Online GCD Calculator is useful to find the GCD of 386, 108, 712, 580 quickly. Get the easiest ways to solve the greatest common divisor of 386, 108, 712, 580 i.e 2 in different methods as follows.
Given Input numbers are 386, 108, 712, 580
In the factoring method, we have to find the divisors of all numbers
Divisors of 386 :
The positive integer divisors of 386 that completely divides 386 are.
1, 2, 193, 386
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 712 :
The positive integer divisors of 712 that completely divides 712 are.
1, 2, 4, 8, 89, 178, 356, 712
Divisors of 580 :
The positive integer divisors of 580 that completely divides 580 are.
1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
GCD of numbers is the greatest common divisor
So, the GCD (386, 108, 712, 580) = 2.
Given numbers are 386, 108, 712, 580
The list of prime factors of all numbers are
Prime factors of 386 are 2 x 193
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 712 are 2 x 2 x 2 x 89
Prime factors of 580 are 2 x 2 x 5 x 29
The highest common occurrence is 21
Therefore, GCD of 386, 108, 712, 580 is 2.
Given numbers are 386, 108, 712, 580
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(386, 108) = 20844
GCD(386, 108) = ( 386 x 108 ) / 20844
= 386 / 108
= 386
Step2:
LCM(2, 712) = 712
GCD(2, 712) = ( 2 x 712 ) / 712
= 2 / 712
= 2
Step3:
LCM(2, 580) = 580
GCD(2, 580) = ( 2 x 580 ) / 580
= 2 / 580
= 2
So, Greatest Common Divisor of 386, 108, 712, 580 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 386, 108, 712, 580
The greatest common divisor of numbers 386, 108, 712, 580 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 386, 108, 712, 580 is 2.
1. What is the GCD of 386, 108, 712, 580?
GCD of given numbers 386, 108, 712, 580 is 2
2. How to calculate the greatest common divisor of 386, 108, 712, 580?
We can find the highest common divisor of 386, 108, 712, 580 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 386, 108, 712, 580 i.e 2.
3. How can I use the GCD of 386, 108, 712, 580Calculator?
Out the numbers 386, 108, 712, 580 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.