Online GCD Calculator is useful to find the GCD of 231, 331, 586, 735 quickly. Get the easiest ways to solve the greatest common divisor of 231, 331, 586, 735 i.e 1 in different methods as follows.
Given Input numbers are 231, 331, 586, 735
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 331 :
The positive integer divisors of 331 that completely divides 331 are.
1, 331
Divisors of 586 :
The positive integer divisors of 586 that completely divides 586 are.
1, 2, 293, 586
Divisors of 735 :
The positive integer divisors of 735 that completely divides 735 are.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
GCD of numbers is the greatest common divisor
So, the GCD (231, 331, 586, 735) = 1.
Given numbers are 231, 331, 586, 735
The list of prime factors of all numbers are
Prime factors of 231 are 3 x 7 x 11
Prime factors of 331 are 331
Prime factors of 586 are 2 x 293
Prime factors of 735 are 3 x 5 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 231, 331, 586, 735
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(231, 331) = 76461
GCD(231, 331) = ( 231 x 331 ) / 76461
= 231 / 331
= 231
Step2:
LCM(1, 586) = 586
GCD(1, 586) = ( 1 x 586 ) / 586
= 1 / 586
= 1
Step3:
LCM(1, 735) = 735
GCD(1, 735) = ( 1 x 735 ) / 735
= 1 / 735
= 1
So, Greatest Common Divisor of 231, 331, 586, 735 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 231, 331, 586, 735
The greatest common divisor of numbers 231, 331, 586, 735 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 331, 586, 735 is 1.
1. What is the GCD of 231, 331, 586, 735?
GCD of given numbers 231, 331, 586, 735 is 1
2. How to calculate the greatest common divisor of 231, 331, 586, 735?
We can find the highest common divisor of 231, 331, 586, 735 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, 331, 586, 735 i.e 1.
3. How can I use the GCD of 231, 331, 586, 735Calculator?
Out the numbers 231, 331, 586, 735 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.