Online GCD Calculator is useful to find the GCD of 996, 234, 734, 361 quickly. Get the easiest ways to solve the greatest common divisor of 996, 234, 734, 361 i.e 1 in different methods as follows.
Given Input numbers are 996, 234, 734, 361
In the factoring method, we have to find the divisors of all numbers
Divisors of 996 :
The positive integer divisors of 996 that completely divides 996 are.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
Divisors of 234 :
The positive integer divisors of 234 that completely divides 234 are.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
Divisors of 734 :
The positive integer divisors of 734 that completely divides 734 are.
1, 2, 367, 734
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 (996, 234, 734, 361) = 1.
Given numbers are 996, 234, 734, 361
The list of prime factors of all numbers are
Prime factors of 996 are 2 x 2 x 3 x 83
Prime factors of 234 are 2 x 3 x 3 x 13
Prime factors of 734 are 2 x 367
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 996, 234, 734, 361
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(996, 234) = 38844
GCD(996, 234) = ( 996 x 234 ) / 38844
= 996 / 234
= 996
Step2:
LCM(6, 734) = 2202
GCD(6, 734) = ( 6 x 734 ) / 2202
= 6 / 734
= 6
Step3:
LCM(2, 361) = 722
GCD(2, 361) = ( 2 x 361 ) / 722
= 2 / 361
= 2
So, Greatest Common Divisor of 996, 234, 734, 361 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 996, 234, 734, 361
The greatest common divisor of numbers 996, 234, 734, 361 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 234, 734, 361 is 1.
1. What is the GCD of 996, 234, 734, 361?
GCD of given numbers 996, 234, 734, 361 is 1
2. How to calculate the greatest common divisor of 996, 234, 734, 361?
We can find the highest common divisor of 996, 234, 734, 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 996, 234, 734, 361 i.e 1.
3. How can I use the GCD of 996, 234, 734, 361Calculator?
Out the numbers 996, 234, 734, 361 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.