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GCD of 345, 891, 145 Calculator

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


Online GCD Calculator is useful to find the GCD of 345, 891, 145 quickly. Get the easiest ways to solve the greatest common divisor of 345, 891, 145 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 345, 891, 145 with Factoring?

Given Input numbers are 345, 891, 145

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

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 891 :

The positive integer divisors of 891 that completely divides 891 are.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 145 :

The positive integer divisors of 145 that completely divides 145 are.

1, 5, 29, 145


GCD of numbers is the greatest common divisor

So, the GCD (345, 891, 145) = 1.

Find GCD of 345, 891, 145 using Prime Factorization

Given numbers are 345, 891, 145

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

Prime factors of 891 are 3 x 3 x 3 x 3 x 11

Prime factors of 145 are 5 x 29

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

Steps to Calculate GCD of 345, 891, 145 using LCM Formula

Given numbers are 345, 891, 145

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

Apply this formula for all numbers.

Step1:

LCM(345, 891) = 102465

GCD(345, 891) = ( 345 x 891 ) / 102465

= 345 / 891

= 345


Step2:

LCM(3, 145) = 435

GCD(3, 145) = ( 3 x 145 ) / 435

= 3 / 145

= 3


So, Greatest Common Divisor of 345, 891, 145 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 345, 891, 145

Given numbers are 345, 891, 145
The greatest common divisor of numbers 345, 891, 145 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 891, 145 is 1.

FAQs on GCD of 345, 891, 145 Calculator

1. What is the GCD of 345, 891, 145?

GCD of given numbers 345, 891, 145 is 1


2. How to calculate the greatest common divisor of 345, 891, 145?

We can find the highest common divisor of 345, 891, 145 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 345, 891, 145 i.e 1.


3. How can I use the GCD of 345, 891, 145Calculator?

Out the numbers 345, 891, 145 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.