Online GCD Calculator is useful to find the GCD of 836, 322, 680, 676 quickly. Get the easiest ways to solve the greatest common divisor of 836, 322, 680, 676 i.e 2 in different methods as follows.
Given Input numbers are 836, 322, 680, 676
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 322 :
The positive integer divisors of 322 that completely divides 322 are.
1, 2, 7, 14, 23, 46, 161, 322
Divisors of 680 :
The positive integer divisors of 680 that completely divides 680 are.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Divisors of 676 :
The positive integer divisors of 676 that completely divides 676 are.
1, 2, 4, 13, 26, 52, 169, 338, 676
GCD of numbers is the greatest common divisor
So, the GCD (836, 322, 680, 676) = 2.
Given numbers are 836, 322, 680, 676
The list of prime factors of all numbers are
Prime factors of 836 are 2 x 2 x 11 x 19
Prime factors of 322 are 2 x 7 x 23
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
Prime factors of 676 are 2 x 2 x 13 x 13
The highest common occurrence is 21
Therefore, GCD of 836, 322, 680, 676 is 2.
Given numbers are 836, 322, 680, 676
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(836, 322) = 134596
GCD(836, 322) = ( 836 x 322 ) / 134596
= 836 / 322
= 836
Step2:
LCM(2, 680) = 680
GCD(2, 680) = ( 2 x 680 ) / 680
= 2 / 680
= 2
Step3:
LCM(2, 676) = 676
GCD(2, 676) = ( 2 x 676 ) / 676
= 2 / 676
= 2
So, Greatest Common Divisor of 836, 322, 680, 676 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 836, 322, 680, 676
The greatest common divisor of numbers 836, 322, 680, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 836, 322, 680, 676 is 2.
1. What is the GCD of 836, 322, 680, 676?
GCD of given numbers 836, 322, 680, 676 is 2
2. How to calculate the greatest common divisor of 836, 322, 680, 676?
We can find the highest common divisor of 836, 322, 680, 676 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, 322, 680, 676 i.e 2.
3. How can I use the GCD of 836, 322, 680, 676Calculator?
Out the numbers 836, 322, 680, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.