GCD of 994, 910, 31, 693 Calculator

Given Input numbers are 994, 910, 31, 693

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

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 910

List of positive integer divisors of 910 that divides 910 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Greatest Common Divisior

We found the divisors of 994, 910, 31, 693 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 994, 910, 31, 693 is 1.

Therefore, GCD of numbers 994, 910, 31, 693 is 1

Given Input Data is 994, 910, 31, 693

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

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 910 is 2 x 5 x 7 x 13

Prime Factorization of 31 is 31

Prime Factorization of 693 is 3 x 3 x 7 x 11

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(994, 910) = 64610

GCD(994, 910) = ( 994 x 910 ) / 64610

GCD(994, 910) = 904540 / 64610

GCD(994, 910) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 31

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

LCM(14, 31) = 434

GCD(14, 31) = ( 14 x 31 ) / 434

GCD(14, 31) = 434 / 434

GCD(14, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 693

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

LCM(1, 693) = 693

GCD(1, 693) = ( 1 x 693 ) / 693

GCD(1, 693) = 693 / 693

GCD(1, 693) = 1

GCD of 994, 910, 31, 693 is 1

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1. What is the GCD of 994, 910, 31, 693?

GCD of 994, 910, 31, 693 is 1

2. Where do I get the detailed procedure to find GCD of 994, 910, 31, 693?

You can find a detailed procedure to find GCD of 994, 910, 31, 693 on our page.

3. How to find GCD of 994, 910, 31, 693 on a calculator?

You can find the GCD of 994, 910, 31, 693 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.