GCD of 464, 424, 496, 586 Calculator

Given Input numbers are 464, 424, 496, 586

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

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 586 :

The positive integer divisors of 586 that completely divides 586 are.

1, 2, 293, 586

GCD of numbers is the greatest common divisor

So, the GCD (464, 424, 496, 586) = 2.

Given numbers are 464, 424, 496, 586

The list of prime factors of all numbers are

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 424 are 2 x 2 x 2 x 53

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 586 are 2 x 293

The highest common occurrence is 2¹

Therefore, GCD of 464, 424, 496, 586 is 2.

Given numbers are 464, 424, 496, 586

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

Apply this formula for all numbers.

Step1:

LCM(464, 424) = 24592

GCD(464, 424) = ( 464 x 424 ) / 24592

= 464 / 424

= 464

Step2:

LCM(8, 496) = 496

GCD(8, 496) = ( 8 x 496 ) / 496

= 8 / 496

= 8

Step3:

LCM(8, 586) = 2344

GCD(8, 586) = ( 8 x 586 ) / 2344

= 8 / 586

= 8

So, Greatest Common Divisor of 464, 424, 496, 586 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 345, 681, 406, 989
• GCD of 806, 567, 903, 368
• GCD of 371, 199, 506, 391
• GCD of 875, 900, 286, 109
• GCD of 916, 557, 713, 866

Given numbers are 464, 424, 496, 586
The greatest common divisor of numbers 464, 424, 496, 586 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 464, 424, 496, 586 is 2.

1. What is the GCD of 464, 424, 496, 586?

GCD of given numbers 464, 424, 496, 586 is 2

2. How to calculate the greatest common divisor of 464, 424, 496, 586?

We can find the highest common divisor of 464, 424, 496, 586 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 464, 424, 496, 586 i.e 2.

3. How can I use the GCD of 464, 424, 496, 586Calculator?

Out the numbers 464, 424, 496, 586 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.