Online GCD Calculator is useful to find the GCD of 108, 682, 180, 340 quickly. Get the easiest ways to solve the greatest common divisor of 108, 682, 180, 340 i.e 2 in different methods as follows.
Given Input numbers are 108, 682, 180, 340
In the factoring method, we have to find the divisors of all numbers
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 682 :
The positive integer divisors of 682 that completely divides 682 are.
1, 2, 11, 22, 31, 62, 341, 682
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 340 :
The positive integer divisors of 340 that completely divides 340 are.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
GCD of numbers is the greatest common divisor
So, the GCD (108, 682, 180, 340) = 2.
Given numbers are 108, 682, 180, 340
The list of prime factors of all numbers are
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 682 are 2 x 11 x 31
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 340 are 2 x 2 x 5 x 17
The highest common occurrence is 21
Therefore, GCD of 108, 682, 180, 340 is 2.
Given numbers are 108, 682, 180, 340
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(108, 682) = 36828
GCD(108, 682) = ( 108 x 682 ) / 36828
= 108 / 682
= 108
Step2:
LCM(2, 180) = 180
GCD(2, 180) = ( 2 x 180 ) / 180
= 2 / 180
= 2
Step3:
LCM(2, 340) = 340
GCD(2, 340) = ( 2 x 340 ) / 340
= 2 / 340
= 2
So, Greatest Common Divisor of 108, 682, 180, 340 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 108, 682, 180, 340
The greatest common divisor of numbers 108, 682, 180, 340 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 682, 180, 340 is 2.
1. What is the GCD of 108, 682, 180, 340?
GCD of given numbers 108, 682, 180, 340 is 2
2. How to calculate the greatest common divisor of 108, 682, 180, 340?
We can find the highest common divisor of 108, 682, 180, 340 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 108, 682, 180, 340 i.e 2.
3. How can I use the GCD of 108, 682, 180, 340Calculator?
Out the numbers 108, 682, 180, 340 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.