GCD of 584, 114, 832, 288 Calculator

Given Input numbers are 584, 114, 832, 288

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

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 832 :

The positive integer divisors of 832 that completely divides 832 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

GCD of numbers is the greatest common divisor

So, the GCD (584, 114, 832, 288) = 2.

Given numbers are 584, 114, 832, 288

The list of prime factors of all numbers are

Prime factors of 584 are 2 x 2 x 2 x 73

Prime factors of 114 are 2 x 3 x 19

Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 584, 114, 832, 288 is 2.

Given numbers are 584, 114, 832, 288

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

Apply this formula for all numbers.

Step1:

LCM(584, 114) = 33288

GCD(584, 114) = ( 584 x 114 ) / 33288

= 584 / 114

= 584

Step2:

LCM(2, 832) = 832

GCD(2, 832) = ( 2 x 832 ) / 832

= 2 / 832

= 2

Step3:

LCM(2, 288) = 288

GCD(2, 288) = ( 2 x 288 ) / 288

= 2 / 288

= 2

So, Greatest Common Divisor of 584, 114, 832, 288 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 220, 689, 276, 583
• GCD of 388, 144, 788, 827
• GCD of 991, 746, 187, 905
• GCD of 176, 358, 200, 858
• GCD of 217, 424, 523, 716

Given numbers are 584, 114, 832, 288
The greatest common divisor of numbers 584, 114, 832, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 584, 114, 832, 288 is 2.

1. What is the GCD of 584, 114, 832, 288?

GCD of given numbers 584, 114, 832, 288 is 2

2. How to calculate the greatest common divisor of 584, 114, 832, 288?

We can find the highest common divisor of 584, 114, 832, 288 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 584, 114, 832, 288 i.e 2.

3. How can I use the GCD of 584, 114, 832, 288Calculator?

Out the numbers 584, 114, 832, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.