GCD of 68, 18, 77, 36 Calculator

Given Input numbers are 68, 18, 77, 36

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

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

Greatest Common Divisior

We found the divisors of 68, 18, 77, 36 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 68, 18, 77, 36 is 1.

Therefore, GCD of numbers 68, 18, 77, 36 is 1

Given Input Data is 68, 18, 77, 36

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 77 is 7 x 11

Prime Factorization of 36 is 2 x 2 x 3 x 3

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(68, 18) = 612

GCD(68, 18) = ( 68 x 18 ) / 612

GCD(68, 18) = 1224 / 612

GCD(68, 18) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 77

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

LCM(2, 77) = 154

GCD(2, 77) = ( 2 x 77 ) / 154

GCD(2, 77) = 154 / 154

GCD(2, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 36

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

LCM(1, 36) = 36

GCD(1, 36) = ( 1 x 36 ) / 36

GCD(1, 36) = 36 / 36

GCD(1, 36) = 1

GCD of 68, 18, 77, 36 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 92, 22, 45, 24
• GCD of 76, 50, 87, 47
• GCD of 36, 41, 14, 78
• GCD of 93, 49, 13, 30
• GCD of 15, 12, 34, 16

1. What is the GCD of 68, 18, 77, 36?

GCD of 68, 18, 77, 36 is 1

2. Where do I get the detailed procedure to find GCD of 68, 18, 77, 36?

You can find a detailed procedure to find GCD of 68, 18, 77, 36 on our page.

3. How to find GCD of 68, 18, 77, 36 on a calculator?

You can find the GCD of 68, 18, 77, 36 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.