GCD of 354, 894, 231 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 354, 894, 231 quickly. Get the easiest ways to solve the greatest common divisor of 354, 894, 231 i.e 3 in different methods as follows.
Given Input numbers are 354, 894, 231
In the factoring method, we have to find the divisors of all numbers
Divisors of 354 :
The positive integer divisors of 354 that completely divides 354 are.
1, 2, 3, 6, 59, 118, 177, 354
Divisors of 894 :
The positive integer divisors of 894 that completely divides 894 are.
1, 2, 3, 6, 149, 298, 447, 894
Divisors of 231 :
The positive integer divisors of 231 that completely divides 231 are.
1, 3, 7, 11, 21, 33, 77, 231
GCD of numbers is the greatest common divisor
So, the GCD (354, 894, 231) = 3.
Given numbers are 354, 894, 231
The list of prime factors of all numbers are
Prime factors of 354 are 2 x 3 x 59
Prime factors of 894 are 2 x 3 x 149
Prime factors of 231 are 3 x 7 x 11
The highest common occurrence is 31
Therefore, GCD of 354, 894, 231 is 3.
Steps to Calculate GCD of 354, 894, 231 using LCM Formula
Given numbers are 354, 894, 231
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(354, 894) = 52746
GCD(354, 894) = ( 354 x 894 ) / 52746
= 354 / 894
= 354
Step2:
LCM(6, 231) = 462
GCD(6, 231) = ( 6 x 231 ) / 462
= 6 / 231
= 6
So, Greatest Common Divisor of 354, 894, 231 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 354, 894, 231
Given numbers are 354, 894, 231
The greatest common divisor of numbers 354, 894, 231 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 894, 231 is 3.
FAQs on GCD of 354, 894, 231 Calculator
1. What is the GCD of 354, 894, 231?
GCD of given numbers 354, 894, 231 is 3
2. How to calculate the greatest common divisor of 354, 894, 231?
We can find the highest common divisor of 354, 894, 231 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 354, 894, 231 i.e 3.
3. How can I use the GCD of 354, 894, 231Calculator?
Out the numbers 354, 894, 231 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.