GCD of 14, 80, 34, 68 Calculator

Given Input numbers are 14, 80, 34, 68

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 80 :

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

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

Divisors of 34 :

The positive integer divisors of 34 that completely divides 34 are.

1, 2, 17, 34

Divisors of 68 :

The positive integer divisors of 68 that completely divides 68 are.

1, 2, 4, 17, 34, 68

GCD of numbers is the greatest common divisor

So, the GCD (14, 80, 34, 68) = 2.

Given numbers are 14, 80, 34, 68

The list of prime factors of all numbers are

Prime factors of 14 are 2 x 7

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

Prime factors of 34 are 2 x 17

Prime factors of 68 are 2 x 2 x 17

The highest common occurrence is 2¹

Therefore, GCD of 14, 80, 34, 68 is 2.

Given numbers are 14, 80, 34, 68

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

Apply this formula for all numbers.

Step1:

LCM(14, 80) = 560

GCD(14, 80) = ( 14 x 80 ) / 560

= 14 / 80

= 14

Step2:

LCM(2, 34) = 34

GCD(2, 34) = ( 2 x 34 ) / 34

= 2 / 34

= 2

Step3:

LCM(2, 68) = 68

GCD(2, 68) = ( 2 x 68 ) / 68

= 2 / 68

= 2

So, Greatest Common Divisor of 14, 80, 34, 68 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 40, 26, 18, 95
• GCD of 60, 90, 85, 24
• GCD of 79, 96, 70, 86
• GCD of 58, 80, 46, 58
• GCD of 88, 23, 22, 46

Given numbers are 14, 80, 34, 68
The greatest common divisor of numbers 14, 80, 34, 68 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 14, 80, 34, 68 is 2.

1. What is the GCD of 14, 80, 34, 68?

GCD of given numbers 14, 80, 34, 68 is 2

2. How to calculate the greatest common divisor of 14, 80, 34, 68?

We can find the highest common divisor of 14, 80, 34, 68 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, 80, 34, 68 i.e 2.

3. How can I use the GCD of 14, 80, 34, 68Calculator?

Out the numbers 14, 80, 34, 68 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.