GCD of 842, 360, 683, 965 Calculator

Given Input numbers are 842, 360, 683, 965

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 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 683

List of positive integer divisors of 683 that divides 683 without a remainder.

1, 683

Divisors of 965

List of positive integer divisors of 965 that divides 965 without a remainder.

1, 5, 193, 965

Greatest Common Divisior

We found the divisors of 842, 360, 683, 965 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 842, 360, 683, 965 is 1.

Therefore, GCD of numbers 842, 360, 683, 965 is 1

Given Input Data is 842, 360, 683, 965

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

Prime Factorization of 842 is 2 x 421

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 683 is 683

Prime Factorization of 965 is 5 x 193

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, 360) = 151560

GCD(842, 360) = ( 842 x 360 ) / 151560

GCD(842, 360) = 303120 / 151560

GCD(842, 360) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 683

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

LCM(2, 683) = 1366

GCD(2, 683) = ( 2 x 683 ) / 1366

GCD(2, 683) = 1366 / 1366

GCD(2, 683) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 965

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

LCM(1, 965) = 965

GCD(1, 965) = ( 1 x 965 ) / 965

GCD(1, 965) = 965 / 965

GCD(1, 965) = 1

GCD of 842, 360, 683, 965 is 1

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1. What is the GCD of 842, 360, 683, 965?

GCD of 842, 360, 683, 965 is 1

2. Where do I get the detailed procedure to find GCD of 842, 360, 683, 965?

You can find a detailed procedure to find GCD of 842, 360, 683, 965 on our page.

3. How to find GCD of 842, 360, 683, 965 on a calculator?

You can find the GCD of 842, 360, 683, 965 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.