GCD of 438, 252, 390, 110 Calculator

Given Input numbers are 438, 252, 390, 110

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 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 110 :

The positive integer divisors of 110 that completely divides 110 are.

1, 2, 5, 10, 11, 22, 55, 110

GCD of numbers is the greatest common divisor

So, the GCD (438, 252, 390, 110) = 2.

Given numbers are 438, 252, 390, 110

The list of prime factors of all numbers are

Prime factors of 438 are 2 x 3 x 73

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 110 are 2 x 5 x 11

The highest common occurrence is 2¹

Therefore, GCD of 438, 252, 390, 110 is 2.

Given numbers are 438, 252, 390, 110

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

Apply this formula for all numbers.

Step1:

LCM(438, 252) = 18396

GCD(438, 252) = ( 438 x 252 ) / 18396

= 438 / 252

= 438

Step2:

LCM(6, 390) = 390

GCD(6, 390) = ( 6 x 390 ) / 390

= 6 / 390

= 6

Step3:

LCM(6, 110) = 330

GCD(6, 110) = ( 6 x 110 ) / 330

= 6 / 110

= 6

So, Greatest Common Divisor of 438, 252, 390, 110 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 134, 585, 382, 906
• GCD of 562, 477, 437, 955
• GCD of 468, 680, 459, 444
• GCD of 929, 923, 812, 108
• GCD of 104, 774, 109, 824

Given numbers are 438, 252, 390, 110
The greatest common divisor of numbers 438, 252, 390, 110 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 252, 390, 110 is 2.

1. What is the GCD of 438, 252, 390, 110?

GCD of given numbers 438, 252, 390, 110 is 2

2. How to calculate the greatest common divisor of 438, 252, 390, 110?

We can find the highest common divisor of 438, 252, 390, 110 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, 252, 390, 110 i.e 2.

3. How can I use the GCD of 438, 252, 390, 110Calculator?

Out the numbers 438, 252, 390, 110 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.