Online GCD Calculator is useful to find the GCD of 235, 825, 790, 830 quickly. Get the easiest ways to solve the greatest common divisor of 235, 825, 790, 830 i.e 5 in different methods as follows.
Given Input numbers are 235, 825, 790, 830
In the factoring method, we have to find the divisors of all numbers
Divisors of 235 :
The positive integer divisors of 235 that completely divides 235 are.
1, 5, 47, 235
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 790 :
The positive integer divisors of 790 that completely divides 790 are.
1, 2, 5, 10, 79, 158, 395, 790
Divisors of 830 :
The positive integer divisors of 830 that completely divides 830 are.
1, 2, 5, 10, 83, 166, 415, 830
GCD of numbers is the greatest common divisor
So, the GCD (235, 825, 790, 830) = 5.
Given numbers are 235, 825, 790, 830
The list of prime factors of all numbers are
Prime factors of 235 are 5 x 47
Prime factors of 825 are 3 x 5 x 5 x 11
Prime factors of 790 are 2 x 5 x 79
Prime factors of 830 are 2 x 5 x 83
The highest common occurrence is 51
Therefore, GCD of 235, 825, 790, 830 is 5.
Given numbers are 235, 825, 790, 830
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(235, 825) = 38775
GCD(235, 825) = ( 235 x 825 ) / 38775
= 235 / 825
= 235
Step2:
LCM(5, 790) = 790
GCD(5, 790) = ( 5 x 790 ) / 790
= 5 / 790
= 5
Step3:
LCM(5, 830) = 830
GCD(5, 830) = ( 5 x 830 ) / 830
= 5 / 830
= 5
So, Greatest Common Divisor of 235, 825, 790, 830 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 235, 825, 790, 830
The greatest common divisor of numbers 235, 825, 790, 830 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 235, 825, 790, 830 is 5.
1. What is the GCD of 235, 825, 790, 830?
GCD of given numbers 235, 825, 790, 830 is 5
2. How to calculate the greatest common divisor of 235, 825, 790, 830?
We can find the highest common divisor of 235, 825, 790, 830 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 235, 825, 790, 830 i.e 5.
3. How can I use the GCD of 235, 825, 790, 830Calculator?
Out the numbers 235, 825, 790, 830 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.