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GCD of 898, 311, 738 Calculator

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


Online GCD Calculator is useful to find the GCD of 898, 311, 738 quickly. Get the easiest ways to solve the greatest common divisor of 898, 311, 738 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 898, 311, 738 with Factoring?

Given Input numbers are 898, 311, 738

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

Divisors of 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

Divisors of 311 :

The positive integer divisors of 311 that completely divides 311 are.

1, 311

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738


GCD of numbers is the greatest common divisor

So, the GCD (898, 311, 738) = 1.

Find GCD of 898, 311, 738 using Prime Factorization

Given numbers are 898, 311, 738

The list of prime factors of all numbers are

Prime factors of 898 are 2 x 449

Prime factors of 311 are 311

Prime factors of 738 are 2 x 3 x 3 x 41

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

Steps to Calculate GCD of 898, 311, 738 using LCM Formula

Given numbers are 898, 311, 738

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

Apply this formula for all numbers.

Step1:

LCM(898, 311) = 279278

GCD(898, 311) = ( 898 x 311 ) / 279278

= 898 / 311

= 898


Step2:

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

= 1 / 738

= 1


So, Greatest Common Divisor of 898, 311, 738 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 898, 311, 738

Given numbers are 898, 311, 738
The greatest common divisor of numbers 898, 311, 738 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 898, 311, 738 is 1.

FAQs on GCD of 898, 311, 738 Calculator

1. What is the GCD of 898, 311, 738?

GCD of given numbers 898, 311, 738 is 1


2. How to calculate the greatest common divisor of 898, 311, 738?

We can find the highest common divisor of 898, 311, 738 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 898, 311, 738 i.e 1.


3. How can I use the GCD of 898, 311, 738Calculator?

Out the numbers 898, 311, 738 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.