Online GCD Calculator is useful to find the GCD of 210, 686, 756, 164 quickly. Get the easiest ways to solve the greatest common divisor of 210, 686, 756, 164 i.e 2 in different methods as follows.
Given Input numbers are 210, 686, 756, 164
In the factoring method, we have to find the divisors of all numbers
Divisors of 210 :
The positive integer divisors of 210 that completely divides 210 are.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Divisors of 686 :
The positive integer divisors of 686 that completely divides 686 are.
1, 2, 7, 14, 49, 98, 343, 686
Divisors of 756 :
The positive integer divisors of 756 that completely divides 756 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Divisors of 164 :
The positive integer divisors of 164 that completely divides 164 are.
1, 2, 4, 41, 82, 164
GCD of numbers is the greatest common divisor
So, the GCD (210, 686, 756, 164) = 2.
Given numbers are 210, 686, 756, 164
The list of prime factors of all numbers are
Prime factors of 210 are 2 x 3 x 5 x 7
Prime factors of 686 are 2 x 7 x 7 x 7
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
Prime factors of 164 are 2 x 2 x 41
The highest common occurrence is 21
Therefore, GCD of 210, 686, 756, 164 is 2.
Given numbers are 210, 686, 756, 164
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(210, 686) = 10290
GCD(210, 686) = ( 210 x 686 ) / 10290
= 210 / 686
= 210
Step2:
LCM(14, 756) = 756
GCD(14, 756) = ( 14 x 756 ) / 756
= 14 / 756
= 14
Step3:
LCM(14, 164) = 1148
GCD(14, 164) = ( 14 x 164 ) / 1148
= 14 / 164
= 14
So, Greatest Common Divisor of 210, 686, 756, 164 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 210, 686, 756, 164
The greatest common divisor of numbers 210, 686, 756, 164 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 210, 686, 756, 164 is 2.
1. What is the GCD of 210, 686, 756, 164?
GCD of given numbers 210, 686, 756, 164 is 2
2. How to calculate the greatest common divisor of 210, 686, 756, 164?
We can find the highest common divisor of 210, 686, 756, 164 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 210, 686, 756, 164 i.e 2.
3. How can I use the GCD of 210, 686, 756, 164Calculator?
Out the numbers 210, 686, 756, 164 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.