Online GCD Calculator is useful to find the GCD of 175, 960, 306, 825 quickly. Get the easiest ways to solve the greatest common divisor of 175, 960, 306, 825 i.e 1 in different methods as follows.
Given Input numbers are 175, 960, 306, 825
In the factoring method, we have to find the divisors of all numbers
Divisors of 175 :
The positive integer divisors of 175 that completely divides 175 are.
1, 5, 7, 25, 35, 175
Divisors of 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Divisors of 306 :
The positive integer divisors of 306 that completely divides 306 are.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
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
GCD of numbers is the greatest common divisor
So, the GCD (175, 960, 306, 825) = 1.
Given numbers are 175, 960, 306, 825
The list of prime factors of all numbers are
Prime factors of 175 are 5 x 5 x 7
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 306 are 2 x 3 x 3 x 17
Prime factors of 825 are 3 x 5 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 175, 960, 306, 825
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(175, 960) = 33600
GCD(175, 960) = ( 175 x 960 ) / 33600
= 175 / 960
= 175
Step2:
LCM(5, 306) = 1530
GCD(5, 306) = ( 5 x 306 ) / 1530
= 5 / 306
= 5
Step3:
LCM(1, 825) = 825
GCD(1, 825) = ( 1 x 825 ) / 825
= 1 / 825
= 1
So, Greatest Common Divisor of 175, 960, 306, 825 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 175, 960, 306, 825
The greatest common divisor of numbers 175, 960, 306, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 175, 960, 306, 825 is 1.
1. What is the GCD of 175, 960, 306, 825?
GCD of given numbers 175, 960, 306, 825 is 1
2. How to calculate the greatest common divisor of 175, 960, 306, 825?
We can find the highest common divisor of 175, 960, 306, 825 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 175, 960, 306, 825 i.e 1.
3. How can I use the GCD of 175, 960, 306, 825Calculator?
Out the numbers 175, 960, 306, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.