Online GCD Calculator is useful to find the GCD of 390, 942, 868, 296 quickly. Get the easiest ways to solve the greatest common divisor of 390, 942, 868, 296 i.e 2 in different methods as follows.
Given Input numbers are 390, 942, 868, 296
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 942 :
The positive integer divisors of 942 that completely divides 942 are.
1, 2, 3, 6, 157, 314, 471, 942
Divisors of 868 :
The positive integer divisors of 868 that completely divides 868 are.
1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
Divisors of 296 :
The positive integer divisors of 296 that completely divides 296 are.
1, 2, 4, 8, 37, 74, 148, 296
GCD of numbers is the greatest common divisor
So, the GCD (390, 942, 868, 296) = 2.
Given numbers are 390, 942, 868, 296
The list of prime factors of all numbers are
Prime factors of 390 are 2 x 3 x 5 x 13
Prime factors of 942 are 2 x 3 x 157
Prime factors of 868 are 2 x 2 x 7 x 31
Prime factors of 296 are 2 x 2 x 2 x 37
The highest common occurrence is 21
Therefore, GCD of 390, 942, 868, 296 is 2.
Given numbers are 390, 942, 868, 296
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(390, 942) = 61230
GCD(390, 942) = ( 390 x 942 ) / 61230
= 390 / 942
= 390
Step2:
LCM(6, 868) = 2604
GCD(6, 868) = ( 6 x 868 ) / 2604
= 6 / 868
= 6
Step3:
LCM(2, 296) = 296
GCD(2, 296) = ( 2 x 296 ) / 296
= 2 / 296
= 2
So, Greatest Common Divisor of 390, 942, 868, 296 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 390, 942, 868, 296
The greatest common divisor of numbers 390, 942, 868, 296 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 942, 868, 296 is 2.
1. What is the GCD of 390, 942, 868, 296?
GCD of given numbers 390, 942, 868, 296 is 2
2. How to calculate the greatest common divisor of 390, 942, 868, 296?
We can find the highest common divisor of 390, 942, 868, 296 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, 942, 868, 296 i.e 2.
3. How can I use the GCD of 390, 942, 868, 296Calculator?
Out the numbers 390, 942, 868, 296 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.