GCD of 231, 381, 65, 524 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 231, 381, 65, 524 quickly. Get the easiest ways to solve the greatest common divisor of 231, 381, 65, 524 i.e 1 in different methods as follows.
Given Input numbers are 231, 381, 65, 524
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 381 :
The positive integer divisors of 381 that completely divides 381 are.
1, 3, 127, 381
Divisors of 65 :
The positive integer divisors of 65 that completely divides 65 are.
1, 5, 13, 65
Divisors of 524 :
The positive integer divisors of 524 that completely divides 524 are.
1, 2, 4, 131, 262, 524
GCD of numbers is the greatest common divisor
So, the GCD (231, 381, 65, 524) = 1.
Given numbers are 231, 381, 65, 524
The list of prime factors of all numbers are
Prime factors of 231 are 3 x 7 x 11
Prime factors of 381 are 3 x 127
Prime factors of 65 are 5 x 13
Prime factors of 524 are 2 x 2 x 131
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 231, 381, 65, 524 using LCM Formula
Given numbers are 231, 381, 65, 524
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(231, 381) = 29337
GCD(231, 381) = ( 231 x 381 ) / 29337
= 231 / 381
= 231
Step2:
LCM(3, 65) = 195
GCD(3, 65) = ( 3 x 65 ) / 195
= 3 / 65
= 3
Step3:
LCM(1, 524) = 524
GCD(1, 524) = ( 1 x 524 ) / 524
= 1 / 524
= 1
So, Greatest Common Divisor of 231, 381, 65, 524 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 231, 381, 65, 524
Given numbers are 231, 381, 65, 524
The greatest common divisor of numbers 231, 381, 65, 524 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 381, 65, 524 is 1.
FAQs on GCD of 231, 381, 65, 524 Calculator
1. What is the GCD of 231, 381, 65, 524?
GCD of given numbers 231, 381, 65, 524 is 1
2. How to calculate the greatest common divisor of 231, 381, 65, 524?
We can find the highest common divisor of 231, 381, 65, 524 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, 381, 65, 524 i.e 1.
3. How can I use the GCD of 231, 381, 65, 524Calculator?
Out the numbers 231, 381, 65, 524 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.