Online GCD Calculator is useful to find the GCD of 829, 864, 909, 991 quickly. Get the easiest ways to solve the greatest common divisor of 829, 864, 909, 991 i.e 1 in different methods as follows.
Given Input numbers are 829, 864, 909, 991
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 864 :
The positive integer divisors of 864 that completely divides 864 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
Divisors of 909 :
The positive integer divisors of 909 that completely divides 909 are.
1, 3, 9, 101, 303, 909
Divisors of 991 :
The positive integer divisors of 991 that completely divides 991 are.
1, 991
GCD of numbers is the greatest common divisor
So, the GCD (829, 864, 909, 991) = 1.
Given numbers are 829, 864, 909, 991
The list of prime factors of all numbers are
Prime factors of 829 are 829
Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 909 are 3 x 3 x 101
Prime factors of 991 are 991
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 829, 864, 909, 991
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(829, 864) = 716256
GCD(829, 864) = ( 829 x 864 ) / 716256
= 829 / 864
= 829
Step2:
LCM(1, 909) = 909
GCD(1, 909) = ( 1 x 909 ) / 909
= 1 / 909
= 1
Step3:
LCM(1, 991) = 991
GCD(1, 991) = ( 1 x 991 ) / 991
= 1 / 991
= 1
So, Greatest Common Divisor of 829, 864, 909, 991 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 829, 864, 909, 991
The greatest common divisor of numbers 829, 864, 909, 991 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 829, 864, 909, 991 is 1.
1. What is the GCD of 829, 864, 909, 991?
GCD of given numbers 829, 864, 909, 991 is 1
2. How to calculate the greatest common divisor of 829, 864, 909, 991?
We can find the highest common divisor of 829, 864, 909, 991 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, 864, 909, 991 i.e 1.
3. How can I use the GCD of 829, 864, 909, 991Calculator?
Out the numbers 829, 864, 909, 991 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.