Online GCD Calculator is useful to find the GCD of 829, 218, 814, 264 quickly. Get the easiest ways to solve the greatest common divisor of 829, 218, 814, 264 i.e 1 in different methods as follows.
Given Input numbers are 829, 218, 814, 264
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 218 :
The positive integer divisors of 218 that completely divides 218 are.
1, 2, 109, 218
Divisors of 814 :
The positive integer divisors of 814 that completely divides 814 are.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 264 :
The positive integer divisors of 264 that completely divides 264 are.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
GCD of numbers is the greatest common divisor
So, the GCD (829, 218, 814, 264) = 1.
Given numbers are 829, 218, 814, 264
The list of prime factors of all numbers are
Prime factors of 829 are 829
Prime factors of 218 are 2 x 109
Prime factors of 814 are 2 x 11 x 37
Prime factors of 264 are 2 x 2 x 2 x 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 829, 218, 814, 264
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(829, 218) = 180722
GCD(829, 218) = ( 829 x 218 ) / 180722
= 829 / 218
= 829
Step2:
LCM(1, 814) = 814
GCD(1, 814) = ( 1 x 814 ) / 814
= 1 / 814
= 1
Step3:
LCM(1, 264) = 264
GCD(1, 264) = ( 1 x 264 ) / 264
= 1 / 264
= 1
So, Greatest Common Divisor of 829, 218, 814, 264 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 829, 218, 814, 264
The greatest common divisor of numbers 829, 218, 814, 264 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 829, 218, 814, 264 is 1.
1. What is the GCD of 829, 218, 814, 264?
GCD of given numbers 829, 218, 814, 264 is 1
2. How to calculate the greatest common divisor of 829, 218, 814, 264?
We can find the highest common divisor of 829, 218, 814, 264 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, 218, 814, 264 i.e 1.
3. How can I use the GCD of 829, 218, 814, 264Calculator?
Out the numbers 829, 218, 814, 264 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.