GCD of 664, 384, 744, 456 Calculator

Given Input numbers are 664, 384, 744, 456

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

Divisors of 664 :

The positive integer divisors of 664 that completely divides 664 are.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

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 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

GCD of numbers is the greatest common divisor

So, the GCD (664, 384, 744, 456) = 8.

Given numbers are 664, 384, 744, 456

The list of prime factors of all numbers are

Prime factors of 664 are 2 x 2 x 2 x 83

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

The highest common occurrence is 2³

Therefore, GCD of 664, 384, 744, 456 is 8.

Given numbers are 664, 384, 744, 456

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

Apply this formula for all numbers.

Step1:

LCM(664, 384) = 31872

GCD(664, 384) = ( 664 x 384 ) / 31872

= 664 / 384

= 664

Step2:

LCM(8, 744) = 744

GCD(8, 744) = ( 8 x 744 ) / 744

= 8 / 744

= 8

Step3:

LCM(8, 456) = 456

GCD(8, 456) = ( 8 x 456 ) / 456

= 8 / 456

= 8

So, Greatest Common Divisor of 664, 384, 744, 456 is 8

Here are some samples of GCD of Numbers calculations.

• GCD of 349, 852, 722, 796
• GCD of 467, 943, 216, 257
• GCD of 892, 161, 726, 279
• GCD of 373, 622, 223, 739
• GCD of 797, 260, 839, 944

Given numbers are 664, 384, 744, 456
The greatest common divisor of numbers 664, 384, 744, 456 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 664, 384, 744, 456 is 8.

1. What is the GCD of 664, 384, 744, 456?

GCD of given numbers 664, 384, 744, 456 is 8

2. How to calculate the greatest common divisor of 664, 384, 744, 456?

We can find the highest common divisor of 664, 384, 744, 456 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 664, 384, 744, 456 i.e 8.

3. How can I use the GCD of 664, 384, 744, 456Calculator?

Out the numbers 664, 384, 744, 456 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.