GCD of 480, 440, 282, 484 Calculator

Given Input numbers are 480, 440, 282, 484

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 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 282 :

The positive integer divisors of 282 that completely divides 282 are.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 484 :

The positive integer divisors of 484 that completely divides 484 are.

1, 2, 4, 11, 22, 44, 121, 242, 484

GCD of numbers is the greatest common divisor

So, the GCD (480, 440, 282, 484) = 2.

Given numbers are 480, 440, 282, 484

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 440 are 2 x 2 x 2 x 5 x 11

Prime factors of 282 are 2 x 3 x 47

Prime factors of 484 are 2 x 2 x 11 x 11

The highest common occurrence is 2¹

Therefore, GCD of 480, 440, 282, 484 is 2.

Given numbers are 480, 440, 282, 484

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

Apply this formula for all numbers.

Step1:

LCM(480, 440) = 5280

GCD(480, 440) = ( 480 x 440 ) / 5280

= 480 / 440

= 480

Step2:

LCM(40, 282) = 5640

GCD(40, 282) = ( 40 x 282 ) / 5640

= 40 / 282

= 40

Step3:

LCM(2, 484) = 484

GCD(2, 484) = ( 2 x 484 ) / 484

= 2 / 484

= 2

So, Greatest Common Divisor of 480, 440, 282, 484 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 586, 329, 409, 165
• GCD of 533, 288, 899, 466
• GCD of 406, 960, 290, 226
• GCD of 628, 962, 181, 454
• GCD of 361, 493, 959, 698

Given numbers are 480, 440, 282, 484
The greatest common divisor of numbers 480, 440, 282, 484 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 440, 282, 484 is 2.

1. What is the GCD of 480, 440, 282, 484?

GCD of given numbers 480, 440, 282, 484 is 2

2. How to calculate the greatest common divisor of 480, 440, 282, 484?

We can find the highest common divisor of 480, 440, 282, 484 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, 440, 282, 484 i.e 2.

3. How can I use the GCD of 480, 440, 282, 484Calculator?

Out the numbers 480, 440, 282, 484 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.