GCD of 226, 432, 474, 462 Calculator

Given Input numbers are 226, 432, 474, 462

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

Divisors of 226 :

The positive integer divisors of 226 that completely divides 226 are.

1, 2, 113, 226

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

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 (226, 432, 474, 462) = 2.

Given numbers are 226, 432, 474, 462

The list of prime factors of all numbers are

Prime factors of 226 are 2 x 113

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 474 are 2 x 3 x 79

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

The highest common occurrence is 2¹

Therefore, GCD of 226, 432, 474, 462 is 2.

Given numbers are 226, 432, 474, 462

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

Apply this formula for all numbers.

Step1:

LCM(226, 432) = 48816

GCD(226, 432) = ( 226 x 432 ) / 48816

= 226 / 432

= 226

Step2:

LCM(2, 474) = 474

GCD(2, 474) = ( 2 x 474 ) / 474

= 2 / 474

= 2

Step3:

LCM(2, 462) = 462

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

= 2 / 462

= 2

So, Greatest Common Divisor of 226, 432, 474, 462 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 485, 475, 568, 285
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• GCD of 396, 412, 179, 928
• GCD of 624, 154, 623, 511
• GCD of 544, 181, 687, 880

Given numbers are 226, 432, 474, 462
The greatest common divisor of numbers 226, 432, 474, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 226, 432, 474, 462 is 2.

1. What is the GCD of 226, 432, 474, 462?

GCD of given numbers 226, 432, 474, 462 is 2

2. How to calculate the greatest common divisor of 226, 432, 474, 462?

We can find the highest common divisor of 226, 432, 474, 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 226, 432, 474, 462 i.e 2.

3. How can I use the GCD of 226, 432, 474, 462Calculator?

Out the numbers 226, 432, 474, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.