GCD of 582, 470, 858, 462 Calculator

Given Input numbers are 582, 470, 858, 462

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

Divisors of 582 :

The positive integer divisors of 582 that completely divides 582 are.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 858 :

The positive integer divisors of 858 that completely divides 858 are.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

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

GCD of numbers is the greatest common divisor

So, the GCD (582, 470, 858, 462) = 2.

Given numbers are 582, 470, 858, 462

The list of prime factors of all numbers are

Prime factors of 582 are 2 x 3 x 97

Prime factors of 470 are 2 x 5 x 47

Prime factors of 858 are 2 x 3 x 11 x 13

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

The highest common occurrence is 2¹

Therefore, GCD of 582, 470, 858, 462 is 2.

Given numbers are 582, 470, 858, 462

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

Apply this formula for all numbers.

Step1:

LCM(582, 470) = 136770

GCD(582, 470) = ( 582 x 470 ) / 136770

= 582 / 470

= 582

Step2:

LCM(2, 858) = 858

GCD(2, 858) = ( 2 x 858 ) / 858

= 2 / 858

= 2

Step3:

LCM(2, 462) = 462

GCD(2, 462) = ( 2 x 462 ) / 462

= 2 / 462

= 2

So, Greatest Common Divisor of 582, 470, 858, 462 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 343, 230, 195, 339
• GCD of 708, 270, 552, 833
• GCD of 498, 890, 169, 145
• GCD of 356, 842, 217, 573
• GCD of 582, 657, 867, 900

Given numbers are 582, 470, 858, 462
The greatest common divisor of numbers 582, 470, 858, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 582, 470, 858, 462 is 2.

1. What is the GCD of 582, 470, 858, 462?

GCD of given numbers 582, 470, 858, 462 is 2

2. How to calculate the greatest common divisor of 582, 470, 858, 462?

We can find the highest common divisor of 582, 470, 858, 462 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 582, 470, 858, 462 i.e 2.

3. How can I use the GCD of 582, 470, 858, 462Calculator?

Out the numbers 582, 470, 858, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.