GCD of 864, 672, 648, 660 Calculator

Given Input numbers are 864, 672, 648, 660

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 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

GCD of numbers is the greatest common divisor

So, the GCD (864, 672, 648, 660) = 12.

Given numbers are 864, 672, 648, 660

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 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

The highest common occurrence is 2² x 3¹

Therefore, GCD of 864, 672, 648, 660 is 12.

Given numbers are 864, 672, 648, 660

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

Apply this formula for all numbers.

Step1:

LCM(864, 672) = 6048

GCD(864, 672) = ( 864 x 672 ) / 6048

= 864 / 672

= 864

Step2:

LCM(96, 648) = 2592

GCD(96, 648) = ( 96 x 648 ) / 2592

= 96 / 648

= 96

Step3:

LCM(24, 660) = 1320

GCD(24, 660) = ( 24 x 660 ) / 1320

= 24 / 660

= 24

So, Greatest Common Divisor of 864, 672, 648, 660 is 12

Here are some samples of GCD of Numbers calculations.

• GCD of 677, 954, 610, 577
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Given numbers are 864, 672, 648, 660
The greatest common divisor of numbers 864, 672, 648, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 864, 672, 648, 660 is 12.

1. What is the GCD of 864, 672, 648, 660?

GCD of given numbers 864, 672, 648, 660 is 12

2. How to calculate the greatest common divisor of 864, 672, 648, 660?

We can find the highest common divisor of 864, 672, 648, 660 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, 672, 648, 660 i.e 12.

3. How can I use the GCD of 864, 672, 648, 660Calculator?

Out the numbers 864, 672, 648, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.