GCD of 800, 408, 668, 654 Calculator

Given Input numbers are 800, 408, 668, 654

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

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 668 :

The positive integer divisors of 668 that completely divides 668 are.

1, 2, 4, 167, 334, 668

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 (800, 408, 668, 654) = 2.

Given numbers are 800, 408, 668, 654

The list of prime factors of all numbers are

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 668 are 2 x 2 x 167

Prime factors of 654 are 2 x 3 x 109

The highest common occurrence is 2¹

Therefore, GCD of 800, 408, 668, 654 is 2.

Given numbers are 800, 408, 668, 654

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

Apply this formula for all numbers.

Step1:

LCM(800, 408) = 40800

GCD(800, 408) = ( 800 x 408 ) / 40800

= 800 / 408

= 800

Step2:

LCM(8, 668) = 1336

GCD(8, 668) = ( 8 x 668 ) / 1336

= 8 / 668

= 8

Step3:

LCM(4, 654) = 1308

GCD(4, 654) = ( 4 x 654 ) / 1308

= 4 / 654

= 4

So, Greatest Common Divisor of 800, 408, 668, 654 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 325, 368, 148, 100
• GCD of 938, 808, 916, 835
• GCD of 712, 774, 475, 832
• GCD of 934, 180, 198, 131
• GCD of 696, 386, 317, 230

Given numbers are 800, 408, 668, 654
The greatest common divisor of numbers 800, 408, 668, 654 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 408, 668, 654 is 2.

1. What is the GCD of 800, 408, 668, 654?

GCD of given numbers 800, 408, 668, 654 is 2

2. How to calculate the greatest common divisor of 800, 408, 668, 654?

We can find the highest common divisor of 800, 408, 668, 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 800, 408, 668, 654 i.e 2.

3. How can I use the GCD of 800, 408, 668, 654Calculator?

Out the numbers 800, 408, 668, 654 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.