GCD of 264, 340, 506, 444 Calculator

Given Input numbers are 264, 340, 506, 444

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 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 444 :

The positive integer divisors of 444 that completely divides 444 are.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

GCD of numbers is the greatest common divisor

So, the GCD (264, 340, 506, 444) = 2.

Given numbers are 264, 340, 506, 444

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 340 are 2 x 2 x 5 x 17

Prime factors of 506 are 2 x 11 x 23

Prime factors of 444 are 2 x 2 x 3 x 37

The highest common occurrence is 2¹

Therefore, GCD of 264, 340, 506, 444 is 2.

Given numbers are 264, 340, 506, 444

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

Apply this formula for all numbers.

Step1:

LCM(264, 340) = 22440

GCD(264, 340) = ( 264 x 340 ) / 22440

= 264 / 340

= 264

Step2:

LCM(4, 506) = 1012

GCD(4, 506) = ( 4 x 506 ) / 1012

= 4 / 506

= 4

Step3:

LCM(2, 444) = 444

GCD(2, 444) = ( 2 x 444 ) / 444

= 2 / 444

= 2

So, Greatest Common Divisor of 264, 340, 506, 444 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 368, 541, 455, 966
• GCD of 162, 421, 277, 631
• GCD of 604, 866, 326, 741
• GCD of 207, 422, 544, 384
• GCD of 212, 481, 630, 298

Given numbers are 264, 340, 506, 444
The greatest common divisor of numbers 264, 340, 506, 444 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 264, 340, 506, 444 is 2.

1. What is the GCD of 264, 340, 506, 444?

GCD of given numbers 264, 340, 506, 444 is 2

2. How to calculate the greatest common divisor of 264, 340, 506, 444?

We can find the highest common divisor of 264, 340, 506, 444 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, 340, 506, 444 i.e 2.

3. How can I use the GCD of 264, 340, 506, 444Calculator?

Out the numbers 264, 340, 506, 444 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.