GCD of 42, 27, 30, 51 Calculator

Given Input numbers are 42, 27, 30, 51

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

Divisors of 42 :

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

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

Divisors of 27 :

The positive integer divisors of 27 that completely divides 27 are.

1, 3, 9, 27

Divisors of 30 :

The positive integer divisors of 30 that completely divides 30 are.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 51 :

The positive integer divisors of 51 that completely divides 51 are.

1, 3, 17, 51

GCD of numbers is the greatest common divisor

So, the GCD (42, 27, 30, 51) = 3.

Given numbers are 42, 27, 30, 51

The list of prime factors of all numbers are

Prime factors of 42 are 2 x 3 x 7

Prime factors of 27 are 3 x 3 x 3

Prime factors of 30 are 2 x 3 x 5

Prime factors of 51 are 3 x 17

The highest common occurrence is 3¹

Therefore, GCD of 42, 27, 30, 51 is 3.

Given numbers are 42, 27, 30, 51

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

Apply this formula for all numbers.

Step1:

LCM(42, 27) = 378

GCD(42, 27) = ( 42 x 27 ) / 378

= 42 / 27

= 42

Step2:

LCM(3, 30) = 30

GCD(3, 30) = ( 3 x 30 ) / 30

= 3 / 30

= 3

Step3:

LCM(3, 51) = 51

GCD(3, 51) = ( 3 x 51 ) / 51

= 3 / 51

= 3

So, Greatest Common Divisor of 42, 27, 30, 51 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 99, 99, 72, 26
• GCD of 98, 64, 75, 69
• GCD of 32, 51, 19, 87
• GCD of 65, 79, 97, 97
• GCD of 28, 39, 86, 34

Given numbers are 42, 27, 30, 51
The greatest common divisor of numbers 42, 27, 30, 51 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 42, 27, 30, 51 is 3.

1. What is the GCD of 42, 27, 30, 51?

GCD of given numbers 42, 27, 30, 51 is 3

2. How to calculate the greatest common divisor of 42, 27, 30, 51?

We can find the highest common divisor of 42, 27, 30, 51 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 42, 27, 30, 51 i.e 3.

3. How can I use the GCD of 42, 27, 30, 51Calculator?

Out the numbers 42, 27, 30, 51 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.