Online GCD Calculator is useful to find the GCD of 390, 871, 858, 962 quickly. Get the easiest ways to solve the greatest common divisor of 390, 871, 858, 962 i.e 13 in different methods as follows.
Given Input numbers are 390, 871, 858, 962
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 871 :
The positive integer divisors of 871 that completely divides 871 are.
1, 13, 67, 871
Divisors of 858 :
The positive integer divisors of 858 that completely divides 858 are.
1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
Divisors of 962 :
The positive integer divisors of 962 that completely divides 962 are.
1, 2, 13, 26, 37, 74, 481, 962
GCD of numbers is the greatest common divisor
So, the GCD (390, 871, 858, 962) = 13.
Given numbers are 390, 871, 858, 962
The list of prime factors of all numbers are
Prime factors of 390 are 2 x 3 x 5 x 13
Prime factors of 871 are 13 x 67
Prime factors of 858 are 2 x 3 x 11 x 13
Prime factors of 962 are 2 x 13 x 37
The highest common occurrence is 131
Therefore, GCD of 390, 871, 858, 962 is 13.
Given numbers are 390, 871, 858, 962
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(390, 871) = 26130
GCD(390, 871) = ( 390 x 871 ) / 26130
= 390 / 871
= 390
Step2:
LCM(13, 858) = 858
GCD(13, 858) = ( 13 x 858 ) / 858
= 13 / 858
= 13
Step3:
LCM(13, 962) = 962
GCD(13, 962) = ( 13 x 962 ) / 962
= 13 / 962
= 13
So, Greatest Common Divisor of 390, 871, 858, 962 is 13
Here are some samples of GCD of Numbers calculations.
Given numbers are 390, 871, 858, 962
The greatest common divisor of numbers 390, 871, 858, 962 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 871, 858, 962 is 13.
1. What is the GCD of 390, 871, 858, 962?
GCD of given numbers 390, 871, 858, 962 is 13
2. How to calculate the greatest common divisor of 390, 871, 858, 962?
We can find the highest common divisor of 390, 871, 858, 962 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, 871, 858, 962 i.e 13.
3. How can I use the GCD of 390, 871, 858, 962Calculator?
Out the numbers 390, 871, 858, 962 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.