Online GCD Calculator is useful to find the GCD of 370, 960, 398, 858 quickly. Get the easiest ways to solve the greatest common divisor of 370, 960, 398, 858 i.e 2 in different methods as follows.
Given Input numbers are 370, 960, 398, 858
In the factoring method, we have to find the divisors of all numbers
Divisors of 370 :
The positive integer divisors of 370 that completely divides 370 are.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Divisors of 398 :
The positive integer divisors of 398 that completely divides 398 are.
1, 2, 199, 398
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
GCD of numbers is the greatest common divisor
So, the GCD (370, 960, 398, 858) = 2.
Given numbers are 370, 960, 398, 858
The list of prime factors of all numbers are
Prime factors of 370 are 2 x 5 x 37
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 398 are 2 x 199
Prime factors of 858 are 2 x 3 x 11 x 13
The highest common occurrence is 21
Therefore, GCD of 370, 960, 398, 858 is 2.
Given numbers are 370, 960, 398, 858
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(370, 960) = 35520
GCD(370, 960) = ( 370 x 960 ) / 35520
= 370 / 960
= 370
Step2:
LCM(10, 398) = 1990
GCD(10, 398) = ( 10 x 398 ) / 1990
= 10 / 398
= 10
Step3:
LCM(2, 858) = 858
GCD(2, 858) = ( 2 x 858 ) / 858
= 2 / 858
= 2
So, Greatest Common Divisor of 370, 960, 398, 858 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 370, 960, 398, 858
The greatest common divisor of numbers 370, 960, 398, 858 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 370, 960, 398, 858 is 2.
1. What is the GCD of 370, 960, 398, 858?
GCD of given numbers 370, 960, 398, 858 is 2
2. How to calculate the greatest common divisor of 370, 960, 398, 858?
We can find the highest common divisor of 370, 960, 398, 858 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 370, 960, 398, 858 i.e 2.
3. How can I use the GCD of 370, 960, 398, 858Calculator?
Out the numbers 370, 960, 398, 858 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.