GCD of 351, 144, 498, 804 Calculator

Given Input numbers are 351, 144, 498, 804

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

Divisors of 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

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 (351, 144, 498, 804) = 3.

Given numbers are 351, 144, 498, 804

The list of prime factors of all numbers are

Prime factors of 351 are 3 x 3 x 3 x 13

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 498 are 2 x 3 x 83

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

The highest common occurrence is 3¹

Therefore, GCD of 351, 144, 498, 804 is 3.

Given numbers are 351, 144, 498, 804

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

Apply this formula for all numbers.

Step1:

LCM(351, 144) = 5616

GCD(351, 144) = ( 351 x 144 ) / 5616

= 351 / 144

= 351

Step2:

LCM(9, 498) = 1494

GCD(9, 498) = ( 9 x 498 ) / 1494

= 9 / 498

= 9

Step3:

LCM(3, 804) = 804

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

= 3 / 804

= 3

So, Greatest Common Divisor of 351, 144, 498, 804 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 180, 263, 365, 383
• GCD of 916, 371, 635, 732
• GCD of 515, 487, 435, 235
• GCD of 821, 758, 721, 703
• GCD of 901, 316, 860, 645

Given numbers are 351, 144, 498, 804
The greatest common divisor of numbers 351, 144, 498, 804 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 351, 144, 498, 804 is 3.

1. What is the GCD of 351, 144, 498, 804?

GCD of given numbers 351, 144, 498, 804 is 3

2. How to calculate the greatest common divisor of 351, 144, 498, 804?

We can find the highest common divisor of 351, 144, 498, 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 351, 144, 498, 804 i.e 3.

3. How can I use the GCD of 351, 144, 498, 804Calculator?

Out the numbers 351, 144, 498, 804 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.