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GCD of 328, 998, 175, 823 Calculator

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


Online GCD Calculator is useful to find the GCD of 328, 998, 175, 823 quickly. Get the easiest ways to solve the greatest common divisor of 328, 998, 175, 823 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 328, 998, 175, 823 with Factoring?

Given Input numbers are 328, 998, 175, 823

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

Divisors of 328 :

The positive integer divisors of 328 that completely divides 328 are.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 998 :

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

1, 2, 499, 998

Divisors of 175 :

The positive integer divisors of 175 that completely divides 175 are.

1, 5, 7, 25, 35, 175

Divisors of 823 :

The positive integer divisors of 823 that completely divides 823 are.

1, 823


GCD of numbers is the greatest common divisor

So, the GCD (328, 998, 175, 823) = 1.

Find GCD of 328, 998, 175, 823 using Prime Factorization

Given numbers are 328, 998, 175, 823

The list of prime factors of all numbers are

Prime factors of 328 are 2 x 2 x 2 x 41

Prime factors of 998 are 2 x 499

Prime factors of 175 are 5 x 5 x 7

Prime factors of 823 are 823

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

Steps to Calculate GCD of 328, 998, 175, 823 using LCM Formula

Given numbers are 328, 998, 175, 823

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

Apply this formula for all numbers.

Step1:

LCM(328, 998) = 163672

GCD(328, 998) = ( 328 x 998 ) / 163672

= 328 / 998

= 328


Step2:

LCM(2, 175) = 350

GCD(2, 175) = ( 2 x 175 ) / 350

= 2 / 175

= 2


Step3:

LCM(1, 823) = 823

GCD(1, 823) = ( 1 x 823 ) / 823

= 1 / 823

= 1


So, Greatest Common Divisor of 328, 998, 175, 823 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 328, 998, 175, 823

Given numbers are 328, 998, 175, 823
The greatest common divisor of numbers 328, 998, 175, 823 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 328, 998, 175, 823 is 1.

FAQs on GCD of 328, 998, 175, 823 Calculator

1. What is the GCD of 328, 998, 175, 823?

GCD of given numbers 328, 998, 175, 823 is 1


2. How to calculate the greatest common divisor of 328, 998, 175, 823?

We can find the highest common divisor of 328, 998, 175, 823 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 328, 998, 175, 823 i.e 1.


3. How can I use the GCD of 328, 998, 175, 823Calculator?

Out the numbers 328, 998, 175, 823 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.