Online GCD Calculator is useful to find the GCD of 829, 799, 904, 972 quickly. Get the easiest ways to solve the greatest common divisor of 829, 799, 904, 972 i.e 1 in different methods as follows.
Given Input numbers are 829, 799, 904, 972
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 799 :
The positive integer divisors of 799 that completely divides 799 are.
1, 17, 47, 799
Divisors of 904 :
The positive integer divisors of 904 that completely divides 904 are.
1, 2, 4, 8, 113, 226, 452, 904
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
GCD of numbers is the greatest common divisor
So, the GCD (829, 799, 904, 972) = 1.
Given numbers are 829, 799, 904, 972
The list of prime factors of all numbers are
Prime factors of 829 are 829
Prime factors of 799 are 17 x 47
Prime factors of 904 are 2 x 2 x 2 x 113
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 829, 799, 904, 972
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(829, 799) = 662371
GCD(829, 799) = ( 829 x 799 ) / 662371
= 829 / 799
= 829
Step2:
LCM(1, 904) = 904
GCD(1, 904) = ( 1 x 904 ) / 904
= 1 / 904
= 1
Step3:
LCM(1, 972) = 972
GCD(1, 972) = ( 1 x 972 ) / 972
= 1 / 972
= 1
So, Greatest Common Divisor of 829, 799, 904, 972 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 829, 799, 904, 972
The greatest common divisor of numbers 829, 799, 904, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 829, 799, 904, 972 is 1.
1. What is the GCD of 829, 799, 904, 972?
GCD of given numbers 829, 799, 904, 972 is 1
2. How to calculate the greatest common divisor of 829, 799, 904, 972?
We can find the highest common divisor of 829, 799, 904, 972 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, 799, 904, 972 i.e 1.
3. How can I use the GCD of 829, 799, 904, 972Calculator?
Out the numbers 829, 799, 904, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.