Online GCD Calculator is useful to find the GCD of 825, 190, 745, 275 quickly. Get the easiest ways to solve the greatest common divisor of 825, 190, 745, 275 i.e 5 in different methods as follows.
Given Input numbers are 825, 190, 745, 275
In the factoring method, we have to find the divisors of all numbers
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 190 :
The positive integer divisors of 190 that completely divides 190 are.
1, 2, 5, 10, 19, 38, 95, 190
Divisors of 745 :
The positive integer divisors of 745 that completely divides 745 are.
1, 5, 149, 745
Divisors of 275 :
The positive integer divisors of 275 that completely divides 275 are.
1, 5, 11, 25, 55, 275
GCD of numbers is the greatest common divisor
So, the GCD (825, 190, 745, 275) = 5.
Given numbers are 825, 190, 745, 275
The list of prime factors of all numbers are
Prime factors of 825 are 3 x 5 x 5 x 11
Prime factors of 190 are 2 x 5 x 19
Prime factors of 745 are 5 x 149
Prime factors of 275 are 5 x 5 x 11
The highest common occurrence is 51
Therefore, GCD of 825, 190, 745, 275 is 5.
Given numbers are 825, 190, 745, 275
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(825, 190) = 31350
GCD(825, 190) = ( 825 x 190 ) / 31350
= 825 / 190
= 825
Step2:
LCM(5, 745) = 745
GCD(5, 745) = ( 5 x 745 ) / 745
= 5 / 745
= 5
Step3:
LCM(5, 275) = 275
GCD(5, 275) = ( 5 x 275 ) / 275
= 5 / 275
= 5
So, Greatest Common Divisor of 825, 190, 745, 275 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 825, 190, 745, 275
The greatest common divisor of numbers 825, 190, 745, 275 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 190, 745, 275 is 5.
1. What is the GCD of 825, 190, 745, 275?
GCD of given numbers 825, 190, 745, 275 is 5
2. How to calculate the greatest common divisor of 825, 190, 745, 275?
We can find the highest common divisor of 825, 190, 745, 275 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 825, 190, 745, 275 i.e 5.
3. How can I use the GCD of 825, 190, 745, 275Calculator?
Out the numbers 825, 190, 745, 275 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.