GCD of 84, 8, 77, 36 Calculator

Given Input numbers are 84, 8, 77, 36

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

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 8

List of positive integer divisors of 8 that divides 8 without a remainder.

1, 2, 4, 8

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 84, 8, 77, 36 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 8, 77, 36 is 1.

Therefore, GCD of numbers 84, 8, 77, 36 is 1

Given Input Data is 84, 8, 77, 36

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

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 8 is 2 x 2 x 2

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(84, 8) = 168

GCD(84, 8) = ( 84 x 8 ) / 168

GCD(84, 8) = 672 / 168

GCD(84, 8) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 77

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

LCM(4, 77) = 308

GCD(4, 77) = ( 4 x 77 ) / 308

GCD(4, 77) = 308 / 308

GCD(4, 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 84, 8, 77, 36 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 33, 9, 76, 24
• GCD of 76, 1, 74, 63
• GCD of 59, 9, 52, 94
• GCD of 10, 7, 70, 77
• GCD of 45, 1, 65, 64

1. What is the GCD of 84, 8, 77, 36?

GCD of 84, 8, 77, 36 is 1

2. Where do I get the detailed procedure to find GCD of 84, 8, 77, 36?

You can find a detailed procedure to find GCD of 84, 8, 77, 36 on our page.

3. How to find GCD of 84, 8, 77, 36 on a calculator?

You can find the GCD of 84, 8, 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.