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GCD of 663, 998, 825, 773 Calculator

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


Online GCD Calculator is useful to find the GCD of 663, 998, 825, 773 quickly. Get the easiest ways to solve the greatest common divisor of 663, 998, 825, 773 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 663, 998, 825, 773 with Factoring?

Given Input numbers are 663, 998, 825, 773

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

Divisors of 663 :

The positive integer divisors of 663 that completely divides 663 are.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 773 :

The positive integer divisors of 773 that completely divides 773 are.

1, 773


GCD of numbers is the greatest common divisor

So, the GCD (663, 998, 825, 773) = 1.

Find GCD of 663, 998, 825, 773 using Prime Factorization

Given numbers are 663, 998, 825, 773

The list of prime factors of all numbers are

Prime factors of 663 are 3 x 13 x 17

Prime factors of 998 are 2 x 499

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 773 are 773

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

Steps to Calculate GCD of 663, 998, 825, 773 using LCM Formula

Given numbers are 663, 998, 825, 773

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

Apply this formula for all numbers.

Step1:

LCM(663, 998) = 661674

GCD(663, 998) = ( 663 x 998 ) / 661674

= 663 / 998

= 663


Step2:

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

= 1 / 825

= 1


Step3:

LCM(1, 773) = 773

GCD(1, 773) = ( 1 x 773 ) / 773

= 1 / 773

= 1


So, Greatest Common Divisor of 663, 998, 825, 773 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 663, 998, 825, 773

Given numbers are 663, 998, 825, 773
The greatest common divisor of numbers 663, 998, 825, 773 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 663, 998, 825, 773 is 1.

FAQs on GCD of 663, 998, 825, 773 Calculator

1. What is the GCD of 663, 998, 825, 773?

GCD of given numbers 663, 998, 825, 773 is 1


2. How to calculate the greatest common divisor of 663, 998, 825, 773?

We can find the highest common divisor of 663, 998, 825, 773 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 663, 998, 825, 773 i.e 1.


3. How can I use the GCD of 663, 998, 825, 773Calculator?

Out the numbers 663, 998, 825, 773 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.