GCD of 693, 419, 916, 313 Calculator

Given Input numbers are 693, 419, 916, 313

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

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

Divisors of 419

List of positive integer divisors of 419 that divides 419 without a remainder.

1, 419

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Greatest Common Divisior

We found the divisors of 693, 419, 916, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 693, 419, 916, 313 is 1.

Therefore, GCD of numbers 693, 419, 916, 313 is 1

Given Input Data is 693, 419, 916, 313

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

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

Prime Factorization of 419 is 419

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 313 is 313

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(693, 419) = 290367

GCD(693, 419) = ( 693 x 419 ) / 290367

GCD(693, 419) = 290367 / 290367

GCD(693, 419) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 916

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

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

GCD(1, 916) = 916 / 916

GCD(1, 916) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 313

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

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

GCD(1, 313) = 313 / 313

GCD(1, 313) = 1

GCD of 693, 419, 916, 313 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 268, 836, 644, 953
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• GCD of 197, 935, 125, 789

1. What is the GCD of 693, 419, 916, 313?

GCD of 693, 419, 916, 313 is 1

2. Where do I get the detailed procedure to find GCD of 693, 419, 916, 313?

You can find a detailed procedure to find GCD of 693, 419, 916, 313 on our page.

3. How to find GCD of 693, 419, 916, 313 on a calculator?

You can find the GCD of 693, 419, 916, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.