GCD of 264, 744, 112, 366 Calculator

Given Input numbers are 264, 744, 112, 366

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 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

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 366 :

The positive integer divisors of 366 that completely divides 366 are.

1, 2, 3, 6, 61, 122, 183, 366

GCD of numbers is the greatest common divisor

So, the GCD (264, 744, 112, 366) = 2.

Given numbers are 264, 744, 112, 366

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 744 are 2 x 2 x 2 x 3 x 31

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 366 are 2 x 3 x 61

The highest common occurrence is 2¹

Therefore, GCD of 264, 744, 112, 366 is 2.

Given numbers are 264, 744, 112, 366

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

Apply this formula for all numbers.

Step1:

LCM(264, 744) = 8184

GCD(264, 744) = ( 264 x 744 ) / 8184

= 264 / 744

= 264

Step2:

LCM(24, 112) = 336

GCD(24, 112) = ( 24 x 112 ) / 336

= 24 / 112

= 24

Step3:

LCM(8, 366) = 1464

GCD(8, 366) = ( 8 x 366 ) / 1464

= 8 / 366

= 8

So, Greatest Common Divisor of 264, 744, 112, 366 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 319, 186, 768, 581
• GCD of 942, 634, 972, 423
• GCD of 302, 749, 398, 741
• GCD of 583, 462, 323, 224
• GCD of 818, 377, 619, 591

Given numbers are 264, 744, 112, 366
The greatest common divisor of numbers 264, 744, 112, 366 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 264, 744, 112, 366 is 2.

1. What is the GCD of 264, 744, 112, 366?

GCD of given numbers 264, 744, 112, 366 is 2

2. How to calculate the greatest common divisor of 264, 744, 112, 366?

We can find the highest common divisor of 264, 744, 112, 366 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, 744, 112, 366 i.e 2.

3. How can I use the GCD of 264, 744, 112, 366Calculator?

Out the numbers 264, 744, 112, 366 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.