Online GCD Calculator is useful to find the GCD of 658, 960, 956, 361 quickly. Get the easiest ways to solve the greatest common divisor of 658, 960, 956, 361 i.e 1 in different methods as follows.
Given Input numbers are 658, 960, 956, 361
In the factoring method, we have to find the divisors of all numbers
Divisors of 658 :
The positive integer divisors of 658 that completely divides 658 are.
1, 2, 7, 14, 47, 94, 329, 658
Divisors of 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Divisors of 956 :
The positive integer divisors of 956 that completely divides 956 are.
1, 2, 4, 239, 478, 956
Divisors of 361 :
The positive integer divisors of 361 that completely divides 361 are.
1, 19, 361
GCD of numbers is the greatest common divisor
So, the GCD (658, 960, 956, 361) = 1.
Given numbers are 658, 960, 956, 361
The list of prime factors of all numbers are
Prime factors of 658 are 2 x 7 x 47
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 956 are 2 x 2 x 239
Prime factors of 361 are 19 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 658, 960, 956, 361
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(658, 960) = 315840
GCD(658, 960) = ( 658 x 960 ) / 315840
= 658 / 960
= 658
Step2:
LCM(2, 956) = 956
GCD(2, 956) = ( 2 x 956 ) / 956
= 2 / 956
= 2
Step3:
LCM(2, 361) = 722
GCD(2, 361) = ( 2 x 361 ) / 722
= 2 / 361
= 2
So, Greatest Common Divisor of 658, 960, 956, 361 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 658, 960, 956, 361
The greatest common divisor of numbers 658, 960, 956, 361 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 658, 960, 956, 361 is 1.
1. What is the GCD of 658, 960, 956, 361?
GCD of given numbers 658, 960, 956, 361 is 1
2. How to calculate the greatest common divisor of 658, 960, 956, 361?
We can find the highest common divisor of 658, 960, 956, 361 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 658, 960, 956, 361 i.e 1.
3. How can I use the GCD of 658, 960, 956, 361Calculator?
Out the numbers 658, 960, 956, 361 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.