Online GCD Calculator is useful to find the GCD of 398, 432, 864, 760 quickly. Get the easiest ways to solve the greatest common divisor of 398, 432, 864, 760 i.e 2 in different methods as follows.
Given Input numbers are 398, 432, 864, 760
In the factoring method, we have to find the divisors of all numbers
Divisors of 398 :
The positive integer divisors of 398 that completely divides 398 are.
1, 2, 199, 398
Divisors of 432 :
The positive integer divisors of 432 that completely divides 432 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
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 760 :
The positive integer divisors of 760 that completely divides 760 are.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
GCD of numbers is the greatest common divisor
So, the GCD (398, 432, 864, 760) = 2.
Given numbers are 398, 432, 864, 760
The list of prime factors of all numbers are
Prime factors of 398 are 2 x 199
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 760 are 2 x 2 x 2 x 5 x 19
The highest common occurrence is 21
Therefore, GCD of 398, 432, 864, 760 is 2.
Given numbers are 398, 432, 864, 760
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(398, 432) = 85968
GCD(398, 432) = ( 398 x 432 ) / 85968
= 398 / 432
= 398
Step2:
LCM(2, 864) = 864
GCD(2, 864) = ( 2 x 864 ) / 864
= 2 / 864
= 2
Step3:
LCM(2, 760) = 760
GCD(2, 760) = ( 2 x 760 ) / 760
= 2 / 760
= 2
So, Greatest Common Divisor of 398, 432, 864, 760 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 398, 432, 864, 760
The greatest common divisor of numbers 398, 432, 864, 760 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 432, 864, 760 is 2.
1. What is the GCD of 398, 432, 864, 760?
GCD of given numbers 398, 432, 864, 760 is 2
2. How to calculate the greatest common divisor of 398, 432, 864, 760?
We can find the highest common divisor of 398, 432, 864, 760 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 398, 432, 864, 760 i.e 2.
3. How can I use the GCD of 398, 432, 864, 760Calculator?
Out the numbers 398, 432, 864, 760 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.