GCD of 378, 327, 240 Calculator

Given Input numbers are 378, 327, 240

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

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 327 :

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

1, 3, 109, 327

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

GCD of numbers is the greatest common divisor

So, the GCD (378, 327, 240) = 3.

Given numbers are 378, 327, 240

The list of prime factors of all numbers are

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

Prime factors of 327 are 3 x 109

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 378, 327, 240 is 3.

Given numbers are 378, 327, 240

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

Apply this formula for all numbers.

Step1:

LCM(378, 327) = 41202

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

= 378 / 327

= 378

Step2:

LCM(3, 240) = 240

GCD(3, 240) = ( 3 x 240 ) / 240

= 3 / 240

= 3

So, Greatest Common Divisor of 378, 327, 240 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 553, 546, 849
• GCD of 130, 121, 486
• GCD of 456, 190, 705
• GCD of 531, 748, 998
• GCD of 998, 506, 913

Given numbers are 378, 327, 240
The greatest common divisor of numbers 378, 327, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 327, 240 is 3.

1. What is the GCD of 378, 327, 240?

GCD of given numbers 378, 327, 240 is 3

2. How to calculate the greatest common divisor of 378, 327, 240?

We can find the highest common divisor of 378, 327, 240 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 378, 327, 240 i.e 3.

3. How can I use the GCD of 378, 327, 240Calculator?

Out the numbers 378, 327, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.