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GCD of 398, 527, 655, 493 Calculator

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


Online GCD Calculator is useful to find the GCD of 398, 527, 655, 493 quickly. Get the easiest ways to solve the greatest common divisor of 398, 527, 655, 493 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 398, 527, 655, 493 with Factoring?

Given Input numbers are 398, 527, 655, 493

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

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 527 :

The positive integer divisors of 527 that completely divides 527 are.

1, 17, 31, 527

Divisors of 655 :

The positive integer divisors of 655 that completely divides 655 are.

1, 5, 131, 655

Divisors of 493 :

The positive integer divisors of 493 that completely divides 493 are.

1, 17, 29, 493


GCD of numbers is the greatest common divisor

So, the GCD (398, 527, 655, 493) = 1.

Find GCD of 398, 527, 655, 493 using Prime Factorization

Given numbers are 398, 527, 655, 493

The list of prime factors of all numbers are

Prime factors of 398 are 2 x 199

Prime factors of 527 are 17 x 31

Prime factors of 655 are 5 x 131

Prime factors of 493 are 17 x 29

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

Steps to Calculate GCD of 398, 527, 655, 493 using LCM Formula

Given numbers are 398, 527, 655, 493

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

Apply this formula for all numbers.

Step1:

LCM(398, 527) = 209746

GCD(398, 527) = ( 398 x 527 ) / 209746

= 398 / 527

= 398


Step2:

LCM(1, 655) = 655

GCD(1, 655) = ( 1 x 655 ) / 655

= 1 / 655

= 1


Step3:

LCM(1, 493) = 493

GCD(1, 493) = ( 1 x 493 ) / 493

= 1 / 493

= 1


So, Greatest Common Divisor of 398, 527, 655, 493 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 398, 527, 655, 493

Given numbers are 398, 527, 655, 493
The greatest common divisor of numbers 398, 527, 655, 493 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 527, 655, 493 is 1.

FAQs on GCD of 398, 527, 655, 493 Calculator

1. What is the GCD of 398, 527, 655, 493?

GCD of given numbers 398, 527, 655, 493 is 1


2. How to calculate the greatest common divisor of 398, 527, 655, 493?

We can find the highest common divisor of 398, 527, 655, 493 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 398, 527, 655, 493 i.e 1.


3. How can I use the GCD of 398, 527, 655, 493Calculator?

Out the numbers 398, 527, 655, 493 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.