GCD of 86, 38, 53, 48 Calculator

Given Input numbers are 86, 38, 53, 48

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 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Greatest Common Divisior

We found the divisors of 86, 38, 53, 48 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 86, 38, 53, 48 is 1.

Therefore, GCD of numbers 86, 38, 53, 48 is 1

Given Input Data is 86, 38, 53, 48

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 53 is 53

Prime Factorization of 48 is 2 x 2 x 2 x 2 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(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 53

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

LCM(2, 53) = 106

GCD(2, 53) = ( 2 x 53 ) / 106

GCD(2, 53) = 106 / 106

GCD(2, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 48

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

LCM(1, 48) = 48

GCD(1, 48) = ( 1 x 48 ) / 48

GCD(1, 48) = 48 / 48

GCD(1, 48) = 1

GCD of 86, 38, 53, 48 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 73, 93, 21, 21
• GCD of 51, 51, 16, 75
• GCD of 22, 41, 44, 91
• GCD of 94, 85, 40, 74
• GCD of 93, 42, 53, 30

1. What is the GCD of 86, 38, 53, 48?

GCD of 86, 38, 53, 48 is 1

2. Where do I get the detailed procedure to find GCD of 86, 38, 53, 48?

You can find a detailed procedure to find GCD of 86, 38, 53, 48 on our page.

3. How to find GCD of 86, 38, 53, 48 on a calculator?

You can find the GCD of 86, 38, 53, 48 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.