Online GCD Calculator is useful to find the GCD of 732, 378, 360, 442 quickly. Get the easiest ways to solve the greatest common divisor of 732, 378, 360, 442 i.e 2 in different methods as follows.
Given Input numbers are 732, 378, 360, 442
In the factoring method, we have to find the divisors of all numbers
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 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 442 :
The positive integer divisors of 442 that completely divides 442 are.
1, 2, 13, 17, 26, 34, 221, 442
GCD of numbers is the greatest common divisor
So, the GCD (732, 378, 360, 442) = 2.
Given numbers are 732, 378, 360, 442
The list of prime factors of all numbers are
Prime factors of 732 are 2 x 2 x 3 x 61
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 442 are 2 x 13 x 17
The highest common occurrence is 21
Therefore, GCD of 732, 378, 360, 442 is 2.
Given numbers are 732, 378, 360, 442
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(732, 378) = 46116
GCD(732, 378) = ( 732 x 378 ) / 46116
= 732 / 378
= 732
Step2:
LCM(6, 360) = 360
GCD(6, 360) = ( 6 x 360 ) / 360
= 6 / 360
= 6
Step3:
LCM(6, 442) = 1326
GCD(6, 442) = ( 6 x 442 ) / 1326
= 6 / 442
= 6
So, Greatest Common Divisor of 732, 378, 360, 442 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 732, 378, 360, 442
The greatest common divisor of numbers 732, 378, 360, 442 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 732, 378, 360, 442 is 2.
1. What is the GCD of 732, 378, 360, 442?
GCD of given numbers 732, 378, 360, 442 is 2
2. How to calculate the greatest common divisor of 732, 378, 360, 442?
We can find the highest common divisor of 732, 378, 360, 442 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 732, 378, 360, 442 i.e 2.
3. How can I use the GCD of 732, 378, 360, 442Calculator?
Out the numbers 732, 378, 360, 442 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.