Online GCD Calculator is useful to find the GCD of 961, 714, 231, 365 quickly. Get the easiest ways to solve the greatest common divisor of 961, 714, 231, 365 i.e 1 in different methods as follows.
Given Input numbers are 961, 714, 231, 365
In the factoring method, we have to find the divisors of all numbers
Divisors of 961 :
The positive integer divisors of 961 that completely divides 961 are.
1, 31, 961
Divisors of 714 :
The positive integer divisors of 714 that completely divides 714 are.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Divisors of 231 :
The positive integer divisors of 231 that completely divides 231 are.
1, 3, 7, 11, 21, 33, 77, 231
Divisors of 365 :
The positive integer divisors of 365 that completely divides 365 are.
1, 5, 73, 365
GCD of numbers is the greatest common divisor
So, the GCD (961, 714, 231, 365) = 1.
Given numbers are 961, 714, 231, 365
The list of prime factors of all numbers are
Prime factors of 961 are 31 x 31
Prime factors of 714 are 2 x 3 x 7 x 17
Prime factors of 231 are 3 x 7 x 11
Prime factors of 365 are 5 x 73
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 961, 714, 231, 365
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(961, 714) = 686154
GCD(961, 714) = ( 961 x 714 ) / 686154
= 961 / 714
= 961
Step2:
LCM(1, 231) = 231
GCD(1, 231) = ( 1 x 231 ) / 231
= 1 / 231
= 1
Step3:
LCM(1, 365) = 365
GCD(1, 365) = ( 1 x 365 ) / 365
= 1 / 365
= 1
So, Greatest Common Divisor of 961, 714, 231, 365 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 961, 714, 231, 365
The greatest common divisor of numbers 961, 714, 231, 365 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 961, 714, 231, 365 is 1.
1. What is the GCD of 961, 714, 231, 365?
GCD of given numbers 961, 714, 231, 365 is 1
2. How to calculate the greatest common divisor of 961, 714, 231, 365?
We can find the highest common divisor of 961, 714, 231, 365 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 961, 714, 231, 365 i.e 1.
3. How can I use the GCD of 961, 714, 231, 365Calculator?
Out the numbers 961, 714, 231, 365 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.