GCD of 322, 276, 143, 649 Calculator

Given Input numbers are 322, 276, 143, 649

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

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 143

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

1, 11, 13, 143

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Greatest Common Divisior

We found the divisors of 322, 276, 143, 649 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 322, 276, 143, 649 is 1.

Therefore, GCD of numbers 322, 276, 143, 649 is 1

Given Input Data is 322, 276, 143, 649

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

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 276 is 2 x 2 x 3 x 23

Prime Factorization of 143 is 11 x 13

Prime Factorization of 649 is 11 x 59

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(322, 276) = 1932

GCD(322, 276) = ( 322 x 276 ) / 1932

GCD(322, 276) = 88872 / 1932

GCD(322, 276) = 46

Step2:

Here we consider the GCD from the above i.e. 46 as first number and the next as 143

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

LCM(46, 143) = 6578

GCD(46, 143) = ( 46 x 143 ) / 6578

GCD(46, 143) = 6578 / 6578

GCD(46, 143) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 649

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

LCM(1, 649) = 649

GCD(1, 649) = ( 1 x 649 ) / 649

GCD(1, 649) = 649 / 649

GCD(1, 649) = 1

GCD of 322, 276, 143, 649 is 1

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1. What is the GCD of 322, 276, 143, 649?

GCD of 322, 276, 143, 649 is 1

2. Where do I get the detailed procedure to find GCD of 322, 276, 143, 649?

You can find a detailed procedure to find GCD of 322, 276, 143, 649 on our page.

3. How to find GCD of 322, 276, 143, 649 on a calculator?

You can find the GCD of 322, 276, 143, 649 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.