Online GCD Calculator is useful to find the GCD of 836, 748, 338, 868 quickly. Get the easiest ways to solve the greatest common divisor of 836, 748, 338, 868 i.e 2 in different methods as follows.
Given Input numbers are 836, 748, 338, 868
In the factoring method, we have to find the divisors of all numbers
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
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 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
Divisors of 868 :
The positive integer divisors of 868 that completely divides 868 are.
1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
GCD of numbers is the greatest common divisor
So, the GCD (836, 748, 338, 868) = 2.
Given numbers are 836, 748, 338, 868
The list of prime factors of all numbers are
Prime factors of 836 are 2 x 2 x 11 x 19
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 338 are 2 x 13 x 13
Prime factors of 868 are 2 x 2 x 7 x 31
The highest common occurrence is 21
Therefore, GCD of 836, 748, 338, 868 is 2.
Given numbers are 836, 748, 338, 868
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(836, 748) = 14212
GCD(836, 748) = ( 836 x 748 ) / 14212
= 836 / 748
= 836
Step2:
LCM(44, 338) = 7436
GCD(44, 338) = ( 44 x 338 ) / 7436
= 44 / 338
= 44
Step3:
LCM(2, 868) = 868
GCD(2, 868) = ( 2 x 868 ) / 868
= 2 / 868
= 2
So, Greatest Common Divisor of 836, 748, 338, 868 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 836, 748, 338, 868
The greatest common divisor of numbers 836, 748, 338, 868 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 836, 748, 338, 868 is 2.
1. What is the GCD of 836, 748, 338, 868?
GCD of given numbers 836, 748, 338, 868 is 2
2. How to calculate the greatest common divisor of 836, 748, 338, 868?
We can find the highest common divisor of 836, 748, 338, 868 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 836, 748, 338, 868 i.e 2.
3. How can I use the GCD of 836, 748, 338, 868Calculator?
Out the numbers 836, 748, 338, 868 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.