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GCD of 705, 237, 393, 129 Calculator

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


Online GCD Calculator is useful to find the GCD of 705, 237, 393, 129 quickly. Get the easiest ways to solve the greatest common divisor of 705, 237, 393, 129 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 705, 237, 393, 129 with Factoring?

Given Input numbers are 705, 237, 393, 129

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

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 237 :

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

1, 3, 79, 237

Divisors of 393 :

The positive integer divisors of 393 that completely divides 393 are.

1, 3, 131, 393

Divisors of 129 :

The positive integer divisors of 129 that completely divides 129 are.

1, 3, 43, 129


GCD of numbers is the greatest common divisor

So, the GCD (705, 237, 393, 129) = 3.

Find GCD of 705, 237, 393, 129 using Prime Factorization

Given numbers are 705, 237, 393, 129

The list of prime factors of all numbers are

Prime factors of 705 are 3 x 5 x 47

Prime factors of 237 are 3 x 79

Prime factors of 393 are 3 x 131

Prime factors of 129 are 3 x 43

The highest common occurrence is 31

Therefore, GCD of 705, 237, 393, 129 is 3.

Steps to Calculate GCD of 705, 237, 393, 129 using LCM Formula

Given numbers are 705, 237, 393, 129

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

Apply this formula for all numbers.

Step1:

LCM(705, 237) = 55695

GCD(705, 237) = ( 705 x 237 ) / 55695

= 705 / 237

= 705


Step2:

LCM(3, 393) = 393

GCD(3, 393) = ( 3 x 393 ) / 393

= 3 / 393

= 3


Step3:

LCM(3, 129) = 129

GCD(3, 129) = ( 3 x 129 ) / 129

= 3 / 129

= 3


So, Greatest Common Divisor of 705, 237, 393, 129 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 705, 237, 393, 129

Given numbers are 705, 237, 393, 129
The greatest common divisor of numbers 705, 237, 393, 129 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 237, 393, 129 is 3.

FAQs on GCD of 705, 237, 393, 129 Calculator

1. What is the GCD of 705, 237, 393, 129?

GCD of given numbers 705, 237, 393, 129 is 3


2. How to calculate the greatest common divisor of 705, 237, 393, 129?

We can find the highest common divisor of 705, 237, 393, 129 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 705, 237, 393, 129 i.e 3.


3. How can I use the GCD of 705, 237, 393, 129Calculator?

Out the numbers 705, 237, 393, 129 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.