GCD of 864, 220, 854, 518 Calculator

Given Input numbers are 864, 220, 854, 518

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 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 854 :

The positive integer divisors of 854 that completely divides 854 are.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 518 :

The positive integer divisors of 518 that completely divides 518 are.

1, 2, 7, 14, 37, 74, 259, 518

GCD of numbers is the greatest common divisor

So, the GCD (864, 220, 854, 518) = 2.

Given numbers are 864, 220, 854, 518

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 220 are 2 x 2 x 5 x 11

Prime factors of 854 are 2 x 7 x 61

Prime factors of 518 are 2 x 7 x 37

The highest common occurrence is 2¹

Therefore, GCD of 864, 220, 854, 518 is 2.

Given numbers are 864, 220, 854, 518

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

Apply this formula for all numbers.

Step1:

LCM(864, 220) = 47520

GCD(864, 220) = ( 864 x 220 ) / 47520

= 864 / 220

= 864

Step2:

LCM(4, 854) = 1708

GCD(4, 854) = ( 4 x 854 ) / 1708

= 4 / 854

= 4

Step3:

LCM(2, 518) = 518

GCD(2, 518) = ( 2 x 518 ) / 518

= 2 / 518

= 2

So, Greatest Common Divisor of 864, 220, 854, 518 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 568, 135, 122, 765
• GCD of 529, 686, 337, 777
• GCD of 547, 966, 597, 680
• GCD of 577, 492, 944, 186
• GCD of 171, 628, 353, 795

Given numbers are 864, 220, 854, 518
The greatest common divisor of numbers 864, 220, 854, 518 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 864, 220, 854, 518 is 2.

1. What is the GCD of 864, 220, 854, 518?

GCD of given numbers 864, 220, 854, 518 is 2

2. How to calculate the greatest common divisor of 864, 220, 854, 518?

We can find the highest common divisor of 864, 220, 854, 518 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, 220, 854, 518 i.e 2.

3. How can I use the GCD of 864, 220, 854, 518Calculator?

Out the numbers 864, 220, 854, 518 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.