GCD of 48, 75, 10, 82 Calculator

Given Input numbers are 48, 75, 10, 82

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 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 10

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

1, 2, 5, 10

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Greatest Common Divisior

We found the divisors of 48, 75, 10, 82 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 75, 10, 82 is 1.

Therefore, GCD of numbers 48, 75, 10, 82 is 1

Given Input Data is 48, 75, 10, 82

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 75 is 3 x 5 x 5

Prime Factorization of 10 is 2 x 5

Prime Factorization of 82 is 2 x 41

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, 75) = 1200

GCD(48, 75) = ( 48 x 75 ) / 1200

GCD(48, 75) = 3600 / 1200

GCD(48, 75) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 10

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

LCM(3, 10) = 30

GCD(3, 10) = ( 3 x 10 ) / 30

GCD(3, 10) = 30 / 30

GCD(3, 10) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 82

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

LCM(1, 82) = 82

GCD(1, 82) = ( 1 x 82 ) / 82

GCD(1, 82) = 82 / 82

GCD(1, 82) = 1

GCD of 48, 75, 10, 82 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 60, 94, 72, 90
• GCD of 58, 56, 93, 28
• GCD of 25, 26, 98, 34
• GCD of 77, 54, 64, 39
• GCD of 82, 82, 24, 92

1. What is the GCD of 48, 75, 10, 82?

GCD of 48, 75, 10, 82 is 1

2. Where do I get the detailed procedure to find GCD of 48, 75, 10, 82?

You can find a detailed procedure to find GCD of 48, 75, 10, 82 on our page.

3. How to find GCD of 48, 75, 10, 82 on a calculator?

You can find the GCD of 48, 75, 10, 82 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.