GCD of 39, 74, 42, 19 Calculator

Given Input numbers are 39, 74, 42, 19

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

Divisors of 39 :

The positive integer divisors of 39 that completely divides 39 are.

1, 3, 13, 39

Divisors of 74 :

The positive integer divisors of 74 that completely divides 74 are.

1, 2, 37, 74

Divisors of 42 :

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

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

Divisors of 19 :

The positive integer divisors of 19 that completely divides 19 are.

1, 19

GCD of numbers is the greatest common divisor

So, the GCD (39, 74, 42, 19) = 1.

Given numbers are 39, 74, 42, 19

The list of prime factors of all numbers are

Prime factors of 39 are 3 x 13

Prime factors of 74 are 2 x 37

Prime factors of 42 are 2 x 3 x 7

Prime factors of 19 are 19

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 39, 74, 42, 19

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

Apply this formula for all numbers.

Step1:

LCM(39, 74) = 2886

GCD(39, 74) = ( 39 x 74 ) / 2886

= 39 / 74

= 39

Step2:

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

= 1 / 42

= 1

Step3:

LCM(1, 19) = 19

GCD(1, 19) = ( 1 x 19 ) / 19

= 1 / 19

= 1

So, Greatest Common Divisor of 39, 74, 42, 19 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 13, 93, 41, 99
• GCD of 14, 17, 69, 65
• GCD of 76, 38, 44, 77
• GCD of 34, 48, 49, 34
• GCD of 56, 59, 40, 90

Given numbers are 39, 74, 42, 19
The greatest common divisor of numbers 39, 74, 42, 19 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 39, 74, 42, 19 is 1.

1. What is the GCD of 39, 74, 42, 19?

GCD of given numbers 39, 74, 42, 19 is 1

2. How to calculate the greatest common divisor of 39, 74, 42, 19?

We can find the highest common divisor of 39, 74, 42, 19 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 39, 74, 42, 19 i.e 1.

3. How can I use the GCD of 39, 74, 42, 19Calculator?

Out the numbers 39, 74, 42, 19 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.