Online GCD Calculator is useful to find the GCD of 380, 268, 644, 830 quickly. Get the easiest ways to solve the greatest common divisor of 380, 268, 644, 830 i.e 2 in different methods as follows.
Given Input numbers are 380, 268, 644, 830
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 268 :
The positive integer divisors of 268 that completely divides 268 are.
1, 2, 4, 67, 134, 268
Divisors of 644 :
The positive integer divisors of 644 that completely divides 644 are.
1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
Divisors of 830 :
The positive integer divisors of 830 that completely divides 830 are.
1, 2, 5, 10, 83, 166, 415, 830
GCD of numbers is the greatest common divisor
So, the GCD (380, 268, 644, 830) = 2.
Given numbers are 380, 268, 644, 830
The list of prime factors of all numbers are
Prime factors of 380 are 2 x 2 x 5 x 19
Prime factors of 268 are 2 x 2 x 67
Prime factors of 644 are 2 x 2 x 7 x 23
Prime factors of 830 are 2 x 5 x 83
The highest common occurrence is 21
Therefore, GCD of 380, 268, 644, 830 is 2.
Given numbers are 380, 268, 644, 830
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(380, 268) = 25460
GCD(380, 268) = ( 380 x 268 ) / 25460
= 380 / 268
= 380
Step2:
LCM(4, 644) = 644
GCD(4, 644) = ( 4 x 644 ) / 644
= 4 / 644
= 4
Step3:
LCM(4, 830) = 1660
GCD(4, 830) = ( 4 x 830 ) / 1660
= 4 / 830
= 4
So, Greatest Common Divisor of 380, 268, 644, 830 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 380, 268, 644, 830
The greatest common divisor of numbers 380, 268, 644, 830 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 268, 644, 830 is 2.
1. What is the GCD of 380, 268, 644, 830?
GCD of given numbers 380, 268, 644, 830 is 2
2. How to calculate the greatest common divisor of 380, 268, 644, 830?
We can find the highest common divisor of 380, 268, 644, 830 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 380, 268, 644, 830 i.e 2.
3. How can I use the GCD of 380, 268, 644, 830Calculator?
Out the numbers 380, 268, 644, 830 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.