GCD of 444, 738, 828 Calculator

Given Input numbers are 444, 738, 828

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

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

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

GCD of numbers is the greatest common divisor

So, the GCD (444, 738, 828) = 6.

Given numbers are 444, 738, 828

The list of prime factors of all numbers are

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

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 444, 738, 828 is 6.

Given numbers are 444, 738, 828

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

Apply this formula for all numbers.

Step1:

LCM(444, 738) = 54612

GCD(444, 738) = ( 444 x 738 ) / 54612

= 444 / 738

= 444

Step2:

LCM(6, 828) = 828

GCD(6, 828) = ( 6 x 828 ) / 828

= 6 / 828

= 6

So, Greatest Common Divisor of 444, 738, 828 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 671, 110, 384
• GCD of 865, 301, 782
• GCD of 485, 203, 917
• GCD of 693, 896, 983
• GCD of 300, 458, 478

Given numbers are 444, 738, 828
The greatest common divisor of numbers 444, 738, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 444, 738, 828 is 6.

1. What is the GCD of 444, 738, 828?

GCD of given numbers 444, 738, 828 is 6

2. How to calculate the greatest common divisor of 444, 738, 828?

We can find the highest common divisor of 444, 738, 828 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 444, 738, 828 i.e 6.

3. How can I use the GCD of 444, 738, 828Calculator?

Out the numbers 444, 738, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.