Online GCD Calculator is useful to find the GCD of 676, 686, 300, 108 quickly. Get the easiest ways to solve the greatest common divisor of 676, 686, 300, 108 i.e 2 in different methods as follows.
Given Input numbers are 676, 686, 300, 108
In the factoring method, we have to find the divisors of all numbers
Divisors of 676 :
The positive integer divisors of 676 that completely divides 676 are.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 686 :
The positive integer divisors of 686 that completely divides 686 are.
1, 2, 7, 14, 49, 98, 343, 686
Divisors of 300 :
The positive integer divisors of 300 that completely divides 300 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
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
GCD of numbers is the greatest common divisor
So, the GCD (676, 686, 300, 108) = 2.
Given numbers are 676, 686, 300, 108
The list of prime factors of all numbers are
Prime factors of 676 are 2 x 2 x 13 x 13
Prime factors of 686 are 2 x 7 x 7 x 7
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 676, 686, 300, 108 is 2.
Given numbers are 676, 686, 300, 108
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(676, 686) = 231868
GCD(676, 686) = ( 676 x 686 ) / 231868
= 676 / 686
= 676
Step2:
LCM(2, 300) = 300
GCD(2, 300) = ( 2 x 300 ) / 300
= 2 / 300
= 2
Step3:
LCM(2, 108) = 108
GCD(2, 108) = ( 2 x 108 ) / 108
= 2 / 108
= 2
So, Greatest Common Divisor of 676, 686, 300, 108 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 676, 686, 300, 108
The greatest common divisor of numbers 676, 686, 300, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 676, 686, 300, 108 is 2.
1. What is the GCD of 676, 686, 300, 108?
GCD of given numbers 676, 686, 300, 108 is 2
2. How to calculate the greatest common divisor of 676, 686, 300, 108?
We can find the highest common divisor of 676, 686, 300, 108 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 676, 686, 300, 108 i.e 2.
3. How can I use the GCD of 676, 686, 300, 108Calculator?
Out the numbers 676, 686, 300, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.