Online GCD Calculator is useful to find the GCD of 825, 206, 916 quickly. Get the easiest ways to solve the greatest common divisor of 825, 206, 916 i.e 1 in different methods as follows.
Given Input numbers are 825, 206, 916
In the factoring method, we have to find the divisors of all numbers
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 206 :
The positive integer divisors of 206 that completely divides 206 are.
1, 2, 103, 206
Divisors of 916 :
The positive integer divisors of 916 that completely divides 916 are.
1, 2, 4, 229, 458, 916
GCD of numbers is the greatest common divisor
So, the GCD (825, 206, 916) = 1.
Given numbers are 825, 206, 916
The list of prime factors of all numbers are
Prime factors of 825 are 3 x 5 x 5 x 11
Prime factors of 206 are 2 x 103
Prime factors of 916 are 2 x 2 x 229
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 825, 206, 916
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(825, 206) = 169950
GCD(825, 206) = ( 825 x 206 ) / 169950
= 825 / 206
= 825
Step2:
LCM(1, 916) = 916
GCD(1, 916) = ( 1 x 916 ) / 916
= 1 / 916
= 1
So, Greatest Common Divisor of 825, 206, 916 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 825, 206, 916
The greatest common divisor of numbers 825, 206, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 206, 916 is 1.
1. What is the GCD of 825, 206, 916?
GCD of given numbers 825, 206, 916 is 1
2. How to calculate the greatest common divisor of 825, 206, 916?
We can find the highest common divisor of 825, 206, 916 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 825, 206, 916 i.e 1.
3. How can I use the GCD of 825, 206, 916Calculator?
Out the numbers 825, 206, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.