GCD of 462, 728, 20, 466 Calculator

Given Input numbers are 462, 728, 20, 466

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

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 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 20 :

The positive integer divisors of 20 that completely divides 20 are.

1, 2, 4, 5, 10, 20

Divisors of 466 :

The positive integer divisors of 466 that completely divides 466 are.

1, 2, 233, 466

GCD of numbers is the greatest common divisor

So, the GCD (462, 728, 20, 466) = 2.

Given numbers are 462, 728, 20, 466

The list of prime factors of all numbers are

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

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 20 are 2 x 2 x 5

Prime factors of 466 are 2 x 233

The highest common occurrence is 2¹

Therefore, GCD of 462, 728, 20, 466 is 2.

Given numbers are 462, 728, 20, 466

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

Apply this formula for all numbers.

Step1:

LCM(462, 728) = 24024

GCD(462, 728) = ( 462 x 728 ) / 24024

= 462 / 728

= 462

Step2:

LCM(14, 20) = 140

GCD(14, 20) = ( 14 x 20 ) / 140

= 14 / 20

= 14

Step3:

LCM(2, 466) = 466

GCD(2, 466) = ( 2 x 466 ) / 466

= 2 / 466

= 2

So, Greatest Common Divisor of 462, 728, 20, 466 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 442, 844, 57, 781
• GCD of 936, 116, 81, 718
• GCD of 883, 123, 41, 807
• GCD of 522, 630, 98, 675
• GCD of 720, 962, 51, 622

Given numbers are 462, 728, 20, 466
The greatest common divisor of numbers 462, 728, 20, 466 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 728, 20, 466 is 2.

1. What is the GCD of 462, 728, 20, 466?

GCD of given numbers 462, 728, 20, 466 is 2

2. How to calculate the greatest common divisor of 462, 728, 20, 466?

We can find the highest common divisor of 462, 728, 20, 466 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 462, 728, 20, 466 i.e 2.

3. How can I use the GCD of 462, 728, 20, 466Calculator?

Out the numbers 462, 728, 20, 466 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.