GCD of 864, 294, 717, 654 Calculator

Given Input numbers are 864, 294, 717, 654

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 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 717 :

The positive integer divisors of 717 that completely divides 717 are.

1, 3, 239, 717

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 (864, 294, 717, 654) = 3.

Given numbers are 864, 294, 717, 654

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 294 are 2 x 3 x 7 x 7

Prime factors of 717 are 3 x 239

Prime factors of 654 are 2 x 3 x 109

The highest common occurrence is 3¹

Therefore, GCD of 864, 294, 717, 654 is 3.

Given numbers are 864, 294, 717, 654

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

Apply this formula for all numbers.

Step1:

LCM(864, 294) = 42336

GCD(864, 294) = ( 864 x 294 ) / 42336

= 864 / 294

= 864

Step2:

LCM(6, 717) = 1434

GCD(6, 717) = ( 6 x 717 ) / 1434

= 6 / 717

= 6

Step3:

LCM(3, 654) = 654

GCD(3, 654) = ( 3 x 654 ) / 654

= 3 / 654

= 3

So, Greatest Common Divisor of 864, 294, 717, 654 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 414, 646, 693, 271
• GCD of 672, 648, 498, 932
• GCD of 310, 276, 684, 399
• GCD of 140, 175, 181, 203
• GCD of 380, 936, 829, 668

Given numbers are 864, 294, 717, 654
The greatest common divisor of numbers 864, 294, 717, 654 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 864, 294, 717, 654 is 3.

1. What is the GCD of 864, 294, 717, 654?

GCD of given numbers 864, 294, 717, 654 is 3

2. How to calculate the greatest common divisor of 864, 294, 717, 654?

We can find the highest common divisor of 864, 294, 717, 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 864, 294, 717, 654 i.e 3.

3. How can I use the GCD of 864, 294, 717, 654Calculator?

Out the numbers 864, 294, 717, 654 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.