GCD of 806, 200, 16, 654 Calculator

Given Input numbers are 806, 200, 16, 654

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

Divisors of 806 :

The positive integer divisors of 806 that completely divides 806 are.

1, 2, 13, 26, 31, 62, 403, 806

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 16 :

The positive integer divisors of 16 that completely divides 16 are.

1, 2, 4, 8, 16

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

GCD of numbers is the greatest common divisor

So, the GCD (806, 200, 16, 654) = 2.

Given numbers are 806, 200, 16, 654

The list of prime factors of all numbers are

Prime factors of 806 are 2 x 13 x 31

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

Prime factors of 16 are 2 x 2 x 2 x 2

Prime factors of 654 are 2 x 3 x 109

The highest common occurrence is 2¹

Therefore, GCD of 806, 200, 16, 654 is 2.

Given numbers are 806, 200, 16, 654

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

Apply this formula for all numbers.

Step1:

LCM(806, 200) = 80600

GCD(806, 200) = ( 806 x 200 ) / 80600

= 806 / 200

= 806

Step2:

LCM(2, 16) = 16

GCD(2, 16) = ( 2 x 16 ) / 16

= 2 / 16

= 2

Step3:

LCM(2, 654) = 654

GCD(2, 654) = ( 2 x 654 ) / 654

= 2 / 654

= 2

So, Greatest Common Divisor of 806, 200, 16, 654 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 503, 256, 59, 377
• GCD of 858, 269, 91, 974
• GCD of 903, 696, 91, 660
• GCD of 940, 547, 97, 482
• GCD of 459, 126, 11, 591

Given numbers are 806, 200, 16, 654
The greatest common divisor of numbers 806, 200, 16, 654 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 806, 200, 16, 654 is 2.

1. What is the GCD of 806, 200, 16, 654?

GCD of given numbers 806, 200, 16, 654 is 2

2. How to calculate the greatest common divisor of 806, 200, 16, 654?

We can find the highest common divisor of 806, 200, 16, 654 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 806, 200, 16, 654 i.e 2.

3. How can I use the GCD of 806, 200, 16, 654Calculator?

Out the numbers 806, 200, 16, 654 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.