GCD of 462, 418, 458, 388 Calculator

Given Input numbers are 462, 418, 458, 388

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 418 :

The positive integer divisors of 418 that completely divides 418 are.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 458 :

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

1, 2, 229, 458

Divisors of 388 :

The positive integer divisors of 388 that completely divides 388 are.

1, 2, 4, 97, 194, 388

GCD of numbers is the greatest common divisor

So, the GCD (462, 418, 458, 388) = 2.

Given numbers are 462, 418, 458, 388

The list of prime factors of all numbers are

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

Prime factors of 418 are 2 x 11 x 19

Prime factors of 458 are 2 x 229

Prime factors of 388 are 2 x 2 x 97

The highest common occurrence is 2¹

Therefore, GCD of 462, 418, 458, 388 is 2.

Given numbers are 462, 418, 458, 388

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

Apply this formula for all numbers.

Step1:

LCM(462, 418) = 8778

GCD(462, 418) = ( 462 x 418 ) / 8778

= 462 / 418

= 462

Step2:

LCM(22, 458) = 5038

GCD(22, 458) = ( 22 x 458 ) / 5038

= 22 / 458

= 22

Step3:

LCM(2, 388) = 388

GCD(2, 388) = ( 2 x 388 ) / 388

= 2 / 388

= 2

So, Greatest Common Divisor of 462, 418, 458, 388 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 251, 265, 860, 219
• GCD of 270, 144, 659, 929
• GCD of 535, 846, 749, 696
• GCD of 723, 213, 586, 413
• GCD of 161, 243, 184, 436

Given numbers are 462, 418, 458, 388
The greatest common divisor of numbers 462, 418, 458, 388 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 418, 458, 388 is 2.

1. What is the GCD of 462, 418, 458, 388?

GCD of given numbers 462, 418, 458, 388 is 2

2. How to calculate the greatest common divisor of 462, 418, 458, 388?

We can find the highest common divisor of 462, 418, 458, 388 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, 418, 458, 388 i.e 2.

3. How can I use the GCD of 462, 418, 458, 388Calculator?

Out the numbers 462, 418, 458, 388 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.