Online GCD Calculator is useful to find the GCD of 360, 326, 292, 928 quickly. Get the easiest ways to solve the greatest common divisor of 360, 326, 292, 928 i.e 2 in different methods as follows.
Given Input numbers are 360, 326, 292, 928
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 326 :
The positive integer divisors of 326 that completely divides 326 are.
1, 2, 163, 326
Divisors of 292 :
The positive integer divisors of 292 that completely divides 292 are.
1, 2, 4, 73, 146, 292
Divisors of 928 :
The positive integer divisors of 928 that completely divides 928 are.
1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
GCD of numbers is the greatest common divisor
So, the GCD (360, 326, 292, 928) = 2.
Given numbers are 360, 326, 292, 928
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 326 are 2 x 163
Prime factors of 292 are 2 x 2 x 73
Prime factors of 928 are 2 x 2 x 2 x 2 x 2 x 29
The highest common occurrence is 21
Therefore, GCD of 360, 326, 292, 928 is 2.
Given numbers are 360, 326, 292, 928
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(360, 326) = 58680
GCD(360, 326) = ( 360 x 326 ) / 58680
= 360 / 326
= 360
Step2:
LCM(2, 292) = 292
GCD(2, 292) = ( 2 x 292 ) / 292
= 2 / 292
= 2
Step3:
LCM(2, 928) = 928
GCD(2, 928) = ( 2 x 928 ) / 928
= 2 / 928
= 2
So, Greatest Common Divisor of 360, 326, 292, 928 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 360, 326, 292, 928
The greatest common divisor of numbers 360, 326, 292, 928 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 326, 292, 928 is 2.
1. What is the GCD of 360, 326, 292, 928?
GCD of given numbers 360, 326, 292, 928 is 2
2. How to calculate the greatest common divisor of 360, 326, 292, 928?
We can find the highest common divisor of 360, 326, 292, 928 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, 326, 292, 928 i.e 2.
3. How can I use the GCD of 360, 326, 292, 928Calculator?
Out the numbers 360, 326, 292, 928 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.