GCD of 139, 400, 440, 648 Calculator

Given Input numbers are 139, 400, 440, 648

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

Divisors of 139

List of positive integer divisors of 139 that divides 139 without a remainder.

1, 139

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

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 139, 400, 440, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 139, 400, 440, 648 is 1.

Therefore, GCD of numbers 139, 400, 440, 648 is 1

Given Input Data is 139, 400, 440, 648

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

Prime Factorization of 139 is 139

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

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(139, 400) = 55600

GCD(139, 400) = ( 139 x 400 ) / 55600

GCD(139, 400) = 55600 / 55600

GCD(139, 400) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 440

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

LCM(1, 440) = 440

GCD(1, 440) = ( 1 x 440 ) / 440

GCD(1, 440) = 440 / 440

GCD(1, 440) = 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 139, 400, 440, 648 is 1

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1. What is the GCD of 139, 400, 440, 648?

GCD of 139, 400, 440, 648 is 1

2. Where do I get the detailed procedure to find GCD of 139, 400, 440, 648?

You can find a detailed procedure to find GCD of 139, 400, 440, 648 on our page.

3. How to find GCD of 139, 400, 440, 648 on a calculator?

You can find the GCD of 139, 400, 440, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.