Online GCD Calculator is useful to find the GCD of 561, 645, 428, 825 quickly. Get the easiest ways to solve the greatest common divisor of 561, 645, 428, 825 i.e 1 in different methods as follows.
Given Input numbers are 561, 645, 428, 825
In the factoring method, we have to find the divisors of all numbers
Divisors of 561 :
The positive integer divisors of 561 that completely divides 561 are.
1, 3, 11, 17, 33, 51, 187, 561
Divisors of 645 :
The positive integer divisors of 645 that completely divides 645 are.
1, 3, 5, 15, 43, 129, 215, 645
Divisors of 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
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 (561, 645, 428, 825) = 1.
Given numbers are 561, 645, 428, 825
The list of prime factors of all numbers are
Prime factors of 561 are 3 x 11 x 17
Prime factors of 645 are 3 x 5 x 43
Prime factors of 428 are 2 x 2 x 107
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 561, 645, 428, 825
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(561, 645) = 120615
GCD(561, 645) = ( 561 x 645 ) / 120615
= 561 / 645
= 561
Step2:
LCM(3, 428) = 1284
GCD(3, 428) = ( 3 x 428 ) / 1284
= 3 / 428
= 3
Step3:
LCM(1, 825) = 825
GCD(1, 825) = ( 1 x 825 ) / 825
= 1 / 825
= 1
So, Greatest Common Divisor of 561, 645, 428, 825 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 561, 645, 428, 825
The greatest common divisor of numbers 561, 645, 428, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 645, 428, 825 is 1.
1. What is the GCD of 561, 645, 428, 825?
GCD of given numbers 561, 645, 428, 825 is 1
2. How to calculate the greatest common divisor of 561, 645, 428, 825?
We can find the highest common divisor of 561, 645, 428, 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 561, 645, 428, 825 i.e 1.
3. How can I use the GCD of 561, 645, 428, 825Calculator?
Out the numbers 561, 645, 428, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.