GCD of 14, 38, 80, 58 Calculator

Given Input numbers are 14, 38, 80, 58

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

Divisors of 14 :

The positive integer divisors of 14 that completely divides 14 are.

1, 2, 7, 14

Divisors of 38 :

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

1, 2, 19, 38

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 58 :

The positive integer divisors of 58 that completely divides 58 are.

1, 2, 29, 58

GCD of numbers is the greatest common divisor

So, the GCD (14, 38, 80, 58) = 2.

Given numbers are 14, 38, 80, 58

The list of prime factors of all numbers are

Prime factors of 14 are 2 x 7

Prime factors of 38 are 2 x 19

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

Prime factors of 58 are 2 x 29

The highest common occurrence is 2¹

Therefore, GCD of 14, 38, 80, 58 is 2.

Given numbers are 14, 38, 80, 58

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

Apply this formula for all numbers.

Step1:

LCM(14, 38) = 266

GCD(14, 38) = ( 14 x 38 ) / 266

= 14 / 38

= 14

Step2:

LCM(2, 80) = 80

GCD(2, 80) = ( 2 x 80 ) / 80

= 2 / 80

= 2

Step3:

LCM(2, 58) = 58

GCD(2, 58) = ( 2 x 58 ) / 58

= 2 / 58

= 2

So, Greatest Common Divisor of 14, 38, 80, 58 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 31, 11, 48, 60
• GCD of 87, 46, 60, 14
• GCD of 12, 15, 63, 93
• GCD of 72, 25, 76, 25
• GCD of 63, 35, 81, 89

Given numbers are 14, 38, 80, 58
The greatest common divisor of numbers 14, 38, 80, 58 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 14, 38, 80, 58 is 2.

1. What is the GCD of 14, 38, 80, 58?

GCD of given numbers 14, 38, 80, 58 is 2

2. How to calculate the greatest common divisor of 14, 38, 80, 58?

We can find the highest common divisor of 14, 38, 80, 58 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 14, 38, 80, 58 i.e 2.

3. How can I use the GCD of 14, 38, 80, 58Calculator?

Out the numbers 14, 38, 80, 58 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.