Online GCD Calculator is useful to find the GCD of 725, 775, 645 quickly. Get the easiest ways to solve the greatest common divisor of 725, 775, 645 i.e 5 in different methods as follows.
Given Input numbers are 725, 775, 645
In the factoring method, we have to find the divisors of all numbers
Divisors of 725 :
The positive integer divisors of 725 that completely divides 725 are.
1, 5, 25, 29, 145, 725
Divisors of 775 :
The positive integer divisors of 775 that completely divides 775 are.
1, 5, 25, 31, 155, 775
Divisors of 645 :
The positive integer divisors of 645 that completely divides 645 are.
1, 3, 5, 15, 43, 129, 215, 645
GCD of numbers is the greatest common divisor
So, the GCD (725, 775, 645) = 5.
Given numbers are 725, 775, 645
The list of prime factors of all numbers are
Prime factors of 725 are 5 x 5 x 29
Prime factors of 775 are 5 x 5 x 31
Prime factors of 645 are 3 x 5 x 43
The highest common occurrence is 51
Therefore, GCD of 725, 775, 645 is 5.
Given numbers are 725, 775, 645
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(725, 775) = 22475
GCD(725, 775) = ( 725 x 775 ) / 22475
= 725 / 775
= 725
Step2:
LCM(25, 645) = 3225
GCD(25, 645) = ( 25 x 645 ) / 3225
= 25 / 645
= 25
So, Greatest Common Divisor of 725, 775, 645 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 725, 775, 645
The greatest common divisor of numbers 725, 775, 645 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 725, 775, 645 is 5.
1. What is the GCD of 725, 775, 645?
GCD of given numbers 725, 775, 645 is 5
2. How to calculate the greatest common divisor of 725, 775, 645?
We can find the highest common divisor of 725, 775, 645 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 725, 775, 645 i.e 5.
3. How can I use the GCD of 725, 775, 645Calculator?
Out the numbers 725, 775, 645 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.