GCD of 750, 108, 544, 438 Calculator

Given Input numbers are 750, 108, 544, 438

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

Divisors of 750 :

The positive integer divisors of 750 that completely divides 750 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 544 :

The positive integer divisors of 544 that completely divides 544 are.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Divisors of 438 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (750, 108, 544, 438) = 2.

Given numbers are 750, 108, 544, 438

The list of prime factors of all numbers are

Prime factors of 750 are 2 x 3 x 5 x 5 x 5

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 544 are 2 x 2 x 2 x 2 x 2 x 17

Prime factors of 438 are 2 x 3 x 73

The highest common occurrence is 2¹

Therefore, GCD of 750, 108, 544, 438 is 2.

Given numbers are 750, 108, 544, 438

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

Apply this formula for all numbers.

Step1:

LCM(750, 108) = 13500

GCD(750, 108) = ( 750 x 108 ) / 13500

= 750 / 108

= 750

Step2:

LCM(6, 544) = 1632

GCD(6, 544) = ( 6 x 544 ) / 1632

= 6 / 544

= 6

Step3:

LCM(2, 438) = 438

GCD(2, 438) = ( 2 x 438 ) / 438

= 2 / 438

= 2

So, Greatest Common Divisor of 750, 108, 544, 438 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 818, 246, 353, 539
• GCD of 616, 166, 985, 146
• GCD of 219, 239, 325, 581
• GCD of 763, 715, 986, 755
• GCD of 959, 123, 695, 194

Given numbers are 750, 108, 544, 438
The greatest common divisor of numbers 750, 108, 544, 438 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 750, 108, 544, 438 is 2.

1. What is the GCD of 750, 108, 544, 438?

GCD of given numbers 750, 108, 544, 438 is 2

2. How to calculate the greatest common divisor of 750, 108, 544, 438?

We can find the highest common divisor of 750, 108, 544, 438 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 750, 108, 544, 438 i.e 2.

3. How can I use the GCD of 750, 108, 544, 438Calculator?

Out the numbers 750, 108, 544, 438 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.