GCD of 320, 632, 341, 309 Calculator

Given Input numbers are 320, 632, 341, 309

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

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 341

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

1, 11, 31, 341

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Greatest Common Divisior

We found the divisors of 320, 632, 341, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 632, 341, 309 is 1.

Therefore, GCD of numbers 320, 632, 341, 309 is 1

Given Input Data is 320, 632, 341, 309

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

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 632 is 2 x 2 x 2 x 79

Prime Factorization of 341 is 11 x 31

Prime Factorization of 309 is 3 x 103

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(320, 632) = 25280

GCD(320, 632) = ( 320 x 632 ) / 25280

GCD(320, 632) = 202240 / 25280

GCD(320, 632) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 341

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

LCM(8, 341) = 2728

GCD(8, 341) = ( 8 x 341 ) / 2728

GCD(8, 341) = 2728 / 2728

GCD(8, 341) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 309

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

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

GCD(1, 309) = 309 / 309

GCD(1, 309) = 1

GCD of 320, 632, 341, 309 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 727, 371, 221, 315
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• GCD of 622, 944, 196, 118
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• GCD of 213, 678, 568, 339

1. What is the GCD of 320, 632, 341, 309?

GCD of 320, 632, 341, 309 is 1

2. Where do I get the detailed procedure to find GCD of 320, 632, 341, 309?

You can find a detailed procedure to find GCD of 320, 632, 341, 309 on our page.

3. How to find GCD of 320, 632, 341, 309 on a calculator?

You can find the GCD of 320, 632, 341, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.