GCD of 18, 75, 42 Calculator

Given Input numbers are 18, 75, 42

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

Divisors of 18 :

The positive integer divisors of 18 that completely divides 18 are.

1, 2, 3, 6, 9, 18

Divisors of 75 :

The positive integer divisors of 75 that completely divides 75 are.

1, 3, 5, 15, 25, 75

Divisors of 42 :

The positive integer divisors of 42 that completely divides 42 are.

1, 2, 3, 6, 7, 14, 21, 42

GCD of numbers is the greatest common divisor

So, the GCD (18, 75, 42) = 3.

Given numbers are 18, 75, 42

The list of prime factors of all numbers are

Prime factors of 18 are 2 x 3 x 3

Prime factors of 75 are 3 x 5 x 5

Prime factors of 42 are 2 x 3 x 7

The highest common occurrence is 3¹

Therefore, GCD of 18, 75, 42 is 3.

Given numbers are 18, 75, 42

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

Apply this formula for all numbers.

Step1:

LCM(18, 75) = 450

GCD(18, 75) = ( 18 x 75 ) / 450

= 18 / 75

= 18

Step2:

LCM(3, 42) = 42

GCD(3, 42) = ( 3 x 42 ) / 42

= 3 / 42

= 3

So, Greatest Common Divisor of 18, 75, 42 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 53, 47, 33
• GCD of 54, 80, 69
• GCD of 22, 73, 47
• GCD of 88, 89, 42
• GCD of 64, 64, 39

Given numbers are 18, 75, 42
The greatest common divisor of numbers 18, 75, 42 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 18, 75, 42 is 3.

1. What is the GCD of 18, 75, 42?

GCD of given numbers 18, 75, 42 is 3

2. How to calculate the greatest common divisor of 18, 75, 42?

We can find the highest common divisor of 18, 75, 42 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 18, 75, 42 i.e 3.

3. How can I use the GCD of 18, 75, 42Calculator?

Out the numbers 18, 75, 42 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.