GCD of 144, 480, 822, 335 Calculator

Given Input numbers are 144, 480, 822, 335

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

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 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 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 335 :

The positive integer divisors of 335 that completely divides 335 are.

1, 5, 67, 335

GCD of numbers is the greatest common divisor

So, the GCD (144, 480, 822, 335) = 1.

Given numbers are 144, 480, 822, 335

The list of prime factors of all numbers are

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

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

Prime factors of 822 are 2 x 3 x 137

Prime factors of 335 are 5 x 67

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 144, 480, 822, 335

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

Apply this formula for all numbers.

Step1:

LCM(144, 480) = 1440

GCD(144, 480) = ( 144 x 480 ) / 1440

= 144 / 480

= 144

Step2:

LCM(48, 822) = 6576

GCD(48, 822) = ( 48 x 822 ) / 6576

= 48 / 822

= 48

Step3:

LCM(6, 335) = 2010

GCD(6, 335) = ( 6 x 335 ) / 2010

= 6 / 335

= 6

So, Greatest Common Divisor of 144, 480, 822, 335 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 387, 797, 679, 905
• GCD of 640, 885, 368, 219
• GCD of 976, 265, 436, 624
• GCD of 856, 476, 531, 652
• GCD of 318, 206, 782, 929

Given numbers are 144, 480, 822, 335
The greatest common divisor of numbers 144, 480, 822, 335 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 480, 822, 335 is 1.

1. What is the GCD of 144, 480, 822, 335?

GCD of given numbers 144, 480, 822, 335 is 1

2. How to calculate the greatest common divisor of 144, 480, 822, 335?

We can find the highest common divisor of 144, 480, 822, 335 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 144, 480, 822, 335 i.e 1.

3. How can I use the GCD of 144, 480, 822, 335Calculator?

Out the numbers 144, 480, 822, 335 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.