GCD of 864, 486, 208, 400 Calculator

Given Input numbers are 864, 486, 208, 400

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

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 486 :

The positive integer divisors of 486 that completely divides 486 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (864, 486, 208, 400) = 2.

Given numbers are 864, 486, 208, 400

The list of prime factors of all numbers are

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 486 are 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 864, 486, 208, 400 is 2.

Given numbers are 864, 486, 208, 400

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

Apply this formula for all numbers.

Step1:

LCM(864, 486) = 7776

GCD(864, 486) = ( 864 x 486 ) / 7776

= 864 / 486

= 864

Step2:

LCM(54, 208) = 5616

GCD(54, 208) = ( 54 x 208 ) / 5616

= 54 / 208

= 54

Step3:

LCM(2, 400) = 400

GCD(2, 400) = ( 2 x 400 ) / 400

= 2 / 400

= 2

So, Greatest Common Divisor of 864, 486, 208, 400 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 840, 318, 256, 436
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• GCD of 732, 170, 109, 711
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• GCD of 182, 794, 807, 772

Given numbers are 864, 486, 208, 400
The greatest common divisor of numbers 864, 486, 208, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 864, 486, 208, 400 is 2.

1. What is the GCD of 864, 486, 208, 400?

GCD of given numbers 864, 486, 208, 400 is 2

2. How to calculate the greatest common divisor of 864, 486, 208, 400?

We can find the highest common divisor of 864, 486, 208, 400 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 864, 486, 208, 400 i.e 2.

3. How can I use the GCD of 864, 486, 208, 400Calculator?

Out the numbers 864, 486, 208, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.