Online GCD Calculator is useful to find the GCD of 360, 406, 814, 942 quickly. Get the easiest ways to solve the greatest common divisor of 360, 406, 814, 942 i.e 2 in different methods as follows.
Given Input numbers are 360, 406, 814, 942
In the factoring method, we have to find the divisors of all numbers
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 406 :
The positive integer divisors of 406 that completely divides 406 are.
1, 2, 7, 14, 29, 58, 203, 406
Divisors of 814 :
The positive integer divisors of 814 that completely divides 814 are.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 942 :
The positive integer divisors of 942 that completely divides 942 are.
1, 2, 3, 6, 157, 314, 471, 942
GCD of numbers is the greatest common divisor
So, the GCD (360, 406, 814, 942) = 2.
Given numbers are 360, 406, 814, 942
The list of prime factors of all numbers are
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 406 are 2 x 7 x 29
Prime factors of 814 are 2 x 11 x 37
Prime factors of 942 are 2 x 3 x 157
The highest common occurrence is 21
Therefore, GCD of 360, 406, 814, 942 is 2.
Given numbers are 360, 406, 814, 942
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(360, 406) = 73080
GCD(360, 406) = ( 360 x 406 ) / 73080
= 360 / 406
= 360
Step2:
LCM(2, 814) = 814
GCD(2, 814) = ( 2 x 814 ) / 814
= 2 / 814
= 2
Step3:
LCM(2, 942) = 942
GCD(2, 942) = ( 2 x 942 ) / 942
= 2 / 942
= 2
So, Greatest Common Divisor of 360, 406, 814, 942 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 360, 406, 814, 942
The greatest common divisor of numbers 360, 406, 814, 942 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 406, 814, 942 is 2.
1. What is the GCD of 360, 406, 814, 942?
GCD of given numbers 360, 406, 814, 942 is 2
2. How to calculate the greatest common divisor of 360, 406, 814, 942?
We can find the highest common divisor of 360, 406, 814, 942 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 360, 406, 814, 942 i.e 2.
3. How can I use the GCD of 360, 406, 814, 942Calculator?
Out the numbers 360, 406, 814, 942 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.