Online GCD Calculator is useful to find the GCD of 687, 582, 628, 225 quickly. Get the easiest ways to solve the greatest common divisor of 687, 582, 628, 225 i.e 1 in different methods as follows.
Given Input numbers are 687, 582, 628, 225
In the factoring method, we have to find the divisors of all numbers
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
Divisors of 582 :
The positive integer divisors of 582 that completely divides 582 are.
1, 2, 3, 6, 97, 194, 291, 582
Divisors of 628 :
The positive integer divisors of 628 that completely divides 628 are.
1, 2, 4, 157, 314, 628
Divisors of 225 :
The positive integer divisors of 225 that completely divides 225 are.
1, 3, 5, 9, 15, 25, 45, 75, 225
GCD of numbers is the greatest common divisor
So, the GCD (687, 582, 628, 225) = 1.
Given numbers are 687, 582, 628, 225
The list of prime factors of all numbers are
Prime factors of 687 are 3 x 229
Prime factors of 582 are 2 x 3 x 97
Prime factors of 628 are 2 x 2 x 157
Prime factors of 225 are 3 x 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 687, 582, 628, 225
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(687, 582) = 133278
GCD(687, 582) = ( 687 x 582 ) / 133278
= 687 / 582
= 687
Step2:
LCM(3, 628) = 1884
GCD(3, 628) = ( 3 x 628 ) / 1884
= 3 / 628
= 3
Step3:
LCM(1, 225) = 225
GCD(1, 225) = ( 1 x 225 ) / 225
= 1 / 225
= 1
So, Greatest Common Divisor of 687, 582, 628, 225 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 687, 582, 628, 225
The greatest common divisor of numbers 687, 582, 628, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 687, 582, 628, 225 is 1.
1. What is the GCD of 687, 582, 628, 225?
GCD of given numbers 687, 582, 628, 225 is 1
2. How to calculate the greatest common divisor of 687, 582, 628, 225?
We can find the highest common divisor of 687, 582, 628, 225 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 687, 582, 628, 225 i.e 1.
3. How can I use the GCD of 687, 582, 628, 225Calculator?
Out the numbers 687, 582, 628, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.