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GCD of 261, 237, 231, 172 Calculator

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


Online GCD Calculator is useful to find the GCD of 261, 237, 231, 172 quickly. Get the easiest ways to solve the greatest common divisor of 261, 237, 231, 172 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 261, 237, 231, 172 with Factoring?

Given Input numbers are 261, 237, 231, 172

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

Divisors of 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

Divisors of 237 :

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

1, 3, 79, 237

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172


GCD of numbers is the greatest common divisor

So, the GCD (261, 237, 231, 172) = 1.

Find GCD of 261, 237, 231, 172 using Prime Factorization

Given numbers are 261, 237, 231, 172

The list of prime factors of all numbers are

Prime factors of 261 are 3 x 3 x 29

Prime factors of 237 are 3 x 79

Prime factors of 231 are 3 x 7 x 11

Prime factors of 172 are 2 x 2 x 43

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

Steps to Calculate GCD of 261, 237, 231, 172 using LCM Formula

Given numbers are 261, 237, 231, 172

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

Apply this formula for all numbers.

Step1:

LCM(261, 237) = 20619

GCD(261, 237) = ( 261 x 237 ) / 20619

= 261 / 237

= 261


Step2:

LCM(3, 231) = 231

GCD(3, 231) = ( 3 x 231 ) / 231

= 3 / 231

= 3


Step3:

LCM(3, 172) = 516

GCD(3, 172) = ( 3 x 172 ) / 516

= 3 / 172

= 3


So, Greatest Common Divisor of 261, 237, 231, 172 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 261, 237, 231, 172

Given numbers are 261, 237, 231, 172
The greatest common divisor of numbers 261, 237, 231, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 261, 237, 231, 172 is 1.

FAQs on GCD of 261, 237, 231, 172 Calculator

1. What is the GCD of 261, 237, 231, 172?

GCD of given numbers 261, 237, 231, 172 is 1


2. How to calculate the greatest common divisor of 261, 237, 231, 172?

We can find the highest common divisor of 261, 237, 231, 172 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 261, 237, 231, 172 i.e 1.


3. How can I use the GCD of 261, 237, 231, 172Calculator?

Out the numbers 261, 237, 231, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.