GCD of 821, 265, 143, 648 Calculator

Given Input numbers are 821, 265, 143, 648

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

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Divisors of 265

List of positive integer divisors of 265 that divides 265 without a remainder.

1, 5, 53, 265

Divisors of 143

List of positive integer divisors of 143 that divides 143 without a remainder.

1, 11, 13, 143

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 821, 265, 143, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 265, 143, 648 is 1.

Therefore, GCD of numbers 821, 265, 143, 648 is 1

Given Input Data is 821, 265, 143, 648

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

Prime Factorization of 821 is 821

Prime Factorization of 265 is 5 x 53

Prime Factorization of 143 is 11 x 13

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(821, 265) = 217565

GCD(821, 265) = ( 821 x 265 ) / 217565

GCD(821, 265) = 217565 / 217565

GCD(821, 265) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 143

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

LCM(1, 143) = 143

GCD(1, 143) = ( 1 x 143 ) / 143

GCD(1, 143) = 143 / 143

GCD(1, 143) = 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 821, 265, 143, 648 is 1

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1. What is the GCD of 821, 265, 143, 648?

GCD of 821, 265, 143, 648 is 1

2. Where do I get the detailed procedure to find GCD of 821, 265, 143, 648?

You can find a detailed procedure to find GCD of 821, 265, 143, 648 on our page.

3. How to find GCD of 821, 265, 143, 648 on a calculator?

You can find the GCD of 821, 265, 143, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.