Online GCD Calculator is useful to find the GCD of 214, 218, 748, 836 quickly. Get the easiest ways to solve the greatest common divisor of 214, 218, 748, 836 i.e 2 in different methods as follows.
Given Input numbers are 214, 218, 748, 836
In the factoring method, we have to find the divisors of all numbers
Divisors of 214 :
The positive integer divisors of 214 that completely divides 214 are.
1, 2, 107, 214
Divisors of 218 :
The positive integer divisors of 218 that completely divides 218 are.
1, 2, 109, 218
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 836 :
The positive integer divisors of 836 that completely divides 836 are.
1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
GCD of numbers is the greatest common divisor
So, the GCD (214, 218, 748, 836) = 2.
Given numbers are 214, 218, 748, 836
The list of prime factors of all numbers are
Prime factors of 214 are 2 x 107
Prime factors of 218 are 2 x 109
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 836 are 2 x 2 x 11 x 19
The highest common occurrence is 21
Therefore, GCD of 214, 218, 748, 836 is 2.
Given numbers are 214, 218, 748, 836
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(214, 218) = 23326
GCD(214, 218) = ( 214 x 218 ) / 23326
= 214 / 218
= 214
Step2:
LCM(2, 748) = 748
GCD(2, 748) = ( 2 x 748 ) / 748
= 2 / 748
= 2
Step3:
LCM(2, 836) = 836
GCD(2, 836) = ( 2 x 836 ) / 836
= 2 / 836
= 2
So, Greatest Common Divisor of 214, 218, 748, 836 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 214, 218, 748, 836
The greatest common divisor of numbers 214, 218, 748, 836 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 214, 218, 748, 836 is 2.
1. What is the GCD of 214, 218, 748, 836?
GCD of given numbers 214, 218, 748, 836 is 2
2. How to calculate the greatest common divisor of 214, 218, 748, 836?
We can find the highest common divisor of 214, 218, 748, 836 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 214, 218, 748, 836 i.e 2.
3. How can I use the GCD of 214, 218, 748, 836Calculator?
Out the numbers 214, 218, 748, 836 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.