Online GCD Calculator is useful to find the GCD of 440, 955, 725, 825 quickly. Get the easiest ways to solve the greatest common divisor of 440, 955, 725, 825 i.e 5 in different methods as follows.
Given Input numbers are 440, 955, 725, 825
In the factoring method, we have to find the divisors of all numbers
Divisors of 440 :
The positive integer divisors of 440 that completely divides 440 are.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Divisors of 955 :
The positive integer divisors of 955 that completely divides 955 are.
1, 5, 191, 955
Divisors of 725 :
The positive integer divisors of 725 that completely divides 725 are.
1, 5, 25, 29, 145, 725
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 (440, 955, 725, 825) = 5.
Given numbers are 440, 955, 725, 825
The list of prime factors of all numbers are
Prime factors of 440 are 2 x 2 x 2 x 5 x 11
Prime factors of 955 are 5 x 191
Prime factors of 725 are 5 x 5 x 29
Prime factors of 825 are 3 x 5 x 5 x 11
The highest common occurrence is 51
Therefore, GCD of 440, 955, 725, 825 is 5.
Given numbers are 440, 955, 725, 825
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(440, 955) = 84040
GCD(440, 955) = ( 440 x 955 ) / 84040
= 440 / 955
= 440
Step2:
LCM(5, 725) = 725
GCD(5, 725) = ( 5 x 725 ) / 725
= 5 / 725
= 5
Step3:
LCM(5, 825) = 825
GCD(5, 825) = ( 5 x 825 ) / 825
= 5 / 825
= 5
So, Greatest Common Divisor of 440, 955, 725, 825 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 440, 955, 725, 825
The greatest common divisor of numbers 440, 955, 725, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 440, 955, 725, 825 is 5.
1. What is the GCD of 440, 955, 725, 825?
GCD of given numbers 440, 955, 725, 825 is 5
2. How to calculate the greatest common divisor of 440, 955, 725, 825?
We can find the highest common divisor of 440, 955, 725, 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 440, 955, 725, 825 i.e 5.
3. How can I use the GCD of 440, 955, 725, 825Calculator?
Out the numbers 440, 955, 725, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.