GCD of 892, 239, 40, 309 Calculator

Given Input numbers are 892, 239, 40, 309

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

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 239

List of positive integer divisors of 239 that divides 239 without a remainder.

1, 239

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

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 892, 239, 40, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 892, 239, 40, 309 is 1.

Therefore, GCD of numbers 892, 239, 40, 309 is 1

Given Input Data is 892, 239, 40, 309

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

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 239 is 239

Prime Factorization of 40 is 2 x 2 x 2 x 5

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(892, 239) = 213188

GCD(892, 239) = ( 892 x 239 ) / 213188

GCD(892, 239) = 213188 / 213188

GCD(892, 239) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 40

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

LCM(1, 40) = 40

GCD(1, 40) = ( 1 x 40 ) / 40

GCD(1, 40) = 40 / 40

GCD(1, 40) = 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 892, 239, 40, 309 is 1

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1. What is the GCD of 892, 239, 40, 309?

GCD of 892, 239, 40, 309 is 1

2. Where do I get the detailed procedure to find GCD of 892, 239, 40, 309?

You can find a detailed procedure to find GCD of 892, 239, 40, 309 on our page.

3. How to find GCD of 892, 239, 40, 309 on a calculator?

You can find the GCD of 892, 239, 40, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.