GCD of 444, 537, 828, 972 Calculator

Given Input numbers are 444, 537, 828, 972

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 537 :

The positive integer divisors of 537 that completely divides 537 are.

1, 3, 179, 537

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

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

GCD of numbers is the greatest common divisor

So, the GCD (444, 537, 828, 972) = 3.

Given numbers are 444, 537, 828, 972

The list of prime factors of all numbers are

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

Prime factors of 537 are 3 x 179

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

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

The highest common occurrence is 3¹

Therefore, GCD of 444, 537, 828, 972 is 3.

Given numbers are 444, 537, 828, 972

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

Apply this formula for all numbers.

Step1:

LCM(444, 537) = 79476

GCD(444, 537) = ( 444 x 537 ) / 79476

= 444 / 537

= 444

Step2:

LCM(3, 828) = 828

GCD(3, 828) = ( 3 x 828 ) / 828

= 3 / 828

= 3

Step3:

LCM(3, 972) = 972

GCD(3, 972) = ( 3 x 972 ) / 972

= 3 / 972

= 3

So, Greatest Common Divisor of 444, 537, 828, 972 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 985, 793, 702, 138
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Given numbers are 444, 537, 828, 972
The greatest common divisor of numbers 444, 537, 828, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 444, 537, 828, 972 is 3.

1. What is the GCD of 444, 537, 828, 972?

GCD of given numbers 444, 537, 828, 972 is 3

2. How to calculate the greatest common divisor of 444, 537, 828, 972?

We can find the highest common divisor of 444, 537, 828, 972 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, 537, 828, 972 i.e 3.

3. How can I use the GCD of 444, 537, 828, 972Calculator?

Out the numbers 444, 537, 828, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.