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GCD of 299, 364, 353, 846 Calculator

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


Online GCD Calculator is useful to find the GCD of 299, 364, 353, 846 quickly. Get the easiest ways to solve the greatest common divisor of 299, 364, 353, 846 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 299, 364, 353, 846 with Factoring?

Given Input numbers are 299, 364, 353, 846

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

Divisors of 299 :

The positive integer divisors of 299 that completely divides 299 are.

1, 13, 23, 299

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 353 :

The positive integer divisors of 353 that completely divides 353 are.

1, 353

Divisors of 846 :

The positive integer divisors of 846 that completely divides 846 are.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846


GCD of numbers is the greatest common divisor

So, the GCD (299, 364, 353, 846) = 1.

Find GCD of 299, 364, 353, 846 using Prime Factorization

Given numbers are 299, 364, 353, 846

The list of prime factors of all numbers are

Prime factors of 299 are 13 x 23

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 353 are 353

Prime factors of 846 are 2 x 3 x 3 x 47

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

Steps to Calculate GCD of 299, 364, 353, 846 using LCM Formula

Given numbers are 299, 364, 353, 846

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

Apply this formula for all numbers.

Step1:

LCM(299, 364) = 8372

GCD(299, 364) = ( 299 x 364 ) / 8372

= 299 / 364

= 299


Step2:

LCM(13, 353) = 4589

GCD(13, 353) = ( 13 x 353 ) / 4589

= 13 / 353

= 13


Step3:

LCM(1, 846) = 846

GCD(1, 846) = ( 1 x 846 ) / 846

= 1 / 846

= 1


So, Greatest Common Divisor of 299, 364, 353, 846 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 299, 364, 353, 846

Given numbers are 299, 364, 353, 846
The greatest common divisor of numbers 299, 364, 353, 846 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 299, 364, 353, 846 is 1.

FAQs on GCD of 299, 364, 353, 846 Calculator

1. What is the GCD of 299, 364, 353, 846?

GCD of given numbers 299, 364, 353, 846 is 1


2. How to calculate the greatest common divisor of 299, 364, 353, 846?

We can find the highest common divisor of 299, 364, 353, 846 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 299, 364, 353, 846 i.e 1.


3. How can I use the GCD of 299, 364, 353, 846Calculator?

Out the numbers 299, 364, 353, 846 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.