GCD of 114, 264, 744 Calculator

Given Input numbers are 114, 264, 744

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

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

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 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

GCD of numbers is the greatest common divisor

So, the GCD (114, 264, 744) = 6.

Given numbers are 114, 264, 744

The list of prime factors of all numbers are

Prime factors of 114 are 2 x 3 x 19

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

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 114, 264, 744 is 6.

Given numbers are 114, 264, 744

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

Apply this formula for all numbers.

Step1:

LCM(114, 264) = 5016

GCD(114, 264) = ( 114 x 264 ) / 5016

= 114 / 264

= 114

Step2:

LCM(6, 744) = 744

GCD(6, 744) = ( 6 x 744 ) / 744

= 6 / 744

= 6

So, Greatest Common Divisor of 114, 264, 744 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 614, 191, 164
• GCD of 803, 583, 273
• GCD of 854, 957, 855
• GCD of 414, 831, 471
• GCD of 568, 514, 278

Given numbers are 114, 264, 744
The greatest common divisor of numbers 114, 264, 744 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 114, 264, 744 is 6.

1. What is the GCD of 114, 264, 744?

GCD of given numbers 114, 264, 744 is 6

2. How to calculate the greatest common divisor of 114, 264, 744?

We can find the highest common divisor of 114, 264, 744 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 114, 264, 744 i.e 6.

3. How can I use the GCD of 114, 264, 744Calculator?

Out the numbers 114, 264, 744 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.