Online GCD Calculator is useful to find the GCD of 390, 864, 952, 118 quickly. Get the easiest ways to solve the greatest common divisor of 390, 864, 952, 118 i.e 2 in different methods as follows.
Given Input numbers are 390, 864, 952, 118
In the factoring method, we have to find the divisors of all numbers
Divisors of 390 :
The positive integer divisors of 390 that completely divides 390 are.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Divisors of 864 :
The positive integer divisors of 864 that completely divides 864 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
Divisors of 952 :
The positive integer divisors of 952 that completely divides 952 are.
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
Divisors of 118 :
The positive integer divisors of 118 that completely divides 118 are.
1, 2, 59, 118
GCD of numbers is the greatest common divisor
So, the GCD (390, 864, 952, 118) = 2.
Given numbers are 390, 864, 952, 118
The list of prime factors of all numbers are
Prime factors of 390 are 2 x 3 x 5 x 13
Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 952 are 2 x 2 x 2 x 7 x 17
Prime factors of 118 are 2 x 59
The highest common occurrence is 21
Therefore, GCD of 390, 864, 952, 118 is 2.
Given numbers are 390, 864, 952, 118
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(390, 864) = 56160
GCD(390, 864) = ( 390 x 864 ) / 56160
= 390 / 864
= 390
Step2:
LCM(6, 952) = 2856
GCD(6, 952) = ( 6 x 952 ) / 2856
= 6 / 952
= 6
Step3:
LCM(2, 118) = 118
GCD(2, 118) = ( 2 x 118 ) / 118
= 2 / 118
= 2
So, Greatest Common Divisor of 390, 864, 952, 118 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 390, 864, 952, 118
The greatest common divisor of numbers 390, 864, 952, 118 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 864, 952, 118 is 2.
1. What is the GCD of 390, 864, 952, 118?
GCD of given numbers 390, 864, 952, 118 is 2
2. How to calculate the greatest common divisor of 390, 864, 952, 118?
We can find the highest common divisor of 390, 864, 952, 118 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 390, 864, 952, 118 i.e 2.
3. How can I use the GCD of 390, 864, 952, 118Calculator?
Out the numbers 390, 864, 952, 118 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.