GCD of 364, 264, 821, 341 Calculator

Given Input numbers are 364, 264, 821, 341

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

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 821

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

1, 821

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Greatest Common Divisior

We found the divisors of 364, 264, 821, 341 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 264, 821, 341 is 1.

Therefore, GCD of numbers 364, 264, 821, 341 is 1

Given Input Data is 364, 264, 821, 341

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

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 821 is 821

Prime Factorization of 341 is 11 x 31

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(364, 264) = 24024

GCD(364, 264) = ( 364 x 264 ) / 24024

GCD(364, 264) = 96096 / 24024

GCD(364, 264) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 821

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

LCM(4, 821) = 3284

GCD(4, 821) = ( 4 x 821 ) / 3284

GCD(4, 821) = 3284 / 3284

GCD(4, 821) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 341

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

LCM(1, 341) = 341

GCD(1, 341) = ( 1 x 341 ) / 341

GCD(1, 341) = 341 / 341

GCD(1, 341) = 1

GCD of 364, 264, 821, 341 is 1

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• GCD of 309, 392, 782, 821
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1. What is the GCD of 364, 264, 821, 341?

GCD of 364, 264, 821, 341 is 1

2. Where do I get the detailed procedure to find GCD of 364, 264, 821, 341?

You can find a detailed procedure to find GCD of 364, 264, 821, 341 on our page.

3. How to find GCD of 364, 264, 821, 341 on a calculator?

You can find the GCD of 364, 264, 821, 341 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.