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GCD of 327, 401, 998, 553 Calculator

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


Online GCD Calculator is useful to find the GCD of 327, 401, 998, 553 quickly. Get the easiest ways to solve the greatest common divisor of 327, 401, 998, 553 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 327, 401, 998, 553 with Factoring?

Given Input numbers are 327, 401, 998, 553

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

Divisors of 327 :

The positive integer divisors of 327 that completely divides 327 are.

1, 3, 109, 327

Divisors of 401 :

The positive integer divisors of 401 that completely divides 401 are.

1, 401

Divisors of 998 :

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

1, 2, 499, 998

Divisors of 553 :

The positive integer divisors of 553 that completely divides 553 are.

1, 7, 79, 553


GCD of numbers is the greatest common divisor

So, the GCD (327, 401, 998, 553) = 1.

Find GCD of 327, 401, 998, 553 using Prime Factorization

Given numbers are 327, 401, 998, 553

The list of prime factors of all numbers are

Prime factors of 327 are 3 x 109

Prime factors of 401 are 401

Prime factors of 998 are 2 x 499

Prime factors of 553 are 7 x 79

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

Steps to Calculate GCD of 327, 401, 998, 553 using LCM Formula

Given numbers are 327, 401, 998, 553

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

Apply this formula for all numbers.

Step1:

LCM(327, 401) = 131127

GCD(327, 401) = ( 327 x 401 ) / 131127

= 327 / 401

= 327


Step2:

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

= 1 / 998

= 1


Step3:

LCM(1, 553) = 553

GCD(1, 553) = ( 1 x 553 ) / 553

= 1 / 553

= 1


So, Greatest Common Divisor of 327, 401, 998, 553 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 327, 401, 998, 553

Given numbers are 327, 401, 998, 553
The greatest common divisor of numbers 327, 401, 998, 553 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 327, 401, 998, 553 is 1.

FAQs on GCD of 327, 401, 998, 553 Calculator

1. What is the GCD of 327, 401, 998, 553?

GCD of given numbers 327, 401, 998, 553 is 1


2. How to calculate the greatest common divisor of 327, 401, 998, 553?

We can find the highest common divisor of 327, 401, 998, 553 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 327, 401, 998, 553 i.e 1.


3. How can I use the GCD of 327, 401, 998, 553Calculator?

Out the numbers 327, 401, 998, 553 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.