Online GCD Calculator is useful to find the GCD of 826, 188, 968, 706 quickly. Get the easiest ways to solve the greatest common divisor of 826, 188, 968, 706 i.e 2 in different methods as follows.
Given Input numbers are 826, 188, 968, 706
In the factoring method, we have to find the divisors of all numbers
Divisors of 826 :
The positive integer divisors of 826 that completely divides 826 are.
1, 2, 7, 14, 59, 118, 413, 826
Divisors of 188 :
The positive integer divisors of 188 that completely divides 188 are.
1, 2, 4, 47, 94, 188
Divisors of 968 :
The positive integer divisors of 968 that completely divides 968 are.
1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
Divisors of 706 :
The positive integer divisors of 706 that completely divides 706 are.
1, 2, 353, 706
GCD of numbers is the greatest common divisor
So, the GCD (826, 188, 968, 706) = 2.
Given numbers are 826, 188, 968, 706
The list of prime factors of all numbers are
Prime factors of 826 are 2 x 7 x 59
Prime factors of 188 are 2 x 2 x 47
Prime factors of 968 are 2 x 2 x 2 x 11 x 11
Prime factors of 706 are 2 x 353
The highest common occurrence is 21
Therefore, GCD of 826, 188, 968, 706 is 2.
Given numbers are 826, 188, 968, 706
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(826, 188) = 77644
GCD(826, 188) = ( 826 x 188 ) / 77644
= 826 / 188
= 826
Step2:
LCM(2, 968) = 968
GCD(2, 968) = ( 2 x 968 ) / 968
= 2 / 968
= 2
Step3:
LCM(2, 706) = 706
GCD(2, 706) = ( 2 x 706 ) / 706
= 2 / 706
= 2
So, Greatest Common Divisor of 826, 188, 968, 706 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 826, 188, 968, 706
The greatest common divisor of numbers 826, 188, 968, 706 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 826, 188, 968, 706 is 2.
1. What is the GCD of 826, 188, 968, 706?
GCD of given numbers 826, 188, 968, 706 is 2
2. How to calculate the greatest common divisor of 826, 188, 968, 706?
We can find the highest common divisor of 826, 188, 968, 706 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 826, 188, 968, 706 i.e 2.
3. How can I use the GCD of 826, 188, 968, 706Calculator?
Out the numbers 826, 188, 968, 706 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.