449

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 200, 730, 450, 449

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

Apply this formula for all numbers.

Step1:

LCM(200, 730) = 14600

GCD(200, 730) = ( 200 x 730 ) / 14600

= 200 / 730

= 200

Step2:

LCM(10, 450) = 450

GCD(10, 450) = ( 10 x 450 ) / 450

= 10 / 450

= 10

Step3:

LCM(10, 449) = 4490

GCD(10, 449) = ( 10 x 449 ) / 4490

= 10 / 449

= 10

So, Greatest Common Divisor of 200, 730, 450, 449 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 527, 314, 586, 723
• GCD of 869, 755, 220, 503
• GCD of 609, 916, 540, 856
• GCD of 745, 237, 209, 229
• GCD of 777, 259, 982, 303

Given numbers are 200, 730, 450, 449
The greatest common divisor of numbers 200, 730, 450, 449 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 730, 450, 449 is 1.

1. What is the GCD of 200, 730, 450, 449?

GCD of given numbers 200, 730, 450, 449 is 1

2. How to calculate the greatest common divisor of 200, 730, 450, 449?

We can find the highest common divisor of 200, 730, 450, 449 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, 730, 450, 449 i.e 1.

3. How can I use the GCD of 200, 730, 450, 449Calculator?

Out the numbers 200, 730, 450, 449 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.