GCD of 48, 80, 99, 77 Calculator

Given Input numbers are 48, 80, 99, 77

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 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Greatest Common Divisior

We found the divisors of 48, 80, 99, 77 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 80, 99, 77 is 1.

Therefore, GCD of numbers 48, 80, 99, 77 is 1

Given Input Data is 48, 80, 99, 77

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 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 77 is 7 x 11

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, 80) = 240

GCD(48, 80) = ( 48 x 80 ) / 240

GCD(48, 80) = 3840 / 240

GCD(48, 80) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 99

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

LCM(16, 99) = 1584

GCD(16, 99) = ( 16 x 99 ) / 1584

GCD(16, 99) = 1584 / 1584

GCD(16, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 77

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

LCM(1, 77) = 77

GCD(1, 77) = ( 1 x 77 ) / 77

GCD(1, 77) = 77 / 77

GCD(1, 77) = 1

GCD of 48, 80, 99, 77 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 83, 83, 20, 57
• GCD of 38, 21, 33, 45
• GCD of 15, 36, 15, 72
• GCD of 30, 17, 80, 62
• GCD of 13, 51, 59, 49

1. What is the GCD of 48, 80, 99, 77?

GCD of 48, 80, 99, 77 is 1

2. Where do I get the detailed procedure to find GCD of 48, 80, 99, 77?

You can find a detailed procedure to find GCD of 48, 80, 99, 77 on our page.

3. How to find GCD of 48, 80, 99, 77 on a calculator?

You can find the GCD of 48, 80, 99, 77 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.