GCD of 321, 249, 61, 132 Calculator

Given Input numbers are 321, 249, 61, 132

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

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Greatest Common Divisior

We found the divisors of 321, 249, 61, 132 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 249, 61, 132 is 1.

Therefore, GCD of numbers 321, 249, 61, 132 is 1

Given Input Data is 321, 249, 61, 132

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

Prime Factorization of 321 is 3 x 107

Prime Factorization of 249 is 3 x 83

Prime Factorization of 61 is 61

Prime Factorization of 132 is 2 x 2 x 3 x 11

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(321, 249) = 26643

GCD(321, 249) = ( 321 x 249 ) / 26643

GCD(321, 249) = 79929 / 26643

GCD(321, 249) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 61

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

LCM(3, 61) = 183

GCD(3, 61) = ( 3 x 61 ) / 183

GCD(3, 61) = 183 / 183

GCD(3, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 132

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

LCM(1, 132) = 132

GCD(1, 132) = ( 1 x 132 ) / 132

GCD(1, 132) = 132 / 132

GCD(1, 132) = 1

GCD of 321, 249, 61, 132 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 339, 418, 77, 793
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• GCD of 622, 501, 40, 932
• GCD of 224, 493, 65, 648
• GCD of 151, 814, 78, 877

1. What is the GCD of 321, 249, 61, 132?

GCD of 321, 249, 61, 132 is 1

2. Where do I get the detailed procedure to find GCD of 321, 249, 61, 132?

You can find a detailed procedure to find GCD of 321, 249, 61, 132 on our page.

3. How to find GCD of 321, 249, 61, 132 on a calculator?

You can find the GCD of 321, 249, 61, 132 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.