GCD of 984, 314, 965, 810 Calculator

Given Input numbers are 984, 314, 965, 810

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

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 965

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

1, 5, 193, 965

Divisors of 810

List of positive integer divisors of 810 that divides 810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Greatest Common Divisior

We found the divisors of 984, 314, 965, 810 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 984, 314, 965, 810 is 1.

Therefore, GCD of numbers 984, 314, 965, 810 is 1

Given Input Data is 984, 314, 965, 810

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

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 314 is 2 x 157

Prime Factorization of 965 is 5 x 193

Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5

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(984, 314) = 154488

GCD(984, 314) = ( 984 x 314 ) / 154488

GCD(984, 314) = 308976 / 154488

GCD(984, 314) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 965

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

LCM(2, 965) = 1930

GCD(2, 965) = ( 2 x 965 ) / 1930

GCD(2, 965) = 1930 / 1930

GCD(2, 965) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 810

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

LCM(1, 810) = 810

GCD(1, 810) = ( 1 x 810 ) / 810

GCD(1, 810) = 810 / 810

GCD(1, 810) = 1

GCD of 984, 314, 965, 810 is 1

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1. What is the GCD of 984, 314, 965, 810?

GCD of 984, 314, 965, 810 is 1

2. Where do I get the detailed procedure to find GCD of 984, 314, 965, 810?

You can find a detailed procedure to find GCD of 984, 314, 965, 810 on our page.

3. How to find GCD of 984, 314, 965, 810 on a calculator?

You can find the GCD of 984, 314, 965, 810 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.