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GCD of 993, 360, 223, 797 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, 360, 223, 797 quickly. Get the easiest ways to solve the greatest common divisor of 993, 360, 223, 797 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 993, 360, 223, 797 with Factoring?

Given Input numbers are 993, 360, 223, 797

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 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 223 :

The positive integer divisors of 223 that completely divides 223 are.

1, 223

Divisors of 797 :

The positive integer divisors of 797 that completely divides 797 are.

1, 797


GCD of numbers is the greatest common divisor

So, the GCD (993, 360, 223, 797) = 1.

Find GCD of 993, 360, 223, 797 using Prime Factorization

Given numbers are 993, 360, 223, 797

The list of prime factors of all numbers are

Prime factors of 993 are 3 x 331

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 223 are 223

Prime factors of 797 are 797

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

Steps to Calculate GCD of 993, 360, 223, 797 using LCM Formula

Given numbers are 993, 360, 223, 797

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

Apply this formula for all numbers.

Step1:

LCM(993, 360) = 119160

GCD(993, 360) = ( 993 x 360 ) / 119160

= 993 / 360

= 993


Step2:

LCM(3, 223) = 669

GCD(3, 223) = ( 3 x 223 ) / 669

= 3 / 223

= 3


Step3:

LCM(1, 797) = 797

GCD(1, 797) = ( 1 x 797 ) / 797

= 1 / 797

= 1


So, Greatest Common Divisor of 993, 360, 223, 797 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 993, 360, 223, 797

Given numbers are 993, 360, 223, 797
The greatest common divisor of numbers 993, 360, 223, 797 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 993, 360, 223, 797 is 1.

FAQs on GCD of 993, 360, 223, 797 Calculator

1. What is the GCD of 993, 360, 223, 797?

GCD of given numbers 993, 360, 223, 797 is 1


2. How to calculate the greatest common divisor of 993, 360, 223, 797?

We can find the highest common divisor of 993, 360, 223, 797 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, 360, 223, 797 i.e 1.


3. How can I use the GCD of 993, 360, 223, 797Calculator?

Out the numbers 993, 360, 223, 797 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.