Online GCD Calculator is useful to find the GCD of 380, 114, 682, 314 quickly. Get the easiest ways to solve the greatest common divisor of 380, 114, 682, 314 i.e 2 in different methods as follows.
Given Input numbers are 380, 114, 682, 314
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 114 :
The positive integer divisors of 114 that completely divides 114 are.
1, 2, 3, 6, 19, 38, 57, 114
Divisors of 682 :
The positive integer divisors of 682 that completely divides 682 are.
1, 2, 11, 22, 31, 62, 341, 682
Divisors of 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
GCD of numbers is the greatest common divisor
So, the GCD (380, 114, 682, 314) = 2.
Given numbers are 380, 114, 682, 314
The list of prime factors of all numbers are
Prime factors of 380 are 2 x 2 x 5 x 19
Prime factors of 114 are 2 x 3 x 19
Prime factors of 682 are 2 x 11 x 31
Prime factors of 314 are 2 x 157
The highest common occurrence is 21
Therefore, GCD of 380, 114, 682, 314 is 2.
Given numbers are 380, 114, 682, 314
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(380, 114) = 1140
GCD(380, 114) = ( 380 x 114 ) / 1140
= 380 / 114
= 380
Step2:
LCM(38, 682) = 12958
GCD(38, 682) = ( 38 x 682 ) / 12958
= 38 / 682
= 38
Step3:
LCM(2, 314) = 314
GCD(2, 314) = ( 2 x 314 ) / 314
= 2 / 314
= 2
So, Greatest Common Divisor of 380, 114, 682, 314 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 380, 114, 682, 314
The greatest common divisor of numbers 380, 114, 682, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 114, 682, 314 is 2.
1. What is the GCD of 380, 114, 682, 314?
GCD of given numbers 380, 114, 682, 314 is 2
2. How to calculate the greatest common divisor of 380, 114, 682, 314?
We can find the highest common divisor of 380, 114, 682, 314 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, 114, 682, 314 i.e 2.
3. How can I use the GCD of 380, 114, 682, 314Calculator?
Out the numbers 380, 114, 682, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.