GCD of 584, 462, 578, 458 Calculator

Given Input numbers are 584, 462, 578, 458

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 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 578 :

The positive integer divisors of 578 that completely divides 578 are.

1, 2, 17, 34, 289, 578

Divisors of 458 :

The positive integer divisors of 458 that completely divides 458 are.

1, 2, 229, 458

GCD of numbers is the greatest common divisor

So, the GCD (584, 462, 578, 458) = 2.

Given numbers are 584, 462, 578, 458

The list of prime factors of all numbers are

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

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 578 are 2 x 17 x 17

Prime factors of 458 are 2 x 229

The highest common occurrence is 2¹

Therefore, GCD of 584, 462, 578, 458 is 2.

Given numbers are 584, 462, 578, 458

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

Apply this formula for all numbers.

Step1:

LCM(584, 462) = 134904

GCD(584, 462) = ( 584 x 462 ) / 134904

= 584 / 462

= 584

Step2:

LCM(2, 578) = 578

GCD(2, 578) = ( 2 x 578 ) / 578

= 2 / 578

= 2

Step3:

LCM(2, 458) = 458

GCD(2, 458) = ( 2 x 458 ) / 458

= 2 / 458

= 2

So, Greatest Common Divisor of 584, 462, 578, 458 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 649, 621, 751, 620
• GCD of 531, 505, 428, 230
• GCD of 166, 123, 232, 726
• GCD of 321, 304, 372, 513
• GCD of 293, 131, 603, 197

Given numbers are 584, 462, 578, 458
The greatest common divisor of numbers 584, 462, 578, 458 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 584, 462, 578, 458 is 2.

1. What is the GCD of 584, 462, 578, 458?

GCD of given numbers 584, 462, 578, 458 is 2

2. How to calculate the greatest common divisor of 584, 462, 578, 458?

We can find the highest common divisor of 584, 462, 578, 458 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, 462, 578, 458 i.e 2.

3. How can I use the GCD of 584, 462, 578, 458Calculator?

Out the numbers 584, 462, 578, 458 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.