Online GCD Calculator is useful to find the GCD of 829, 688, 207, 966 quickly. Get the easiest ways to solve the greatest common divisor of 829, 688, 207, 966 i.e 1 in different methods as follows.
Given Input numbers are 829, 688, 207, 966
In the factoring method, we have to find the divisors of all numbers
Divisors of 829 :
The positive integer divisors of 829 that completely divides 829 are.
1, 829
Divisors of 688 :
The positive integer divisors of 688 that completely divides 688 are.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Divisors of 207 :
The positive integer divisors of 207 that completely divides 207 are.
1, 3, 9, 23, 69, 207
Divisors of 966 :
The positive integer divisors of 966 that completely divides 966 are.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
GCD of numbers is the greatest common divisor
So, the GCD (829, 688, 207, 966) = 1.
Given numbers are 829, 688, 207, 966
The list of prime factors of all numbers are
Prime factors of 829 are 829
Prime factors of 688 are 2 x 2 x 2 x 2 x 43
Prime factors of 207 are 3 x 3 x 23
Prime factors of 966 are 2 x 3 x 7 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 829, 688, 207, 966
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(829, 688) = 570352
GCD(829, 688) = ( 829 x 688 ) / 570352
= 829 / 688
= 829
Step2:
LCM(1, 207) = 207
GCD(1, 207) = ( 1 x 207 ) / 207
= 1 / 207
= 1
Step3:
LCM(1, 966) = 966
GCD(1, 966) = ( 1 x 966 ) / 966
= 1 / 966
= 1
So, Greatest Common Divisor of 829, 688, 207, 966 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 829, 688, 207, 966
The greatest common divisor of numbers 829, 688, 207, 966 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 829, 688, 207, 966 is 1.
1. What is the GCD of 829, 688, 207, 966?
GCD of given numbers 829, 688, 207, 966 is 1
2. How to calculate the greatest common divisor of 829, 688, 207, 966?
We can find the highest common divisor of 829, 688, 207, 966 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 829, 688, 207, 966 i.e 1.
3. How can I use the GCD of 829, 688, 207, 966Calculator?
Out the numbers 829, 688, 207, 966 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.