Online GCD Calculator is useful to find the GCD of 231, 849, 570, 343 quickly. Get the easiest ways to solve the greatest common divisor of 231, 849, 570, 343 i.e 1 in different methods as follows.
Given Input numbers are 231, 849, 570, 343
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 849 :
The positive integer divisors of 849 that completely divides 849 are.
1, 3, 283, 849
Divisors of 570 :
The positive integer divisors of 570 that completely divides 570 are.
1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
Divisors of 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
GCD of numbers is the greatest common divisor
So, the GCD (231, 849, 570, 343) = 1.
Given numbers are 231, 849, 570, 343
The list of prime factors of all numbers are
Prime factors of 231 are 3 x 7 x 11
Prime factors of 849 are 3 x 283
Prime factors of 570 are 2 x 3 x 5 x 19
Prime factors of 343 are 7 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 231, 849, 570, 343
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(231, 849) = 65373
GCD(231, 849) = ( 231 x 849 ) / 65373
= 231 / 849
= 231
Step2:
LCM(3, 570) = 570
GCD(3, 570) = ( 3 x 570 ) / 570
= 3 / 570
= 3
Step3:
LCM(3, 343) = 1029
GCD(3, 343) = ( 3 x 343 ) / 1029
= 3 / 343
= 3
So, Greatest Common Divisor of 231, 849, 570, 343 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 231, 849, 570, 343
The greatest common divisor of numbers 231, 849, 570, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 849, 570, 343 is 1.
1. What is the GCD of 231, 849, 570, 343?
GCD of given numbers 231, 849, 570, 343 is 1
2. How to calculate the greatest common divisor of 231, 849, 570, 343?
We can find the highest common divisor of 231, 849, 570, 343 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, 849, 570, 343 i.e 1.
3. How can I use the GCD of 231, 849, 570, 343Calculator?
Out the numbers 231, 849, 570, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.