Online GCD Calculator is useful to find the GCD of 755, 285, 825, 795 quickly. Get the easiest ways to solve the greatest common divisor of 755, 285, 825, 795 i.e 5 in different methods as follows.
Given Input numbers are 755, 285, 825, 795
In the factoring method, we have to find the divisors of all numbers
Divisors of 755 :
The positive integer divisors of 755 that completely divides 755 are.
1, 5, 151, 755
Divisors of 285 :
The positive integer divisors of 285 that completely divides 285 are.
1, 3, 5, 15, 19, 57, 95, 285
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 795 :
The positive integer divisors of 795 that completely divides 795 are.
1, 3, 5, 15, 53, 159, 265, 795
GCD of numbers is the greatest common divisor
So, the GCD (755, 285, 825, 795) = 5.
Given numbers are 755, 285, 825, 795
The list of prime factors of all numbers are
Prime factors of 755 are 5 x 151
Prime factors of 285 are 3 x 5 x 19
Prime factors of 825 are 3 x 5 x 5 x 11
Prime factors of 795 are 3 x 5 x 53
The highest common occurrence is 51
Therefore, GCD of 755, 285, 825, 795 is 5.
Given numbers are 755, 285, 825, 795
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(755, 285) = 43035
GCD(755, 285) = ( 755 x 285 ) / 43035
= 755 / 285
= 755
Step2:
LCM(5, 825) = 825
GCD(5, 825) = ( 5 x 825 ) / 825
= 5 / 825
= 5
Step3:
LCM(5, 795) = 795
GCD(5, 795) = ( 5 x 795 ) / 795
= 5 / 795
= 5
So, Greatest Common Divisor of 755, 285, 825, 795 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 755, 285, 825, 795
The greatest common divisor of numbers 755, 285, 825, 795 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 755, 285, 825, 795 is 5.
1. What is the GCD of 755, 285, 825, 795?
GCD of given numbers 755, 285, 825, 795 is 5
2. How to calculate the greatest common divisor of 755, 285, 825, 795?
We can find the highest common divisor of 755, 285, 825, 795 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 755, 285, 825, 795 i.e 5.
3. How can I use the GCD of 755, 285, 825, 795Calculator?
Out the numbers 755, 285, 825, 795 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.