Online GCD Calculator is useful to find the GCD of 612, 732, 78, 361 quickly. Get the easiest ways to solve the greatest common divisor of 612, 732, 78, 361 i.e 1 in different methods as follows.
Given Input numbers are 612, 732, 78, 361
In the factoring method, we have to find the divisors of all numbers
Divisors of 612 :
The positive integer divisors of 612 that completely divides 612 are.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Divisors of 732 :
The positive integer divisors of 732 that completely divides 732 are.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 78 :
The positive integer divisors of 78 that completely divides 78 are.
1, 2, 3, 6, 13, 26, 39, 78
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 (612, 732, 78, 361) = 1.
Given numbers are 612, 732, 78, 361
The list of prime factors of all numbers are
Prime factors of 612 are 2 x 2 x 3 x 3 x 17
Prime factors of 732 are 2 x 2 x 3 x 61
Prime factors of 78 are 2 x 3 x 13
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 612, 732, 78, 361
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(612, 732) = 37332
GCD(612, 732) = ( 612 x 732 ) / 37332
= 612 / 732
= 612
Step2:
LCM(12, 78) = 156
GCD(12, 78) = ( 12 x 78 ) / 156
= 12 / 78
= 12
Step3:
LCM(6, 361) = 2166
GCD(6, 361) = ( 6 x 361 ) / 2166
= 6 / 361
= 6
So, Greatest Common Divisor of 612, 732, 78, 361 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 612, 732, 78, 361
The greatest common divisor of numbers 612, 732, 78, 361 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 612, 732, 78, 361 is 1.
1. What is the GCD of 612, 732, 78, 361?
GCD of given numbers 612, 732, 78, 361 is 1
2. How to calculate the greatest common divisor of 612, 732, 78, 361?
We can find the highest common divisor of 612, 732, 78, 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 612, 732, 78, 361 i.e 1.
3. How can I use the GCD of 612, 732, 78, 361Calculator?
Out the numbers 612, 732, 78, 361 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.