GCD of 744, 224, 276, 318 Calculator

Given Input numbers are 744, 224, 276, 318

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

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 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 276 :

The positive integer divisors of 276 that completely divides 276 are.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

GCD of numbers is the greatest common divisor

So, the GCD (744, 224, 276, 318) = 2.

Given numbers are 744, 224, 276, 318

The list of prime factors of all numbers are

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

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 276 are 2 x 2 x 3 x 23

Prime factors of 318 are 2 x 3 x 53

The highest common occurrence is 2¹

Therefore, GCD of 744, 224, 276, 318 is 2.

Given numbers are 744, 224, 276, 318

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

Apply this formula for all numbers.

Step1:

LCM(744, 224) = 20832

GCD(744, 224) = ( 744 x 224 ) / 20832

= 744 / 224

= 744

Step2:

LCM(8, 276) = 552

GCD(8, 276) = ( 8 x 276 ) / 552

= 8 / 276

= 8

Step3:

LCM(4, 318) = 636

GCD(4, 318) = ( 4 x 318 ) / 636

= 4 / 318

= 4

So, Greatest Common Divisor of 744, 224, 276, 318 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 963, 763, 553, 423
• GCD of 589, 641, 736, 307
• GCD of 361, 812, 704, 929
• GCD of 900, 237, 695, 730
• GCD of 138, 186, 385, 477

Given numbers are 744, 224, 276, 318
The greatest common divisor of numbers 744, 224, 276, 318 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 744, 224, 276, 318 is 2.

1. What is the GCD of 744, 224, 276, 318?

GCD of given numbers 744, 224, 276, 318 is 2

2. How to calculate the greatest common divisor of 744, 224, 276, 318?

We can find the highest common divisor of 744, 224, 276, 318 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 744, 224, 276, 318 i.e 2.

3. How can I use the GCD of 744, 224, 276, 318Calculator?

Out the numbers 744, 224, 276, 318 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.