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GCD of 237, 963, 345 Calculator

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


Online GCD Calculator is useful to find the GCD of 237, 963, 345 quickly. Get the easiest ways to solve the greatest common divisor of 237, 963, 345 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 237, 963, 345 with Factoring?

Given Input numbers are 237, 963, 345

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

Divisors of 237 :

The positive integer divisors of 237 that completely divides 237 are.

1, 3, 79, 237

Divisors of 963 :

The positive integer divisors of 963 that completely divides 963 are.

1, 3, 9, 107, 321, 963

Divisors of 345 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (237, 963, 345) = 3.

Find GCD of 237, 963, 345 using Prime Factorization

Given numbers are 237, 963, 345

The list of prime factors of all numbers are

Prime factors of 237 are 3 x 79

Prime factors of 963 are 3 x 3 x 107

Prime factors of 345 are 3 x 5 x 23

The highest common occurrence is 31

Therefore, GCD of 237, 963, 345 is 3.

Steps to Calculate GCD of 237, 963, 345 using LCM Formula

Given numbers are 237, 963, 345

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

Apply this formula for all numbers.

Step1:

LCM(237, 963) = 76077

GCD(237, 963) = ( 237 x 963 ) / 76077

= 237 / 963

= 237


Step2:

LCM(3, 345) = 345

GCD(3, 345) = ( 3 x 345 ) / 345

= 3 / 345

= 3


So, Greatest Common Divisor of 237, 963, 345 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 237, 963, 345

Given numbers are 237, 963, 345
The greatest common divisor of numbers 237, 963, 345 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 237, 963, 345 is 3.

FAQs on GCD of 237, 963, 345 Calculator

1. What is the GCD of 237, 963, 345?

GCD of given numbers 237, 963, 345 is 3


2. How to calculate the greatest common divisor of 237, 963, 345?

We can find the highest common divisor of 237, 963, 345 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 237, 963, 345 i.e 3.


3. How can I use the GCD of 237, 963, 345Calculator?

Out the numbers 237, 963, 345 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.