GCD of 10, 48, 57, 96 Calculator

Given Input numbers are 10, 48, 57, 96

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

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

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 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Greatest Common Divisior

We found the divisors of 10, 48, 57, 96 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 48, 57, 96 is 1.

Therefore, GCD of numbers 10, 48, 57, 96 is 1

Given Input Data is 10, 48, 57, 96

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

Prime Factorization of 10 is 2 x 5

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

Prime Factorization of 57 is 3 x 19

Prime Factorization of 96 is 2 x 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(10, 48) = 240

GCD(10, 48) = ( 10 x 48 ) / 240

GCD(10, 48) = 480 / 240

GCD(10, 48) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 57

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

LCM(2, 57) = 114

GCD(2, 57) = ( 2 x 57 ) / 114

GCD(2, 57) = 114 / 114

GCD(2, 57) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 96

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

LCM(1, 96) = 96

GCD(1, 96) = ( 1 x 96 ) / 96

GCD(1, 96) = 96 / 96

GCD(1, 96) = 1

GCD of 10, 48, 57, 96 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 92, 95, 35, 14
• GCD of 62, 60, 49, 22
• GCD of 87, 11, 82, 41
• GCD of 67, 83, 83, 58
• GCD of 64, 44, 84, 44

1. What is the GCD of 10, 48, 57, 96?

GCD of 10, 48, 57, 96 is 1

2. Where do I get the detailed procedure to find GCD of 10, 48, 57, 96?

You can find a detailed procedure to find GCD of 10, 48, 57, 96 on our page.

3. How to find GCD of 10, 48, 57, 96 on a calculator?

You can find the GCD of 10, 48, 57, 96 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.