GCD of 842, 309, 705 Calculator

Given Input numbers are 842, 309, 705

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

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 309

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

1, 3, 103, 309

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Greatest Common Divisior

We found the divisors of 842, 309, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 842, 309, 705 is 1.

Therefore, GCD of numbers 842, 309, 705 is 1

Given Input Data is 842, 309, 705

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

Prime Factorization of 842 is 2 x 421

Prime Factorization of 309 is 3 x 103

Prime Factorization of 705 is 3 x 5 x 47

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(842, 309) = 260178

GCD(842, 309) = ( 842 x 309 ) / 260178

GCD(842, 309) = 260178 / 260178

GCD(842, 309) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 705

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

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

GCD(1, 705) = 705 / 705

GCD(1, 705) = 1

GCD of 842, 309, 705 is 1

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1. What is the GCD of 842, 309, 705?

GCD of 842, 309, 705 is 1

2. Where do I get the detailed procedure to find GCD of 842, 309, 705?

You can find a detailed procedure to find GCD of 842, 309, 705 on our page.

3. How to find GCD of 842, 309, 705 on a calculator?

You can find the GCD of 842, 309, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.