GCD of 480, 147, 444, 804 Calculator

Given Input numbers are 480, 147, 444, 804

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

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

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 804 :

The positive integer divisors of 804 that completely divides 804 are.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

GCD of numbers is the greatest common divisor

So, the GCD (480, 147, 444, 804) = 3.

Given numbers are 480, 147, 444, 804

The list of prime factors of all numbers are

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 147 are 3 x 7 x 7

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

Prime factors of 804 are 2 x 2 x 3 x 67

The highest common occurrence is 3¹

Therefore, GCD of 480, 147, 444, 804 is 3.

Given numbers are 480, 147, 444, 804

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

Apply this formula for all numbers.

Step1:

LCM(480, 147) = 23520

GCD(480, 147) = ( 480 x 147 ) / 23520

= 480 / 147

= 480

Step2:

LCM(3, 444) = 444

GCD(3, 444) = ( 3 x 444 ) / 444

= 3 / 444

= 3

Step3:

LCM(3, 804) = 804

GCD(3, 804) = ( 3 x 804 ) / 804

= 3 / 804

= 3

So, Greatest Common Divisor of 480, 147, 444, 804 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 574, 570, 758, 191
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• GCD of 753, 733, 611, 403
• GCD of 305, 709, 367, 500
• GCD of 991, 406, 589, 288

Given numbers are 480, 147, 444, 804
The greatest common divisor of numbers 480, 147, 444, 804 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 147, 444, 804 is 3.

1. What is the GCD of 480, 147, 444, 804?

GCD of given numbers 480, 147, 444, 804 is 3

2. How to calculate the greatest common divisor of 480, 147, 444, 804?

We can find the highest common divisor of 480, 147, 444, 804 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 480, 147, 444, 804 i.e 3.

3. How can I use the GCD of 480, 147, 444, 804Calculator?

Out the numbers 480, 147, 444, 804 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.