GCD of 424, 460, 288, 418 Calculator

Given Input numbers are 424, 460, 288, 418

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

Divisors of 424 :

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

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

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 418 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (424, 460, 288, 418) = 2.

Given numbers are 424, 460, 288, 418

The list of prime factors of all numbers are

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

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 418 are 2 x 11 x 19

The highest common occurrence is 2¹

Therefore, GCD of 424, 460, 288, 418 is 2.

Given numbers are 424, 460, 288, 418

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

Apply this formula for all numbers.

Step1:

LCM(424, 460) = 48760

GCD(424, 460) = ( 424 x 460 ) / 48760

= 424 / 460

= 424

Step2:

LCM(4, 288) = 288

GCD(4, 288) = ( 4 x 288 ) / 288

= 4 / 288

= 4

Step3:

LCM(4, 418) = 836

GCD(4, 418) = ( 4 x 418 ) / 836

= 4 / 418

= 4

So, Greatest Common Divisor of 424, 460, 288, 418 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 116, 253, 362, 101
• GCD of 175, 870, 295, 510
• GCD of 124, 733, 865, 875
• GCD of 361, 913, 345, 735
• GCD of 416, 832, 315, 643

Given numbers are 424, 460, 288, 418
The greatest common divisor of numbers 424, 460, 288, 418 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 424, 460, 288, 418 is 2.

1. What is the GCD of 424, 460, 288, 418?

GCD of given numbers 424, 460, 288, 418 is 2

2. How to calculate the greatest common divisor of 424, 460, 288, 418?

We can find the highest common divisor of 424, 460, 288, 418 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 424, 460, 288, 418 i.e 2.

3. How can I use the GCD of 424, 460, 288, 418Calculator?

Out the numbers 424, 460, 288, 418 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.