GCD of 200, 733, 728, 289 Calculator

Given Input numbers are 200, 733, 728, 289

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 733 :

The positive integer divisors of 733 that completely divides 733 are.

1, 733

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

GCD of numbers is the greatest common divisor

So, the GCD (200, 733, 728, 289) = 1.

Given numbers are 200, 733, 728, 289

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 733 are 733

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 289 are 17 x 17

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

Given numbers are 200, 733, 728, 289

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

Apply this formula for all numbers.

Step1:

LCM(200, 733) = 146600

GCD(200, 733) = ( 200 x 733 ) / 146600

= 200 / 733

= 200

Step2:

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

= 1 / 728

= 1

Step3:

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

= 1 / 289

= 1

So, Greatest Common Divisor of 200, 733, 728, 289 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 325, 970, 287, 804
• GCD of 587, 625, 613, 856
• GCD of 861, 963, 633, 996
• GCD of 622, 873, 206, 252
• GCD of 334, 201, 135, 541

Given numbers are 200, 733, 728, 289
The greatest common divisor of numbers 200, 733, 728, 289 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 733, 728, 289 is 1.

1. What is the GCD of 200, 733, 728, 289?

GCD of given numbers 200, 733, 728, 289 is 1

2. How to calculate the greatest common divisor of 200, 733, 728, 289?

We can find the highest common divisor of 200, 733, 728, 289 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, 733, 728, 289 i.e 1.

3. How can I use the GCD of 200, 733, 728, 289Calculator?

Out the numbers 200, 733, 728, 289 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.