GCD of 231, 343, 147, 369 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 231, 343, 147, 369 quickly. Get the easiest ways to solve the greatest common divisor of 231, 343, 147, 369 i.e 1 in different methods as follows.
Given Input numbers are 231, 343, 147, 369
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 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
Divisors of 147 :
The positive integer divisors of 147 that completely divides 147 are.
1, 3, 7, 21, 49, 147
Divisors of 369 :
The positive integer divisors of 369 that completely divides 369 are.
1, 3, 9, 41, 123, 369
GCD of numbers is the greatest common divisor
So, the GCD (231, 343, 147, 369) = 1.
Given numbers are 231, 343, 147, 369
The list of prime factors of all numbers are
Prime factors of 231 are 3 x 7 x 11
Prime factors of 343 are 7 x 7 x 7
Prime factors of 147 are 3 x 7 x 7
Prime factors of 369 are 3 x 3 x 41
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 231, 343, 147, 369 using LCM Formula
Given numbers are 231, 343, 147, 369
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(231, 343) = 11319
GCD(231, 343) = ( 231 x 343 ) / 11319
= 231 / 343
= 231
Step2:
LCM(7, 147) = 147
GCD(7, 147) = ( 7 x 147 ) / 147
= 7 / 147
= 7
Step3:
LCM(7, 369) = 2583
GCD(7, 369) = ( 7 x 369 ) / 2583
= 7 / 369
= 7
So, Greatest Common Divisor of 231, 343, 147, 369 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 231, 343, 147, 369
Given numbers are 231, 343, 147, 369
The greatest common divisor of numbers 231, 343, 147, 369 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 343, 147, 369 is 1.
FAQs on GCD of 231, 343, 147, 369 Calculator
1. What is the GCD of 231, 343, 147, 369?
GCD of given numbers 231, 343, 147, 369 is 1
2. How to calculate the greatest common divisor of 231, 343, 147, 369?
We can find the highest common divisor of 231, 343, 147, 369 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, 343, 147, 369 i.e 1.
3. How can I use the GCD of 231, 343, 147, 369Calculator?
Out the numbers 231, 343, 147, 369 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.