Online GCD Calculator is useful to find the GCD of 360, 924, 306, 914 quickly. Get the easiest ways to solve the greatest common divisor of 360, 924, 306, 914 i.e 2 in different methods as follows.
Given Input numbers are 360, 924, 306, 914
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 924 :
The positive integer divisors of 924 that completely divides 924 are.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
Divisors of 306 :
The positive integer divisors of 306 that completely divides 306 are.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
Divisors of 914 :
The positive integer divisors of 914 that completely divides 914 are.
1, 2, 457, 914
GCD of numbers is the greatest common divisor
So, the GCD (360, 924, 306, 914) = 2.
Given numbers are 360, 924, 306, 914
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 924 are 2 x 2 x 3 x 7 x 11
Prime factors of 306 are 2 x 3 x 3 x 17
Prime factors of 914 are 2 x 457
The highest common occurrence is 21
Therefore, GCD of 360, 924, 306, 914 is 2.
Given numbers are 360, 924, 306, 914
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(360, 924) = 27720
GCD(360, 924) = ( 360 x 924 ) / 27720
= 360 / 924
= 360
Step2:
LCM(12, 306) = 612
GCD(12, 306) = ( 12 x 306 ) / 612
= 12 / 306
= 12
Step3:
LCM(6, 914) = 2742
GCD(6, 914) = ( 6 x 914 ) / 2742
= 6 / 914
= 6
So, Greatest Common Divisor of 360, 924, 306, 914 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 360, 924, 306, 914
The greatest common divisor of numbers 360, 924, 306, 914 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 924, 306, 914 is 2.
1. What is the GCD of 360, 924, 306, 914?
GCD of given numbers 360, 924, 306, 914 is 2
2. How to calculate the greatest common divisor of 360, 924, 306, 914?
We can find the highest common divisor of 360, 924, 306, 914 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, 924, 306, 914 i.e 2.
3. How can I use the GCD of 360, 924, 306, 914Calculator?
Out the numbers 360, 924, 306, 914 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.