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GCD of 231, 744, 143, 511 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, 744, 143, 511 quickly. Get the easiest ways to solve the greatest common divisor of 231, 744, 143, 511 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 231, 744, 143, 511 with Factoring?

Given Input numbers are 231, 744, 143, 511

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 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 143 :

The positive integer divisors of 143 that completely divides 143 are.

1, 11, 13, 143

Divisors of 511 :

The positive integer divisors of 511 that completely divides 511 are.

1, 7, 73, 511


GCD of numbers is the greatest common divisor

So, the GCD (231, 744, 143, 511) = 1.

Find GCD of 231, 744, 143, 511 using Prime Factorization

Given numbers are 231, 744, 143, 511

The list of prime factors of all numbers are

Prime factors of 231 are 3 x 7 x 11

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

Prime factors of 143 are 11 x 13

Prime factors of 511 are 7 x 73

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

Steps to Calculate GCD of 231, 744, 143, 511 using LCM Formula

Given numbers are 231, 744, 143, 511

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

Apply this formula for all numbers.

Step1:

LCM(231, 744) = 57288

GCD(231, 744) = ( 231 x 744 ) / 57288

= 231 / 744

= 231


Step2:

LCM(3, 143) = 429

GCD(3, 143) = ( 3 x 143 ) / 429

= 3 / 143

= 3


Step3:

LCM(1, 511) = 511

GCD(1, 511) = ( 1 x 511 ) / 511

= 1 / 511

= 1


So, Greatest Common Divisor of 231, 744, 143, 511 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 231, 744, 143, 511

Given numbers are 231, 744, 143, 511
The greatest common divisor of numbers 231, 744, 143, 511 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 744, 143, 511 is 1.

FAQs on GCD of 231, 744, 143, 511 Calculator

1. What is the GCD of 231, 744, 143, 511?

GCD of given numbers 231, 744, 143, 511 is 1


2. How to calculate the greatest common divisor of 231, 744, 143, 511?

We can find the highest common divisor of 231, 744, 143, 511 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, 744, 143, 511 i.e 1.


3. How can I use the GCD of 231, 744, 143, 511Calculator?

Out the numbers 231, 744, 143, 511 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.