GCD of 438, 490, 24, 216 Calculator

Given Input numbers are 438, 490, 24, 216

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

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 24 :

The positive integer divisors of 24 that completely divides 24 are.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (438, 490, 24, 216) = 2.

Given numbers are 438, 490, 24, 216

The list of prime factors of all numbers are

Prime factors of 438 are 2 x 3 x 73

Prime factors of 490 are 2 x 5 x 7 x 7

Prime factors of 24 are 2 x 2 x 2 x 3

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 438, 490, 24, 216 is 2.

Given numbers are 438, 490, 24, 216

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

Apply this formula for all numbers.

Step1:

LCM(438, 490) = 107310

GCD(438, 490) = ( 438 x 490 ) / 107310

= 438 / 490

= 438

Step2:

LCM(2, 24) = 24

GCD(2, 24) = ( 2 x 24 ) / 24

= 2 / 24

= 2

Step3:

LCM(2, 216) = 216

GCD(2, 216) = ( 2 x 216 ) / 216

= 2 / 216

= 2

So, Greatest Common Divisor of 438, 490, 24, 216 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 134, 238, 72, 289
• GCD of 801, 184, 23, 419
• GCD of 713, 688, 72, 306
• GCD of 985, 275, 67, 708
• GCD of 142, 154, 12, 620

Given numbers are 438, 490, 24, 216
The greatest common divisor of numbers 438, 490, 24, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 490, 24, 216 is 2.

1. What is the GCD of 438, 490, 24, 216?

GCD of given numbers 438, 490, 24, 216 is 2

2. How to calculate the greatest common divisor of 438, 490, 24, 216?

We can find the highest common divisor of 438, 490, 24, 216 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 438, 490, 24, 216 i.e 2.

3. How can I use the GCD of 438, 490, 24, 216Calculator?

Out the numbers 438, 490, 24, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.