GCD of 48, 86, 45, 15 Calculator

Given Input numbers are 48, 86, 45, 15

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

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

Divisors of 86

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

1, 2, 43, 86

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Greatest Common Divisior

We found the divisors of 48, 86, 45, 15 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 86, 45, 15 is 1.

Therefore, GCD of numbers 48, 86, 45, 15 is 1

Given Input Data is 48, 86, 45, 15

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

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 86 is 2 x 43

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 15 is 3 x 5

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(48, 86) = 2064

GCD(48, 86) = ( 48 x 86 ) / 2064

GCD(48, 86) = 4128 / 2064

GCD(48, 86) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 45

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

LCM(2, 45) = 90

GCD(2, 45) = ( 2 x 45 ) / 90

GCD(2, 45) = 90 / 90

GCD(2, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 15

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

LCM(1, 15) = 15

GCD(1, 15) = ( 1 x 15 ) / 15

GCD(1, 15) = 15 / 15

GCD(1, 15) = 1

GCD of 48, 86, 45, 15 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 18, 46, 59, 73
• GCD of 29, 75, 47, 78
• GCD of 96, 48, 31, 83
• GCD of 94, 85, 79, 64
• GCD of 89, 29, 40, 21

1. What is the GCD of 48, 86, 45, 15?

GCD of 48, 86, 45, 15 is 1

2. Where do I get the detailed procedure to find GCD of 48, 86, 45, 15?

You can find a detailed procedure to find GCD of 48, 86, 45, 15 on our page.

3. How to find GCD of 48, 86, 45, 15 on a calculator?

You can find the GCD of 48, 86, 45, 15 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.