GCD of 80, 38, 90, 42 Calculator

Given Input numbers are 80, 38, 90, 42

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

Divisors of 80 :

The positive integer divisors of 80 that completely divides 80 are.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 38 :

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

1, 2, 19, 38

Divisors of 90 :

The positive integer divisors of 90 that completely divides 90 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

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 (80, 38, 90, 42) = 2.

Given numbers are 80, 38, 90, 42

The list of prime factors of all numbers are

Prime factors of 80 are 2 x 2 x 2 x 2 x 5

Prime factors of 38 are 2 x 19

Prime factors of 90 are 2 x 3 x 3 x 5

Prime factors of 42 are 2 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 80, 38, 90, 42 is 2.

Given numbers are 80, 38, 90, 42

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

Apply this formula for all numbers.

Step1:

LCM(80, 38) = 1520

GCD(80, 38) = ( 80 x 38 ) / 1520

= 80 / 38

= 80

Step2:

LCM(2, 90) = 90

GCD(2, 90) = ( 2 x 90 ) / 90

= 2 / 90

= 2

Step3:

LCM(2, 42) = 42

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

= 2 / 42

= 2

So, Greatest Common Divisor of 80, 38, 90, 42 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 59, 71, 95, 86
• GCD of 36, 60, 41, 34
• GCD of 80, 40, 57, 67
• GCD of 47, 81, 82, 54
• GCD of 17, 16, 96, 48

Given numbers are 80, 38, 90, 42
The greatest common divisor of numbers 80, 38, 90, 42 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 80, 38, 90, 42 is 2.

1. What is the GCD of 80, 38, 90, 42?

GCD of given numbers 80, 38, 90, 42 is 2

2. How to calculate the greatest common divisor of 80, 38, 90, 42?

We can find the highest common divisor of 80, 38, 90, 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 80, 38, 90, 42 i.e 2.

3. How can I use the GCD of 80, 38, 90, 42Calculator?

Out the numbers 80, 38, 90, 42 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.