GCD of 48, 125, 205, 648 Calculator

Given Input numbers are 48, 125, 205, 648

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 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Greatest Common Divisior

We found the divisors of 48, 125, 205, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 125, 205, 648 is 1.

Therefore, GCD of numbers 48, 125, 205, 648 is 1

Given Input Data is 48, 125, 205, 648

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 125 is 5 x 5 x 5

Prime Factorization of 205 is 5 x 41

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 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(48, 125) = 6000

GCD(48, 125) = ( 48 x 125 ) / 6000

GCD(48, 125) = 6000 / 6000

GCD(48, 125) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 205

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

LCM(1, 205) = 205

GCD(1, 205) = ( 1 x 205 ) / 205

GCD(1, 205) = 205 / 205

GCD(1, 205) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 648

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

LCM(1, 648) = 648

GCD(1, 648) = ( 1 x 648 ) / 648

GCD(1, 648) = 648 / 648

GCD(1, 648) = 1

GCD of 48, 125, 205, 648 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 62, 225, 845, 826
• GCD of 87, 455, 428, 468
• GCD of 71, 783, 997, 549
• GCD of 82, 915, 164, 974
• GCD of 19, 260, 649, 260

1. What is the GCD of 48, 125, 205, 648?

GCD of 48, 125, 205, 648 is 1

2. Where do I get the detailed procedure to find GCD of 48, 125, 205, 648?

You can find a detailed procedure to find GCD of 48, 125, 205, 648 on our page.

3. How to find GCD of 48, 125, 205, 648 on a calculator?

You can find the GCD of 48, 125, 205, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.