Online GCD Calculator is useful to find the GCD of 825, 535, 725 quickly. Get the easiest ways to solve the greatest common divisor of 825, 535, 725 i.e 5 in different methods as follows.
Given Input numbers are 825, 535, 725
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 535 :
The positive integer divisors of 535 that completely divides 535 are.
1, 5, 107, 535
Divisors of 725 :
The positive integer divisors of 725 that completely divides 725 are.
1, 5, 25, 29, 145, 725
GCD of numbers is the greatest common divisor
So, the GCD (825, 535, 725) = 5.
Given numbers are 825, 535, 725
The list of prime factors of all numbers are
Prime factors of 825 are 3 x 5 x 5 x 11
Prime factors of 535 are 5 x 107
Prime factors of 725 are 5 x 5 x 29
The highest common occurrence is 51
Therefore, GCD of 825, 535, 725 is 5.
Given numbers are 825, 535, 725
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(825, 535) = 88275
GCD(825, 535) = ( 825 x 535 ) / 88275
= 825 / 535
= 825
Step2:
LCM(5, 725) = 725
GCD(5, 725) = ( 5 x 725 ) / 725
= 5 / 725
= 5
So, Greatest Common Divisor of 825, 535, 725 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 825, 535, 725
The greatest common divisor of numbers 825, 535, 725 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 535, 725 is 5.
1. What is the GCD of 825, 535, 725?
GCD of given numbers 825, 535, 725 is 5
2. How to calculate the greatest common divisor of 825, 535, 725?
We can find the highest common divisor of 825, 535, 725 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 825, 535, 725 i.e 5.
3. How can I use the GCD of 825, 535, 725Calculator?
Out the numbers 825, 535, 725 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.