GCD of 375, 363, 27, 960 Calculator

Given Input numbers are 375, 363, 27, 960

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

Divisors of 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 363 :

The positive integer divisors of 363 that completely divides 363 are.

1, 3, 11, 33, 121, 363

Divisors of 27 :

The positive integer divisors of 27 that completely divides 27 are.

1, 3, 9, 27

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

GCD of numbers is the greatest common divisor

So, the GCD (375, 363, 27, 960) = 3.

Given numbers are 375, 363, 27, 960

The list of prime factors of all numbers are

Prime factors of 375 are 3 x 5 x 5 x 5

Prime factors of 363 are 3 x 11 x 11

Prime factors of 27 are 3 x 3 x 3

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 375, 363, 27, 960 is 3.

Given numbers are 375, 363, 27, 960

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

Apply this formula for all numbers.

Step1:

LCM(375, 363) = 45375

GCD(375, 363) = ( 375 x 363 ) / 45375

= 375 / 363

= 375

Step2:

LCM(3, 27) = 27

GCD(3, 27) = ( 3 x 27 ) / 27

= 3 / 27

= 3

Step3:

LCM(3, 960) = 960

GCD(3, 960) = ( 3 x 960 ) / 960

= 3 / 960

= 3

So, Greatest Common Divisor of 375, 363, 27, 960 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 623, 361, 26, 522
• GCD of 573, 893, 33, 471
• GCD of 704, 731, 68, 727
• GCD of 850, 276, 88, 515
• GCD of 872, 690, 17, 501

Given numbers are 375, 363, 27, 960
The greatest common divisor of numbers 375, 363, 27, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 375, 363, 27, 960 is 3.

1. What is the GCD of 375, 363, 27, 960?

GCD of given numbers 375, 363, 27, 960 is 3

2. How to calculate the greatest common divisor of 375, 363, 27, 960?

We can find the highest common divisor of 375, 363, 27, 960 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 375, 363, 27, 960 i.e 3.

3. How can I use the GCD of 375, 363, 27, 960Calculator?

Out the numbers 375, 363, 27, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.