Online GCD Calculator is useful to find the GCD of 109, 217, 825, 682 quickly. Get the easiest ways to solve the greatest common divisor of 109, 217, 825, 682 i.e 1 in different methods as follows.
Given Input numbers are 109, 217, 825, 682
In the factoring method, we have to find the divisors of all numbers
Divisors of 109 :
The positive integer divisors of 109 that completely divides 109 are.
1, 109
Divisors of 217 :
The positive integer divisors of 217 that completely divides 217 are.
1, 7, 31, 217
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 682 :
The positive integer divisors of 682 that completely divides 682 are.
1, 2, 11, 22, 31, 62, 341, 682
GCD of numbers is the greatest common divisor
So, the GCD (109, 217, 825, 682) = 1.
Given numbers are 109, 217, 825, 682
The list of prime factors of all numbers are
Prime factors of 109 are 109
Prime factors of 217 are 7 x 31
Prime factors of 825 are 3 x 5 x 5 x 11
Prime factors of 682 are 2 x 11 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 109, 217, 825, 682
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(109, 217) = 23653
GCD(109, 217) = ( 109 x 217 ) / 23653
= 109 / 217
= 109
Step2:
LCM(1, 825) = 825
GCD(1, 825) = ( 1 x 825 ) / 825
= 1 / 825
= 1
Step3:
LCM(1, 682) = 682
GCD(1, 682) = ( 1 x 682 ) / 682
= 1 / 682
= 1
So, Greatest Common Divisor of 109, 217, 825, 682 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 109, 217, 825, 682
The greatest common divisor of numbers 109, 217, 825, 682 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 109, 217, 825, 682 is 1.
1. What is the GCD of 109, 217, 825, 682?
GCD of given numbers 109, 217, 825, 682 is 1
2. How to calculate the greatest common divisor of 109, 217, 825, 682?
We can find the highest common divisor of 109, 217, 825, 682 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 109, 217, 825, 682 i.e 1.
3. How can I use the GCD of 109, 217, 825, 682Calculator?
Out the numbers 109, 217, 825, 682 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.