GCD of 480, 854, 710, 486 Calculator

Given Input numbers are 480, 854, 710, 486

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 854 :

The positive integer divisors of 854 that completely divides 854 are.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 710 :

The positive integer divisors of 710 that completely divides 710 are.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 486 :

The positive integer divisors of 486 that completely divides 486 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

GCD of numbers is the greatest common divisor

So, the GCD (480, 854, 710, 486) = 2.

Given numbers are 480, 854, 710, 486

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 854 are 2 x 7 x 61

Prime factors of 710 are 2 x 5 x 71

Prime factors of 486 are 2 x 3 x 3 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 480, 854, 710, 486 is 2.

Given numbers are 480, 854, 710, 486

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

Apply this formula for all numbers.

Step1:

LCM(480, 854) = 204960

GCD(480, 854) = ( 480 x 854 ) / 204960

= 480 / 854

= 480

Step2:

LCM(2, 710) = 710

GCD(2, 710) = ( 2 x 710 ) / 710

= 2 / 710

= 2

Step3:

LCM(2, 486) = 486

GCD(2, 486) = ( 2 x 486 ) / 486

= 2 / 486

= 2

So, Greatest Common Divisor of 480, 854, 710, 486 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 364, 589, 769, 499
• GCD of 249, 171, 901, 497
• GCD of 915, 507, 446, 361
• GCD of 221, 180, 990, 245
• GCD of 431, 879, 677, 809

Given numbers are 480, 854, 710, 486
The greatest common divisor of numbers 480, 854, 710, 486 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 854, 710, 486 is 2.

1. What is the GCD of 480, 854, 710, 486?

GCD of given numbers 480, 854, 710, 486 is 2

2. How to calculate the greatest common divisor of 480, 854, 710, 486?

We can find the highest common divisor of 480, 854, 710, 486 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, 854, 710, 486 i.e 2.

3. How can I use the GCD of 480, 854, 710, 486Calculator?

Out the numbers 480, 854, 710, 486 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.