Online GCD Calculator is useful to find the GCD of 475, 325, 725, 855 quickly. Get the easiest ways to solve the greatest common divisor of 475, 325, 725, 855 i.e 5 in different methods as follows.
Given Input numbers are 475, 325, 725, 855
In the factoring method, we have to find the divisors of all numbers
Divisors of 475 :
The positive integer divisors of 475 that completely divides 475 are.
1, 5, 19, 25, 95, 475
Divisors of 325 :
The positive integer divisors of 325 that completely divides 325 are.
1, 5, 13, 25, 65, 325
Divisors of 725 :
The positive integer divisors of 725 that completely divides 725 are.
1, 5, 25, 29, 145, 725
Divisors of 855 :
The positive integer divisors of 855 that completely divides 855 are.
1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
GCD of numbers is the greatest common divisor
So, the GCD (475, 325, 725, 855) = 5.
Given numbers are 475, 325, 725, 855
The list of prime factors of all numbers are
Prime factors of 475 are 5 x 5 x 19
Prime factors of 325 are 5 x 5 x 13
Prime factors of 725 are 5 x 5 x 29
Prime factors of 855 are 3 x 3 x 5 x 19
The highest common occurrence is 51
Therefore, GCD of 475, 325, 725, 855 is 5.
Given numbers are 475, 325, 725, 855
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(475, 325) = 6175
GCD(475, 325) = ( 475 x 325 ) / 6175
= 475 / 325
= 475
Step2:
LCM(25, 725) = 725
GCD(25, 725) = ( 25 x 725 ) / 725
= 25 / 725
= 25
Step3:
LCM(25, 855) = 4275
GCD(25, 855) = ( 25 x 855 ) / 4275
= 25 / 855
= 25
So, Greatest Common Divisor of 475, 325, 725, 855 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 475, 325, 725, 855
The greatest common divisor of numbers 475, 325, 725, 855 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 475, 325, 725, 855 is 5.
1. What is the GCD of 475, 325, 725, 855?
GCD of given numbers 475, 325, 725, 855 is 5
2. How to calculate the greatest common divisor of 475, 325, 725, 855?
We can find the highest common divisor of 475, 325, 725, 855 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 475, 325, 725, 855 i.e 5.
3. How can I use the GCD of 475, 325, 725, 855Calculator?
Out the numbers 475, 325, 725, 855 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.