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GCD of 231, 988, 172, 823 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, 988, 172, 823 quickly. Get the easiest ways to solve the greatest common divisor of 231, 988, 172, 823 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 231, 988, 172, 823 with Factoring?

Given Input numbers are 231, 988, 172, 823

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 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 172 :

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

1, 2, 4, 43, 86, 172

Divisors of 823 :

The positive integer divisors of 823 that completely divides 823 are.

1, 823


GCD of numbers is the greatest common divisor

So, the GCD (231, 988, 172, 823) = 1.

Find GCD of 231, 988, 172, 823 using Prime Factorization

Given numbers are 231, 988, 172, 823

The list of prime factors of all numbers are

Prime factors of 231 are 3 x 7 x 11

Prime factors of 988 are 2 x 2 x 13 x 19

Prime factors of 172 are 2 x 2 x 43

Prime factors of 823 are 823

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

Steps to Calculate GCD of 231, 988, 172, 823 using LCM Formula

Given numbers are 231, 988, 172, 823

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

Apply this formula for all numbers.

Step1:

LCM(231, 988) = 228228

GCD(231, 988) = ( 231 x 988 ) / 228228

= 231 / 988

= 231


Step2:

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

= 1 / 172

= 1


Step3:

LCM(1, 823) = 823

GCD(1, 823) = ( 1 x 823 ) / 823

= 1 / 823

= 1


So, Greatest Common Divisor of 231, 988, 172, 823 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 231, 988, 172, 823

Given numbers are 231, 988, 172, 823
The greatest common divisor of numbers 231, 988, 172, 823 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 988, 172, 823 is 1.

FAQs on GCD of 231, 988, 172, 823 Calculator

1. What is the GCD of 231, 988, 172, 823?

GCD of given numbers 231, 988, 172, 823 is 1


2. How to calculate the greatest common divisor of 231, 988, 172, 823?

We can find the highest common divisor of 231, 988, 172, 823 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, 988, 172, 823 i.e 1.


3. How can I use the GCD of 231, 988, 172, 823Calculator?

Out the numbers 231, 988, 172, 823 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.