Online GCD Calculator is useful to find the GCD of 725, 835, 745, 780 quickly. Get the easiest ways to solve the greatest common divisor of 725, 835, 745, 780 i.e 5 in different methods as follows.
Given Input numbers are 725, 835, 745, 780
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 835 :
The positive integer divisors of 835 that completely divides 835 are.
1, 5, 167, 835
Divisors of 745 :
The positive integer divisors of 745 that completely divides 745 are.
1, 5, 149, 745
Divisors of 780 :
The positive integer divisors of 780 that completely divides 780 are.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
GCD of numbers is the greatest common divisor
So, the GCD (725, 835, 745, 780) = 5.
Given numbers are 725, 835, 745, 780
The list of prime factors of all numbers are
Prime factors of 725 are 5 x 5 x 29
Prime factors of 835 are 5 x 167
Prime factors of 745 are 5 x 149
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
The highest common occurrence is 51
Therefore, GCD of 725, 835, 745, 780 is 5.
Given numbers are 725, 835, 745, 780
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(725, 835) = 121075
GCD(725, 835) = ( 725 x 835 ) / 121075
= 725 / 835
= 725
Step2:
LCM(5, 745) = 745
GCD(5, 745) = ( 5 x 745 ) / 745
= 5 / 745
= 5
Step3:
LCM(5, 780) = 780
GCD(5, 780) = ( 5 x 780 ) / 780
= 5 / 780
= 5
So, Greatest Common Divisor of 725, 835, 745, 780 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 725, 835, 745, 780
The greatest common divisor of numbers 725, 835, 745, 780 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 725, 835, 745, 780 is 5.
1. What is the GCD of 725, 835, 745, 780?
GCD of given numbers 725, 835, 745, 780 is 5
2. How to calculate the greatest common divisor of 725, 835, 745, 780?
We can find the highest common divisor of 725, 835, 745, 780 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, 835, 745, 780 i.e 5.
3. How can I use the GCD of 725, 835, 745, 780Calculator?
Out the numbers 725, 835, 745, 780 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.