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GCD of 845, 663, 741 Calculator

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


Online GCD Calculator is useful to find the GCD of 845, 663, 741 quickly. Get the easiest ways to solve the greatest common divisor of 845, 663, 741 i.e 13 in different methods as follows.

GCD of

How to Find GCD of Numbers 845, 663, 741 with Factoring?

Given Input numbers are 845, 663, 741

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

Divisors of 845 :

The positive integer divisors of 845 that completely divides 845 are.

1, 5, 13, 65, 169, 845

Divisors of 663 :

The positive integer divisors of 663 that completely divides 663 are.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 741 :

The positive integer divisors of 741 that completely divides 741 are.

1, 3, 13, 19, 39, 57, 247, 741


GCD of numbers is the greatest common divisor

So, the GCD (845, 663, 741) = 13.

Find GCD of 845, 663, 741 using Prime Factorization

Given numbers are 845, 663, 741

The list of prime factors of all numbers are

Prime factors of 845 are 5 x 13 x 13

Prime factors of 663 are 3 x 13 x 17

Prime factors of 741 are 3 x 13 x 19

The highest common occurrence is 131

Therefore, GCD of 845, 663, 741 is 13.

Steps to Calculate GCD of 845, 663, 741 using LCM Formula

Given numbers are 845, 663, 741

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

Apply this formula for all numbers.

Step1:

LCM(845, 663) = 43095

GCD(845, 663) = ( 845 x 663 ) / 43095

= 845 / 663

= 845


Step2:

LCM(13, 741) = 741

GCD(13, 741) = ( 13 x 741 ) / 741

= 13 / 741

= 13


So, Greatest Common Divisor of 845, 663, 741 is 13

GCD of Numbers Calculation Examples

Greatest Common Divisor of 845, 663, 741

Given numbers are 845, 663, 741
The greatest common divisor of numbers 845, 663, 741 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 845, 663, 741 is 13.

FAQs on GCD of 845, 663, 741 Calculator

1. What is the GCD of 845, 663, 741?

GCD of given numbers 845, 663, 741 is 13


2. How to calculate the greatest common divisor of 845, 663, 741?

We can find the highest common divisor of 845, 663, 741 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 845, 663, 741 i.e 13.


3. How can I use the GCD of 845, 663, 741Calculator?

Out the numbers 845, 663, 741 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.