GCD of 92, 6, 42, 38 Calculator

Given Input numbers are 92, 6, 42, 38

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

Divisors of 92 :

The positive integer divisors of 92 that completely divides 92 are.

1, 2, 4, 23, 46, 92

Divisors of 6 :

The positive integer divisors of 6 that completely divides 6 are.

1, 2, 3, 6

Divisors of 42 :

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

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

Divisors of 38 :

The positive integer divisors of 38 that completely divides 38 are.

1, 2, 19, 38

GCD of numbers is the greatest common divisor

So, the GCD (92, 6, 42, 38) = 2.

Given numbers are 92, 6, 42, 38

The list of prime factors of all numbers are

Prime factors of 92 are 2 x 2 x 23

Prime factors of 6 are 2 x 3

Prime factors of 42 are 2 x 3 x 7

Prime factors of 38 are 2 x 19

The highest common occurrence is 2¹

Therefore, GCD of 92, 6, 42, 38 is 2.

Given numbers are 92, 6, 42, 38

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

Apply this formula for all numbers.

Step1:

LCM(92, 6) = 276

GCD(92, 6) = ( 92 x 6 ) / 276

= 92 / 6

= 92

Step2:

LCM(2, 42) = 42

GCD(2, 42) = ( 2 x 42 ) / 42

= 2 / 42

= 2

Step3:

LCM(2, 38) = 38

GCD(2, 38) = ( 2 x 38 ) / 38

= 2 / 38

= 2

So, Greatest Common Divisor of 92, 6, 42, 38 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 67, 7, 76, 29
• GCD of 63, 2, 79, 45
• GCD of 25, 5, 75, 74
• GCD of 27, 1, 56, 67
• GCD of 56, 4, 74, 71

Given numbers are 92, 6, 42, 38
The greatest common divisor of numbers 92, 6, 42, 38 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 92, 6, 42, 38 is 2.

1. What is the GCD of 92, 6, 42, 38?

GCD of given numbers 92, 6, 42, 38 is 2

2. How to calculate the greatest common divisor of 92, 6, 42, 38?

We can find the highest common divisor of 92, 6, 42, 38 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 92, 6, 42, 38 i.e 2.

3. How can I use the GCD of 92, 6, 42, 38Calculator?

Out the numbers 92, 6, 42, 38 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.