GCD of 86, 92, 84, 69 Calculator

Given Input numbers are 86, 92, 84, 69

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

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

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 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Greatest Common Divisior

We found the divisors of 86, 92, 84, 69 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 86, 92, 84, 69 is 1.

Therefore, GCD of numbers 86, 92, 84, 69 is 1

Given Input Data is 86, 92, 84, 69

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

Prime Factorization of 86 is 2 x 43

Prime Factorization of 92 is 2 x 2 x 23

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

Prime Factorization of 69 is 3 x 23

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(86, 92) = 3956

GCD(86, 92) = ( 86 x 92 ) / 3956

GCD(86, 92) = 7912 / 3956

GCD(86, 92) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 84

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

LCM(2, 84) = 84

GCD(2, 84) = ( 2 x 84 ) / 84

GCD(2, 84) = 168 / 84

GCD(2, 84) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 69

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

LCM(2, 69) = 138

GCD(2, 69) = ( 2 x 69 ) / 138

GCD(2, 69) = 138 / 138

GCD(2, 69) = 1

GCD of 86, 92, 84, 69 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 45, 98, 10, 96
• GCD of 25, 46, 14, 17
• GCD of 35, 67, 29, 55
• GCD of 45, 44, 25, 57
• GCD of 84, 54, 24, 60

1. What is the GCD of 86, 92, 84, 69?

GCD of 86, 92, 84, 69 is 1

2. Where do I get the detailed procedure to find GCD of 86, 92, 84, 69?

You can find a detailed procedure to find GCD of 86, 92, 84, 69 on our page.

3. How to find GCD of 86, 92, 84, 69 on a calculator?

You can find the GCD of 86, 92, 84, 69 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.