GCD of 288, 436, 493, 200 Calculator

Given Input numbers are 288, 436, 493, 200

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

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 436 :

The positive integer divisors of 436 that completely divides 436 are.

1, 2, 4, 109, 218, 436

Divisors of 493 :

The positive integer divisors of 493 that completely divides 493 are.

1, 17, 29, 493

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

GCD of numbers is the greatest common divisor

So, the GCD (288, 436, 493, 200) = 1.

Given numbers are 288, 436, 493, 200

The list of prime factors of all numbers are

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 436 are 2 x 2 x 109

Prime factors of 493 are 17 x 29

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

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

Given numbers are 288, 436, 493, 200

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

Apply this formula for all numbers.

Step1:

LCM(288, 436) = 31392

GCD(288, 436) = ( 288 x 436 ) / 31392

= 288 / 436

= 288

Step2:

LCM(4, 493) = 1972

GCD(4, 493) = ( 4 x 493 ) / 1972

= 4 / 493

= 4

Step3:

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

= 1 / 200

= 1

So, Greatest Common Divisor of 288, 436, 493, 200 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 822, 293, 754, 797
• GCD of 232, 969, 759, 318
• GCD of 819, 255, 257, 141
• GCD of 496, 504, 469, 750
• GCD of 813, 349, 643, 427

Given numbers are 288, 436, 493, 200
The greatest common divisor of numbers 288, 436, 493, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 288, 436, 493, 200 is 1.

1. What is the GCD of 288, 436, 493, 200?

GCD of given numbers 288, 436, 493, 200 is 1

2. How to calculate the greatest common divisor of 288, 436, 493, 200?

We can find the highest common divisor of 288, 436, 493, 200 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 288, 436, 493, 200 i.e 1.

3. How can I use the GCD of 288, 436, 493, 200Calculator?

Out the numbers 288, 436, 493, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.