GCD of 945, 408, 231 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 945, 408, 231 quickly. Get the easiest ways to solve the greatest common divisor of 945, 408, 231 i.e 3 in different methods as follows.
Given Input numbers are 945, 408, 231
In the factoring method, we have to find the divisors of all numbers
Divisors of 945 :
The positive integer divisors of 945 that completely divides 945 are.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
Divisors of 408 :
The positive integer divisors of 408 that completely divides 408 are.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
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 (945, 408, 231) = 3.
Given numbers are 945, 408, 231
The list of prime factors of all numbers are
Prime factors of 945 are 3 x 3 x 3 x 5 x 7
Prime factors of 408 are 2 x 2 x 2 x 3 x 17
Prime factors of 231 are 3 x 7 x 11
The highest common occurrence is 31
Therefore, GCD of 945, 408, 231 is 3.
Steps to Calculate GCD of 945, 408, 231 using LCM Formula
Given numbers are 945, 408, 231
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(945, 408) = 128520
GCD(945, 408) = ( 945 x 408 ) / 128520
= 945 / 408
= 945
Step2:
LCM(3, 231) = 231
GCD(3, 231) = ( 3 x 231 ) / 231
= 3 / 231
= 3
So, Greatest Common Divisor of 945, 408, 231 is 3
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 945, 408, 231
Given numbers are 945, 408, 231
The greatest common divisor of numbers 945, 408, 231 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 945, 408, 231 is 3.
FAQs on GCD of 945, 408, 231 Calculator
1. What is the GCD of 945, 408, 231?
GCD of given numbers 945, 408, 231 is 3
2. How to calculate the greatest common divisor of 945, 408, 231?
We can find the highest common divisor of 945, 408, 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 945, 408, 231 i.e 3.
3. How can I use the GCD of 945, 408, 231Calculator?
Out the numbers 945, 408, 231 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.