GCD of 480, 894, 902, 408 Calculator

Given Input numbers are 480, 894, 902, 408

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 894 :

The positive integer divisors of 894 that completely divides 894 are.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 902 :

The positive integer divisors of 902 that completely divides 902 are.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

GCD of numbers is the greatest common divisor

So, the GCD (480, 894, 902, 408) = 2.

Given numbers are 480, 894, 902, 408

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 894 are 2 x 3 x 149

Prime factors of 902 are 2 x 11 x 41

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

The highest common occurrence is 2¹

Therefore, GCD of 480, 894, 902, 408 is 2.

Given numbers are 480, 894, 902, 408

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

Apply this formula for all numbers.

Step1:

LCM(480, 894) = 71520

GCD(480, 894) = ( 480 x 894 ) / 71520

= 480 / 894

= 480

Step2:

LCM(6, 902) = 2706

GCD(6, 902) = ( 6 x 902 ) / 2706

= 6 / 902

= 6

Step3:

LCM(2, 408) = 408

GCD(2, 408) = ( 2 x 408 ) / 408

= 2 / 408

= 2

So, Greatest Common Divisor of 480, 894, 902, 408 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 650, 766, 237, 326
• GCD of 425, 849, 128, 923
• GCD of 595, 321, 180, 955
• GCD of 343, 545, 378, 674
• GCD of 730, 325, 308, 213

Given numbers are 480, 894, 902, 408
The greatest common divisor of numbers 480, 894, 902, 408 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 894, 902, 408 is 2.

1. What is the GCD of 480, 894, 902, 408?

GCD of given numbers 480, 894, 902, 408 is 2

2. How to calculate the greatest common divisor of 480, 894, 902, 408?

We can find the highest common divisor of 480, 894, 902, 408 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, 894, 902, 408 i.e 2.

3. How can I use the GCD of 480, 894, 902, 408Calculator?

Out the numbers 480, 894, 902, 408 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.