GCD of 993, 756, 702, 901 Calculator

Given Input numbers are 993, 756, 702, 901

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 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Greatest Common Divisior

We found the divisors of 993, 756, 702, 901 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 993, 756, 702, 901 is 1.

Therefore, GCD of numbers 993, 756, 702, 901 is 1

Given Input Data is 993, 756, 702, 901

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

Prime Factorization of 993 is 3 x 331

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

Prime Factorization of 901 is 17 x 53

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, 756) = 250236

GCD(993, 756) = ( 993 x 756 ) / 250236

GCD(993, 756) = 750708 / 250236

GCD(993, 756) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 702

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

LCM(3, 702) = 702

GCD(3, 702) = ( 3 x 702 ) / 702

GCD(3, 702) = 2106 / 702

GCD(3, 702) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 901

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

LCM(3, 901) = 2703

GCD(3, 901) = ( 3 x 901 ) / 2703

GCD(3, 901) = 2703 / 2703

GCD(3, 901) = 1

GCD of 993, 756, 702, 901 is 1

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1. What is the GCD of 993, 756, 702, 901?

GCD of 993, 756, 702, 901 is 1

2. Where do I get the detailed procedure to find GCD of 993, 756, 702, 901?

You can find a detailed procedure to find GCD of 993, 756, 702, 901 on our page.

3. How to find GCD of 993, 756, 702, 901 on a calculator?

You can find the GCD of 993, 756, 702, 901 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.