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GCD of 298, 535, 13 Calculator

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


Online GCD Calculator is useful to find the GCD of 298, 535, 13 quickly. Get the easiest ways to solve the greatest common divisor of 298, 535, 13 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 298, 535, 13 with Factoring?

Given Input numbers are 298, 535, 13

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

Divisors of 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

Divisors of 535 :

The positive integer divisors of 535 that completely divides 535 are.

1, 5, 107, 535

Divisors of 13 :

The positive integer divisors of 13 that completely divides 13 are.

1, 13


GCD of numbers is the greatest common divisor

So, the GCD (298, 535, 13) = 1.

Find GCD of 298, 535, 13 using Prime Factorization

Given numbers are 298, 535, 13

The list of prime factors of all numbers are

Prime factors of 298 are 2 x 149

Prime factors of 535 are 5 x 107

Prime factors of 13 are 13

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

Steps to Calculate GCD of 298, 535, 13 using LCM Formula

Given numbers are 298, 535, 13

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

Apply this formula for all numbers.

Step1:

LCM(298, 535) = 159430

GCD(298, 535) = ( 298 x 535 ) / 159430

= 298 / 535

= 298


Step2:

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

= 1 / 13

= 1


So, Greatest Common Divisor of 298, 535, 13 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 298, 535, 13

Given numbers are 298, 535, 13
The greatest common divisor of numbers 298, 535, 13 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 298, 535, 13 is 1.

FAQs on GCD of 298, 535, 13 Calculator

1. What is the GCD of 298, 535, 13?

GCD of given numbers 298, 535, 13 is 1


2. How to calculate the greatest common divisor of 298, 535, 13?

We can find the highest common divisor of 298, 535, 13 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 298, 535, 13 i.e 1.


3. How can I use the GCD of 298, 535, 13Calculator?

Out the numbers 298, 535, 13 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.