GCD of 564, 180, 744, 666 Calculator

Given Input numbers are 564, 180, 744, 666

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

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

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 666 :

The positive integer divisors of 666 that completely divides 666 are.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

GCD of numbers is the greatest common divisor

So, the GCD (564, 180, 744, 666) = 6.

Given numbers are 564, 180, 744, 666

The list of prime factors of all numbers are

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

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

Prime factors of 666 are 2 x 3 x 3 x 37

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 564, 180, 744, 666 is 6.

Given numbers are 564, 180, 744, 666

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

Apply this formula for all numbers.

Step1:

LCM(564, 180) = 8460

GCD(564, 180) = ( 564 x 180 ) / 8460

= 564 / 180

= 564

Step2:

LCM(12, 744) = 744

GCD(12, 744) = ( 12 x 744 ) / 744

= 12 / 744

= 12

Step3:

LCM(12, 666) = 1332

GCD(12, 666) = ( 12 x 666 ) / 1332

= 12 / 666

= 12

So, Greatest Common Divisor of 564, 180, 744, 666 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 798, 963, 520, 484
• GCD of 512, 766, 670, 771
• GCD of 301, 535, 915, 898
• GCD of 357, 363, 267, 864
• GCD of 849, 451, 659, 760

Given numbers are 564, 180, 744, 666
The greatest common divisor of numbers 564, 180, 744, 666 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 180, 744, 666 is 6.

1. What is the GCD of 564, 180, 744, 666?

GCD of given numbers 564, 180, 744, 666 is 6

2. How to calculate the greatest common divisor of 564, 180, 744, 666?

We can find the highest common divisor of 564, 180, 744, 666 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 564, 180, 744, 666 i.e 6.

3. How can I use the GCD of 564, 180, 744, 666Calculator?

Out the numbers 564, 180, 744, 666 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.