Online GCD Calculator is useful to find the GCD of 200, 564, 923, 825 quickly. Get the easiest ways to solve the greatest common divisor of 200, 564, 923, 825 i.e 1 in different methods as follows.
Given Input numbers are 200, 564, 923, 825
In the factoring method, we have to find the divisors of all numbers
Divisors of 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Divisors of 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 923 :
The positive integer divisors of 923 that completely divides 923 are.
1, 13, 71, 923
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 (200, 564, 923, 825) = 1.
Given numbers are 200, 564, 923, 825
The list of prime factors of all numbers are
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 923 are 13 x 71
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 200, 564, 923, 825
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(200, 564) = 28200
GCD(200, 564) = ( 200 x 564 ) / 28200
= 200 / 564
= 200
Step2:
LCM(4, 923) = 3692
GCD(4, 923) = ( 4 x 923 ) / 3692
= 4 / 923
= 4
Step3:
LCM(1, 825) = 825
GCD(1, 825) = ( 1 x 825 ) / 825
= 1 / 825
= 1
So, Greatest Common Divisor of 200, 564, 923, 825 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 200, 564, 923, 825
The greatest common divisor of numbers 200, 564, 923, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 564, 923, 825 is 1.
1. What is the GCD of 200, 564, 923, 825?
GCD of given numbers 200, 564, 923, 825 is 1
2. How to calculate the greatest common divisor of 200, 564, 923, 825?
We can find the highest common divisor of 200, 564, 923, 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 200, 564, 923, 825 i.e 1.
3. How can I use the GCD of 200, 564, 923, 825Calculator?
Out the numbers 200, 564, 923, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.