GCD of 807, 236, 102, 309 Calculator

Given Input numbers are 807, 236, 102, 309

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

Divisors of 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Divisors of 236

List of positive integer divisors of 236 that divides 236 without a remainder.

1, 2, 4, 59, 118, 236

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

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 807, 236, 102, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 807, 236, 102, 309 is 1.

Therefore, GCD of numbers 807, 236, 102, 309 is 1

Given Input Data is 807, 236, 102, 309

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

Prime Factorization of 807 is 3 x 269

Prime Factorization of 236 is 2 x 2 x 59

Prime Factorization of 102 is 2 x 3 x 17

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(807, 236) = 190452

GCD(807, 236) = ( 807 x 236 ) / 190452

GCD(807, 236) = 190452 / 190452

GCD(807, 236) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 102

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

LCM(1, 102) = 102

GCD(1, 102) = ( 1 x 102 ) / 102

GCD(1, 102) = 102 / 102

GCD(1, 102) = 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 807, 236, 102, 309 is 1

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1. What is the GCD of 807, 236, 102, 309?

GCD of 807, 236, 102, 309 is 1

2. Where do I get the detailed procedure to find GCD of 807, 236, 102, 309?

You can find a detailed procedure to find GCD of 807, 236, 102, 309 on our page.

3. How to find GCD of 807, 236, 102, 309 on a calculator?

You can find the GCD of 807, 236, 102, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.