Online GCD Calculator is useful to find the GCD of 965, 185, 205, 380 quickly. Get the easiest ways to solve the greatest common divisor of 965, 185, 205, 380 i.e 5 in different methods as follows.
Given Input numbers are 965, 185, 205, 380
In the factoring method, we have to find the divisors of all numbers
Divisors of 965 :
The positive integer divisors of 965 that completely divides 965 are.
1, 5, 193, 965
Divisors of 185 :
The positive integer divisors of 185 that completely divides 185 are.
1, 5, 37, 185
Divisors of 205 :
The positive integer divisors of 205 that completely divides 205 are.
1, 5, 41, 205
Divisors of 380 :
The positive integer divisors of 380 that completely divides 380 are.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
GCD of numbers is the greatest common divisor
So, the GCD (965, 185, 205, 380) = 5.
Given numbers are 965, 185, 205, 380
The list of prime factors of all numbers are
Prime factors of 965 are 5 x 193
Prime factors of 185 are 5 x 37
Prime factors of 205 are 5 x 41
Prime factors of 380 are 2 x 2 x 5 x 19
The highest common occurrence is 51
Therefore, GCD of 965, 185, 205, 380 is 5.
Given numbers are 965, 185, 205, 380
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(965, 185) = 35705
GCD(965, 185) = ( 965 x 185 ) / 35705
= 965 / 185
= 965
Step2:
LCM(5, 205) = 205
GCD(5, 205) = ( 5 x 205 ) / 205
= 5 / 205
= 5
Step3:
LCM(5, 380) = 380
GCD(5, 380) = ( 5 x 380 ) / 380
= 5 / 380
= 5
So, Greatest Common Divisor of 965, 185, 205, 380 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 965, 185, 205, 380
The greatest common divisor of numbers 965, 185, 205, 380 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 965, 185, 205, 380 is 5.
1. What is the GCD of 965, 185, 205, 380?
GCD of given numbers 965, 185, 205, 380 is 5
2. How to calculate the greatest common divisor of 965, 185, 205, 380?
We can find the highest common divisor of 965, 185, 205, 380 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 965, 185, 205, 380 i.e 5.
3. How can I use the GCD of 965, 185, 205, 380Calculator?
Out the numbers 965, 185, 205, 380 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.