GCD of 86, 38, 19, 67 Calculator

Given Input numbers are 86, 38, 19, 67

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 38

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

1, 2, 19, 38

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Greatest Common Divisior

We found the divisors of 86, 38, 19, 67 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 86, 38, 19, 67 is 1.

Therefore, GCD of numbers 86, 38, 19, 67 is 1

Given Input Data is 86, 38, 19, 67

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

Prime Factorization of 86 is 2 x 43

Prime Factorization of 38 is 2 x 19

Prime Factorization of 19 is 19

Prime Factorization of 67 is 67

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, 38) = 1634

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

GCD(86, 38) = 3268 / 1634

GCD(86, 38) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 19

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

LCM(2, 19) = 38

GCD(2, 19) = ( 2 x 19 ) / 38

GCD(2, 19) = 38 / 38

GCD(2, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 67

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

LCM(1, 67) = 67

GCD(1, 67) = ( 1 x 67 ) / 67

GCD(1, 67) = 67 / 67

GCD(1, 67) = 1

GCD of 86, 38, 19, 67 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 74, 69, 56, 37
• GCD of 55, 20, 95, 24
• GCD of 37, 66, 51, 63
• GCD of 89, 56, 42, 25
• GCD of 65, 16, 94, 62

1. What is the GCD of 86, 38, 19, 67?

GCD of 86, 38, 19, 67 is 1

2. Where do I get the detailed procedure to find GCD of 86, 38, 19, 67?

You can find a detailed procedure to find GCD of 86, 38, 19, 67 on our page.

3. How to find GCD of 86, 38, 19, 67 on a calculator?

You can find the GCD of 86, 38, 19, 67 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.