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GCD of 231, 689, 272, 141 Calculator

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


Online GCD Calculator is useful to find the GCD of 231, 689, 272, 141 quickly. Get the easiest ways to solve the greatest common divisor of 231, 689, 272, 141 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 231, 689, 272, 141 with Factoring?

Given Input numbers are 231, 689, 272, 141

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

Divisors of 231 :

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

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

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 141 :

The positive integer divisors of 141 that completely divides 141 are.

1, 3, 47, 141


GCD of numbers is the greatest common divisor

So, the GCD (231, 689, 272, 141) = 1.

Find GCD of 231, 689, 272, 141 using Prime Factorization

Given numbers are 231, 689, 272, 141

The list of prime factors of all numbers are

Prime factors of 231 are 3 x 7 x 11

Prime factors of 689 are 13 x 53

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 141 are 3 x 47

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

Steps to Calculate GCD of 231, 689, 272, 141 using LCM Formula

Given numbers are 231, 689, 272, 141

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

Apply this formula for all numbers.

Step1:

LCM(231, 689) = 159159

GCD(231, 689) = ( 231 x 689 ) / 159159

= 231 / 689

= 231


Step2:

LCM(1, 272) = 272

GCD(1, 272) = ( 1 x 272 ) / 272

= 1 / 272

= 1


Step3:

LCM(1, 141) = 141

GCD(1, 141) = ( 1 x 141 ) / 141

= 1 / 141

= 1


So, Greatest Common Divisor of 231, 689, 272, 141 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 231, 689, 272, 141

Given numbers are 231, 689, 272, 141
The greatest common divisor of numbers 231, 689, 272, 141 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 689, 272, 141 is 1.

FAQs on GCD of 231, 689, 272, 141 Calculator

1. What is the GCD of 231, 689, 272, 141?

GCD of given numbers 231, 689, 272, 141 is 1


2. How to calculate the greatest common divisor of 231, 689, 272, 141?

We can find the highest common divisor of 231, 689, 272, 141 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 231, 689, 272, 141 i.e 1.


3. How can I use the GCD of 231, 689, 272, 141Calculator?

Out the numbers 231, 689, 272, 141 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.