GCD of 264, 291, 378 Calculator

Given Input numbers are 264, 291, 378

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

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 291 :

The positive integer divisors of 291 that completely divides 291 are.

1, 3, 97, 291

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

GCD of numbers is the greatest common divisor

So, the GCD (264, 291, 378) = 3.

Given numbers are 264, 291, 378

The list of prime factors of all numbers are

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 291 are 3 x 97

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

The highest common occurrence is 3¹

Therefore, GCD of 264, 291, 378 is 3.

Given numbers are 264, 291, 378

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

Apply this formula for all numbers.

Step1:

LCM(264, 291) = 25608

GCD(264, 291) = ( 264 x 291 ) / 25608

= 264 / 291

= 264

Step2:

LCM(3, 378) = 378

GCD(3, 378) = ( 3 x 378 ) / 378

= 3 / 378

= 3

So, Greatest Common Divisor of 264, 291, 378 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 341, 317, 708
• GCD of 642, 299, 254
• GCD of 522, 762, 541
• GCD of 829, 308, 813
• GCD of 578, 449, 107

Given numbers are 264, 291, 378
The greatest common divisor of numbers 264, 291, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 264, 291, 378 is 3.

1. What is the GCD of 264, 291, 378?

GCD of given numbers 264, 291, 378 is 3

2. How to calculate the greatest common divisor of 264, 291, 378?

We can find the highest common divisor of 264, 291, 378 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 264, 291, 378 i.e 3.

3. How can I use the GCD of 264, 291, 378Calculator?

Out the numbers 264, 291, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.