GCD of 318, 500, 800, 128 Calculator

Given Input numbers are 318, 500, 800, 128

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

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

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 128 :

The positive integer divisors of 128 that completely divides 128 are.

1, 2, 4, 8, 16, 32, 64, 128

GCD of numbers is the greatest common divisor

So, the GCD (318, 500, 800, 128) = 2.

Given numbers are 318, 500, 800, 128

The list of prime factors of all numbers are

Prime factors of 318 are 2 x 3 x 53

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

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

Prime factors of 128 are 2 x 2 x 2 x 2 x 2 x 2 x 2

The highest common occurrence is 2¹

Therefore, GCD of 318, 500, 800, 128 is 2.

Given numbers are 318, 500, 800, 128

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

Apply this formula for all numbers.

Step1:

LCM(318, 500) = 79500

GCD(318, 500) = ( 318 x 500 ) / 79500

= 318 / 500

= 318

Step2:

LCM(2, 800) = 800

GCD(2, 800) = ( 2 x 800 ) / 800

= 2 / 800

= 2

Step3:

LCM(2, 128) = 128

GCD(2, 128) = ( 2 x 128 ) / 128

= 2 / 128

= 2

So, Greatest Common Divisor of 318, 500, 800, 128 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 418, 920, 402, 432
• GCD of 958, 369, 664, 161
• GCD of 272, 509, 158, 479
• GCD of 492, 149, 648, 112
• GCD of 208, 870, 982, 891

Given numbers are 318, 500, 800, 128
The greatest common divisor of numbers 318, 500, 800, 128 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 318, 500, 800, 128 is 2.

1. What is the GCD of 318, 500, 800, 128?

GCD of given numbers 318, 500, 800, 128 is 2

2. How to calculate the greatest common divisor of 318, 500, 800, 128?

We can find the highest common divisor of 318, 500, 800, 128 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 318, 500, 800, 128 i.e 2.

3. How can I use the GCD of 318, 500, 800, 128Calculator?

Out the numbers 318, 500, 800, 128 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.