Online GCD Calculator is useful to find the GCD of 685, 242, 235, 825 quickly. Get the easiest ways to solve the greatest common divisor of 685, 242, 235, 825 i.e 1 in different methods as follows.
Given Input numbers are 685, 242, 235, 825
In the factoring method, we have to find the divisors of all numbers
Divisors of 685 :
The positive integer divisors of 685 that completely divides 685 are.
1, 5, 137, 685
Divisors of 242 :
The positive integer divisors of 242 that completely divides 242 are.
1, 2, 11, 22, 121, 242
Divisors of 235 :
The positive integer divisors of 235 that completely divides 235 are.
1, 5, 47, 235
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
GCD of numbers is the greatest common divisor
So, the GCD (685, 242, 235, 825) = 1.
Given numbers are 685, 242, 235, 825
The list of prime factors of all numbers are
Prime factors of 685 are 5 x 137
Prime factors of 242 are 2 x 11 x 11
Prime factors of 235 are 5 x 47
Prime factors of 825 are 3 x 5 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 685, 242, 235, 825
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(685, 242) = 165770
GCD(685, 242) = ( 685 x 242 ) / 165770
= 685 / 242
= 685
Step2:
LCM(1, 235) = 235
GCD(1, 235) = ( 1 x 235 ) / 235
= 1 / 235
= 1
Step3:
LCM(1, 825) = 825
GCD(1, 825) = ( 1 x 825 ) / 825
= 1 / 825
= 1
So, Greatest Common Divisor of 685, 242, 235, 825 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 685, 242, 235, 825
The greatest common divisor of numbers 685, 242, 235, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 685, 242, 235, 825 is 1.
1. What is the GCD of 685, 242, 235, 825?
GCD of given numbers 685, 242, 235, 825 is 1
2. How to calculate the greatest common divisor of 685, 242, 235, 825?
We can find the highest common divisor of 685, 242, 235, 825 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 685, 242, 235, 825 i.e 1.
3. How can I use the GCD of 685, 242, 235, 825Calculator?
Out the numbers 685, 242, 235, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.