GCD of 327, 378, 957, 864 Calculator

Given Input numbers are 327, 378, 957, 864

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

Divisors of 327 :

The positive integer divisors of 327 that completely divides 327 are.

1, 3, 109, 327

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 957 :

The positive integer divisors of 957 that completely divides 957 are.

1, 3, 11, 29, 33, 87, 319, 957

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

GCD of numbers is the greatest common divisor

So, the GCD (327, 378, 957, 864) = 3.

Given numbers are 327, 378, 957, 864

The list of prime factors of all numbers are

Prime factors of 327 are 3 x 109

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 957 are 3 x 11 x 29

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

The highest common occurrence is 3¹

Therefore, GCD of 327, 378, 957, 864 is 3.

Given numbers are 327, 378, 957, 864

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

Apply this formula for all numbers.

Step1:

LCM(327, 378) = 41202

GCD(327, 378) = ( 327 x 378 ) / 41202

= 327 / 378

= 327

Step2:

LCM(3, 957) = 957

GCD(3, 957) = ( 3 x 957 ) / 957

= 3 / 957

= 3

Step3:

LCM(3, 864) = 864

GCD(3, 864) = ( 3 x 864 ) / 864

= 3 / 864

= 3

So, Greatest Common Divisor of 327, 378, 957, 864 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 200, 341, 954, 351
• GCD of 717, 839, 541, 713
• GCD of 894, 274, 528, 805
• GCD of 709, 876, 526, 829
• GCD of 479, 449, 966, 672

Given numbers are 327, 378, 957, 864
The greatest common divisor of numbers 327, 378, 957, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 327, 378, 957, 864 is 3.

1. What is the GCD of 327, 378, 957, 864?

GCD of given numbers 327, 378, 957, 864 is 3

2. How to calculate the greatest common divisor of 327, 378, 957, 864?

We can find the highest common divisor of 327, 378, 957, 864 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 327, 378, 957, 864 i.e 3.

3. How can I use the GCD of 327, 378, 957, 864Calculator?

Out the numbers 327, 378, 957, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.