GCD of 993, 362, 105, 979 Calculator

Given Input numbers are 993, 362, 105, 979

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

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 979

List of positive integer divisors of 979 that divides 979 without a remainder.

1, 11, 89, 979

Greatest Common Divisior

We found the divisors of 993, 362, 105, 979 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 993, 362, 105, 979 is 1.

Therefore, GCD of numbers 993, 362, 105, 979 is 1

Given Input Data is 993, 362, 105, 979

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

Prime Factorization of 993 is 3 x 331

Prime Factorization of 362 is 2 x 181

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 979 is 11 x 89

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(993, 362) = 359466

GCD(993, 362) = ( 993 x 362 ) / 359466

GCD(993, 362) = 359466 / 359466

GCD(993, 362) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 105

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

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

GCD(1, 105) = 105 / 105

GCD(1, 105) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 979

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

LCM(1, 979) = 979

GCD(1, 979) = ( 1 x 979 ) / 979

GCD(1, 979) = 979 / 979

GCD(1, 979) = 1

GCD of 993, 362, 105, 979 is 1

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1. What is the GCD of 993, 362, 105, 979?

GCD of 993, 362, 105, 979 is 1

2. Where do I get the detailed procedure to find GCD of 993, 362, 105, 979?

You can find a detailed procedure to find GCD of 993, 362, 105, 979 on our page.

3. How to find GCD of 993, 362, 105, 979 on a calculator?

You can find the GCD of 993, 362, 105, 979 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.