GCD of 48, 89, 11, 78 Calculator

Given Input numbers are 48, 89, 11, 78

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 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Greatest Common Divisior

We found the divisors of 48, 89, 11, 78 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 89, 11, 78 is 1.

Therefore, GCD of numbers 48, 89, 11, 78 is 1

Given Input Data is 48, 89, 11, 78

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 89 is 89

Prime Factorization of 11 is 11

Prime Factorization of 78 is 2 x 3 x 13

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, 89) = 4272

GCD(48, 89) = ( 48 x 89 ) / 4272

GCD(48, 89) = 4272 / 4272

GCD(48, 89) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 11

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

LCM(1, 11) = 11

GCD(1, 11) = ( 1 x 11 ) / 11

GCD(1, 11) = 11 / 11

GCD(1, 11) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 78

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

LCM(1, 78) = 78

GCD(1, 78) = ( 1 x 78 ) / 78

GCD(1, 78) = 78 / 78

GCD(1, 78) = 1

GCD of 48, 89, 11, 78 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 90, 52, 15, 78
• GCD of 67, 95, 32, 84
• GCD of 64, 55, 60, 75
• GCD of 67, 70, 21, 26
• GCD of 73, 91, 52, 48

1. What is the GCD of 48, 89, 11, 78?

GCD of 48, 89, 11, 78 is 1

2. Where do I get the detailed procedure to find GCD of 48, 89, 11, 78?

You can find a detailed procedure to find GCD of 48, 89, 11, 78 on our page.

3. How to find GCD of 48, 89, 11, 78 on a calculator?

You can find the GCD of 48, 89, 11, 78 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.