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GCD of 369, 468, 898, 614 Calculator

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


Online GCD Calculator is useful to find the GCD of 369, 468, 898, 614 quickly. Get the easiest ways to solve the greatest common divisor of 369, 468, 898, 614 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 369, 468, 898, 614 with Factoring?

Given Input numbers are 369, 468, 898, 614

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

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 898 :

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

1, 2, 449, 898

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614


GCD of numbers is the greatest common divisor

So, the GCD (369, 468, 898, 614) = 1.

Find GCD of 369, 468, 898, 614 using Prime Factorization

Given numbers are 369, 468, 898, 614

The list of prime factors of all numbers are

Prime factors of 369 are 3 x 3 x 41

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

Prime factors of 898 are 2 x 449

Prime factors of 614 are 2 x 307

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

Steps to Calculate GCD of 369, 468, 898, 614 using LCM Formula

Given numbers are 369, 468, 898, 614

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

Apply this formula for all numbers.

Step1:

LCM(369, 468) = 19188

GCD(369, 468) = ( 369 x 468 ) / 19188

= 369 / 468

= 369


Step2:

LCM(9, 898) = 8082

GCD(9, 898) = ( 9 x 898 ) / 8082

= 9 / 898

= 9


Step3:

LCM(1, 614) = 614

GCD(1, 614) = ( 1 x 614 ) / 614

= 1 / 614

= 1


So, Greatest Common Divisor of 369, 468, 898, 614 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 369, 468, 898, 614

Given numbers are 369, 468, 898, 614
The greatest common divisor of numbers 369, 468, 898, 614 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 369, 468, 898, 614 is 1.

FAQs on GCD of 369, 468, 898, 614 Calculator

1. What is the GCD of 369, 468, 898, 614?

GCD of given numbers 369, 468, 898, 614 is 1


2. How to calculate the greatest common divisor of 369, 468, 898, 614?

We can find the highest common divisor of 369, 468, 898, 614 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 369, 468, 898, 614 i.e 1.


3. How can I use the GCD of 369, 468, 898, 614Calculator?

Out the numbers 369, 468, 898, 614 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.