GCD of 76, 38, 86, 69 Calculator

Given Input numbers are 76, 38, 86, 69

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

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 86

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

1, 2, 43, 86

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 76, 38, 86, 69 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 76, 38, 86, 69 is 1.

Therefore, GCD of numbers 76, 38, 86, 69 is 1

Given Input Data is 76, 38, 86, 69

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

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 38 is 2 x 19

Prime Factorization of 86 is 2 x 43

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(76, 38) = 76

GCD(76, 38) = ( 76 x 38 ) / 76

GCD(76, 38) = 2888 / 76

GCD(76, 38) = 38

Step2:

Here we consider the GCD from the above i.e. 38 as first number and the next as 86

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

LCM(38, 86) = 1634

GCD(38, 86) = ( 38 x 86 ) / 1634

GCD(38, 86) = 3268 / 1634

GCD(38, 86) = 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 76, 38, 86, 69 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 39, 71, 49, 97
• GCD of 18, 90, 24, 32
• GCD of 87, 90, 11, 90
• GCD of 62, 35, 98, 10
• GCD of 69, 28, 28, 68

1. What is the GCD of 76, 38, 86, 69?

GCD of 76, 38, 86, 69 is 1

2. Where do I get the detailed procedure to find GCD of 76, 38, 86, 69?

You can find a detailed procedure to find GCD of 76, 38, 86, 69 on our page.

3. How to find GCD of 76, 38, 86, 69 on a calculator?

You can find the GCD of 76, 38, 86, 69 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.