GCD of 14, 36, 80, 66 Calculator

Given Input numbers are 14, 36, 80, 66

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 36 :

The positive integer divisors of 36 that completely divides 36 are.

1, 2, 3, 4, 6, 9, 12, 18, 36

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 66 :

The positive integer divisors of 66 that completely divides 66 are.

1, 2, 3, 6, 11, 22, 33, 66

GCD of numbers is the greatest common divisor

So, the GCD (14, 36, 80, 66) = 2.

Given numbers are 14, 36, 80, 66

The list of prime factors of all numbers are

Prime factors of 14 are 2 x 7

Prime factors of 36 are 2 x 2 x 3 x 3

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

Prime factors of 66 are 2 x 3 x 11

The highest common occurrence is 2¹

Therefore, GCD of 14, 36, 80, 66 is 2.

Given numbers are 14, 36, 80, 66

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

Apply this formula for all numbers.

Step1:

LCM(14, 36) = 252

GCD(14, 36) = ( 14 x 36 ) / 252

= 14 / 36

= 14

Step2:

LCM(2, 80) = 80

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

= 2 / 80

= 2

Step3:

LCM(2, 66) = 66

GCD(2, 66) = ( 2 x 66 ) / 66

= 2 / 66

= 2

So, Greatest Common Divisor of 14, 36, 80, 66 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 46, 28, 79, 18
• GCD of 42, 23, 56, 44
• GCD of 69, 64, 52, 34
• GCD of 99, 11, 85, 84
• GCD of 40, 32, 55, 77

Given numbers are 14, 36, 80, 66
The greatest common divisor of numbers 14, 36, 80, 66 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 14, 36, 80, 66 is 2.

1. What is the GCD of 14, 36, 80, 66?

GCD of given numbers 14, 36, 80, 66 is 2

2. How to calculate the greatest common divisor of 14, 36, 80, 66?

We can find the highest common divisor of 14, 36, 80, 66 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, 36, 80, 66 i.e 2.

3. How can I use the GCD of 14, 36, 80, 66Calculator?

Out the numbers 14, 36, 80, 66 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.