GCD of 93, 969, 313, 699 Calculator

Given Input numbers are 93, 969, 313, 699

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

Divisors of 93

List of positive integer divisors of 93 that divides 93 without a remainder.

1, 3, 31, 93

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 313

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

1, 313

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Greatest Common Divisior

We found the divisors of 93, 969, 313, 699 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 93, 969, 313, 699 is 1.

Therefore, GCD of numbers 93, 969, 313, 699 is 1

Given Input Data is 93, 969, 313, 699

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

Prime Factorization of 93 is 3 x 31

Prime Factorization of 969 is 3 x 17 x 19

Prime Factorization of 313 is 313

Prime Factorization of 699 is 3 x 233

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(93, 969) = 30039

GCD(93, 969) = ( 93 x 969 ) / 30039

GCD(93, 969) = 90117 / 30039

GCD(93, 969) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 313

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

LCM(3, 313) = 939

GCD(3, 313) = ( 3 x 313 ) / 939

GCD(3, 313) = 939 / 939

GCD(3, 313) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 699

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

LCM(1, 699) = 699

GCD(1, 699) = ( 1 x 699 ) / 699

GCD(1, 699) = 699 / 699

GCD(1, 699) = 1

GCD of 93, 969, 313, 699 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 14, 529, 364, 698
• GCD of 84, 589, 574, 346
• GCD of 10, 486, 752, 429
• GCD of 97, 719, 757, 986
• GCD of 90, 517, 780, 120

1. What is the GCD of 93, 969, 313, 699?

GCD of 93, 969, 313, 699 is 1

2. Where do I get the detailed procedure to find GCD of 93, 969, 313, 699?

You can find a detailed procedure to find GCD of 93, 969, 313, 699 on our page.

3. How to find GCD of 93, 969, 313, 699 on a calculator?

You can find the GCD of 93, 969, 313, 699 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.