Online GCD Calculator is useful to find the GCD of 829, 322, 357, 997 quickly. Get the easiest ways to solve the greatest common divisor of 829, 322, 357, 997 i.e 1 in different methods as follows.
Given Input numbers are 829, 322, 357, 997
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 322 :
The positive integer divisors of 322 that completely divides 322 are.
1, 2, 7, 14, 23, 46, 161, 322
Divisors of 357 :
The positive integer divisors of 357 that completely divides 357 are.
1, 3, 7, 17, 21, 51, 119, 357
Divisors of 997 :
The positive integer divisors of 997 that completely divides 997 are.
1, 997
GCD of numbers is the greatest common divisor
So, the GCD (829, 322, 357, 997) = 1.
Given numbers are 829, 322, 357, 997
The list of prime factors of all numbers are
Prime factors of 829 are 829
Prime factors of 322 are 2 x 7 x 23
Prime factors of 357 are 3 x 7 x 17
Prime factors of 997 are 997
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 829, 322, 357, 997
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(829, 322) = 266938
GCD(829, 322) = ( 829 x 322 ) / 266938
= 829 / 322
= 829
Step2:
LCM(1, 357) = 357
GCD(1, 357) = ( 1 x 357 ) / 357
= 1 / 357
= 1
Step3:
LCM(1, 997) = 997
GCD(1, 997) = ( 1 x 997 ) / 997
= 1 / 997
= 1
So, Greatest Common Divisor of 829, 322, 357, 997 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 829, 322, 357, 997
The greatest common divisor of numbers 829, 322, 357, 997 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 829, 322, 357, 997 is 1.
1. What is the GCD of 829, 322, 357, 997?
GCD of given numbers 829, 322, 357, 997 is 1
2. How to calculate the greatest common divisor of 829, 322, 357, 997?
We can find the highest common divisor of 829, 322, 357, 997 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, 322, 357, 997 i.e 1.
3. How can I use the GCD of 829, 322, 357, 997Calculator?
Out the numbers 829, 322, 357, 997 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.