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GCD of 993, 774, 706, 973 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 993, 774, 706, 973 quickly. Get the easiest ways to solve the greatest common divisor of 993, 774, 706, 973 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 993, 774, 706, 973 with Factoring?

Given Input numbers are 993, 774, 706, 973

In the factoring method, we have to find the divisors of all numbers

Divisors of 993 :

The positive integer divisors of 993 that completely divides 993 are.

1, 3, 331, 993

Divisors of 774 :

The positive integer divisors of 774 that completely divides 774 are.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 706 :

The positive integer divisors of 706 that completely divides 706 are.

1, 2, 353, 706

Divisors of 973 :

The positive integer divisors of 973 that completely divides 973 are.

1, 7, 139, 973


GCD of numbers is the greatest common divisor

So, the GCD (993, 774, 706, 973) = 1.

Find GCD of 993, 774, 706, 973 using Prime Factorization

Given numbers are 993, 774, 706, 973

The list of prime factors of all numbers are

Prime factors of 993 are 3 x 331

Prime factors of 774 are 2 x 3 x 3 x 43

Prime factors of 706 are 2 x 353

Prime factors of 973 are 7 x 139

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 993, 774, 706, 973 using LCM Formula

Given numbers are 993, 774, 706, 973

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(993, 774) = 256194

GCD(993, 774) = ( 993 x 774 ) / 256194

= 993 / 774

= 993


Step2:

LCM(3, 706) = 2118

GCD(3, 706) = ( 3 x 706 ) / 2118

= 3 / 706

= 3


Step3:

LCM(1, 973) = 973

GCD(1, 973) = ( 1 x 973 ) / 973

= 1 / 973

= 1


So, Greatest Common Divisor of 993, 774, 706, 973 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 993, 774, 706, 973

Given numbers are 993, 774, 706, 973
The greatest common divisor of numbers 993, 774, 706, 973 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 993, 774, 706, 973 is 1.

FAQs on GCD of 993, 774, 706, 973 Calculator

1. What is the GCD of 993, 774, 706, 973?

GCD of given numbers 993, 774, 706, 973 is 1


2. How to calculate the greatest common divisor of 993, 774, 706, 973?

We can find the highest common divisor of 993, 774, 706, 973 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 993, 774, 706, 973 i.e 1.


3. How can I use the GCD of 993, 774, 706, 973Calculator?

Out the numbers 993, 774, 706, 973 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.