GCD of 480, 184, 854, 704 Calculator

Given Input numbers are 480, 184, 854, 704

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 184 :

The positive integer divisors of 184 that completely divides 184 are.

1, 2, 4, 8, 23, 46, 92, 184

Divisors of 854 :

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

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

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

GCD of numbers is the greatest common divisor

So, the GCD (480, 184, 854, 704) = 2.

Given numbers are 480, 184, 854, 704

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 184 are 2 x 2 x 2 x 23

Prime factors of 854 are 2 x 7 x 61

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

The highest common occurrence is 2¹

Therefore, GCD of 480, 184, 854, 704 is 2.

Given numbers are 480, 184, 854, 704

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

Apply this formula for all numbers.

Step1:

LCM(480, 184) = 11040

GCD(480, 184) = ( 480 x 184 ) / 11040

= 480 / 184

= 480

Step2:

LCM(8, 854) = 3416

GCD(8, 854) = ( 8 x 854 ) / 3416

= 8 / 854

= 8

Step3:

LCM(2, 704) = 704

GCD(2, 704) = ( 2 x 704 ) / 704

= 2 / 704

= 2

So, Greatest Common Divisor of 480, 184, 854, 704 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 735, 213, 558, 106
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Given numbers are 480, 184, 854, 704
The greatest common divisor of numbers 480, 184, 854, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 184, 854, 704 is 2.

1. What is the GCD of 480, 184, 854, 704?

GCD of given numbers 480, 184, 854, 704 is 2

2. How to calculate the greatest common divisor of 480, 184, 854, 704?

We can find the highest common divisor of 480, 184, 854, 704 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, 184, 854, 704 i.e 2.

3. How can I use the GCD of 480, 184, 854, 704Calculator?

Out the numbers 480, 184, 854, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.