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GCD of 231, 861, 678, 341 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, 861, 678, 341 quickly. Get the easiest ways to solve the greatest common divisor of 231, 861, 678, 341 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 231, 861, 678, 341 with Factoring?

Given Input numbers are 231, 861, 678, 341

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 861 :

The positive integer divisors of 861 that completely divides 861 are.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 341 :

The positive integer divisors of 341 that completely divides 341 are.

1, 11, 31, 341


GCD of numbers is the greatest common divisor

So, the GCD (231, 861, 678, 341) = 1.

Find GCD of 231, 861, 678, 341 using Prime Factorization

Given numbers are 231, 861, 678, 341

The list of prime factors of all numbers are

Prime factors of 231 are 3 x 7 x 11

Prime factors of 861 are 3 x 7 x 41

Prime factors of 678 are 2 x 3 x 113

Prime factors of 341 are 11 x 31

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

Steps to Calculate GCD of 231, 861, 678, 341 using LCM Formula

Given numbers are 231, 861, 678, 341

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

Apply this formula for all numbers.

Step1:

LCM(231, 861) = 9471

GCD(231, 861) = ( 231 x 861 ) / 9471

= 231 / 861

= 231


Step2:

LCM(21, 678) = 4746

GCD(21, 678) = ( 21 x 678 ) / 4746

= 21 / 678

= 21


Step3:

LCM(3, 341) = 1023

GCD(3, 341) = ( 3 x 341 ) / 1023

= 3 / 341

= 3


So, Greatest Common Divisor of 231, 861, 678, 341 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 231, 861, 678, 341

Given numbers are 231, 861, 678, 341
The greatest common divisor of numbers 231, 861, 678, 341 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 861, 678, 341 is 1.

FAQs on GCD of 231, 861, 678, 341 Calculator

1. What is the GCD of 231, 861, 678, 341?

GCD of given numbers 231, 861, 678, 341 is 1


2. How to calculate the greatest common divisor of 231, 861, 678, 341?

We can find the highest common divisor of 231, 861, 678, 341 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, 861, 678, 341 i.e 1.


3. How can I use the GCD of 231, 861, 678, 341Calculator?

Out the numbers 231, 861, 678, 341 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.