GCD of 438, 270, 24, 300 Calculator

Given Input numbers are 438, 270, 24, 300

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 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 24 :

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

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

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

GCD of numbers is the greatest common divisor

So, the GCD (438, 270, 24, 300) = 6.

Given numbers are 438, 270, 24, 300

The list of prime factors of all numbers are

Prime factors of 438 are 2 x 3 x 73

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

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

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 438, 270, 24, 300 is 6.

Given numbers are 438, 270, 24, 300

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

Apply this formula for all numbers.

Step1:

LCM(438, 270) = 19710

GCD(438, 270) = ( 438 x 270 ) / 19710

= 438 / 270

= 438

Step2:

LCM(6, 24) = 24

GCD(6, 24) = ( 6 x 24 ) / 24

= 6 / 24

= 6

Step3:

LCM(6, 300) = 300

GCD(6, 300) = ( 6 x 300 ) / 300

= 6 / 300

= 6

So, Greatest Common Divisor of 438, 270, 24, 300 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 760, 817, 42, 163
• GCD of 783, 962, 92, 247
• GCD of 105, 501, 45, 235
• GCD of 560, 389, 43, 447
• GCD of 735, 607, 65, 509

Given numbers are 438, 270, 24, 300
The greatest common divisor of numbers 438, 270, 24, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 270, 24, 300 is 6.

1. What is the GCD of 438, 270, 24, 300?

GCD of given numbers 438, 270, 24, 300 is 6

2. How to calculate the greatest common divisor of 438, 270, 24, 300?

We can find the highest common divisor of 438, 270, 24, 300 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, 270, 24, 300 i.e 6.

3. How can I use the GCD of 438, 270, 24, 300Calculator?

Out the numbers 438, 270, 24, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.