GCD of 648, 191, 955, 420 Calculator

Given Input numbers are 648, 191, 955, 420

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

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

Divisors of 191

List of positive integer divisors of 191 that divides 191 without a remainder.

1, 191

Divisors of 955

List of positive integer divisors of 955 that divides 955 without a remainder.

1, 5, 191, 955

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Greatest Common Divisior

We found the divisors of 648, 191, 955, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 648, 191, 955, 420 is 1.

Therefore, GCD of numbers 648, 191, 955, 420 is 1

Given Input Data is 648, 191, 955, 420

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

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 191 is 191

Prime Factorization of 955 is 5 x 191

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

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(648, 191) = 123768

GCD(648, 191) = ( 648 x 191 ) / 123768

GCD(648, 191) = 123768 / 123768

GCD(648, 191) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 955

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

LCM(1, 955) = 955

GCD(1, 955) = ( 1 x 955 ) / 955

GCD(1, 955) = 955 / 955

GCD(1, 955) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 420

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

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

GCD(1, 420) = 420 / 420

GCD(1, 420) = 1

GCD of 648, 191, 955, 420 is 1

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1. What is the GCD of 648, 191, 955, 420?

GCD of 648, 191, 955, 420 is 1

2. Where do I get the detailed procedure to find GCD of 648, 191, 955, 420?

You can find a detailed procedure to find GCD of 648, 191, 955, 420 on our page.

3. How to find GCD of 648, 191, 955, 420 on a calculator?

You can find the GCD of 648, 191, 955, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.