Online GCD Calculator is useful to find the GCD of 529, 981, 825, 108 quickly. Get the easiest ways to solve the greatest common divisor of 529, 981, 825, 108 i.e 1 in different methods as follows.
Given Input numbers are 529, 981, 825, 108
In the factoring method, we have to find the divisors of all numbers
Divisors of 529 :
The positive integer divisors of 529 that completely divides 529 are.
1, 23, 529
Divisors of 981 :
The positive integer divisors of 981 that completely divides 981 are.
1, 3, 9, 109, 327, 981
Divisors of 825 :
The positive integer divisors of 825 that completely divides 825 are.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
GCD of numbers is the greatest common divisor
So, the GCD (529, 981, 825, 108) = 1.
Given numbers are 529, 981, 825, 108
The list of prime factors of all numbers are
Prime factors of 529 are 23 x 23
Prime factors of 981 are 3 x 3 x 109
Prime factors of 825 are 3 x 5 x 5 x 11
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 529, 981, 825, 108
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(529, 981) = 518949
GCD(529, 981) = ( 529 x 981 ) / 518949
= 529 / 981
= 529
Step2:
LCM(1, 825) = 825
GCD(1, 825) = ( 1 x 825 ) / 825
= 1 / 825
= 1
Step3:
LCM(1, 108) = 108
GCD(1, 108) = ( 1 x 108 ) / 108
= 1 / 108
= 1
So, Greatest Common Divisor of 529, 981, 825, 108 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 529, 981, 825, 108
The greatest common divisor of numbers 529, 981, 825, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 529, 981, 825, 108 is 1.
1. What is the GCD of 529, 981, 825, 108?
GCD of given numbers 529, 981, 825, 108 is 1
2. How to calculate the greatest common divisor of 529, 981, 825, 108?
We can find the highest common divisor of 529, 981, 825, 108 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 529, 981, 825, 108 i.e 1.
3. How can I use the GCD of 529, 981, 825, 108Calculator?
Out the numbers 529, 981, 825, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.