Online GCD Calculator is useful to find the GCD of 825, 595, 298, 133 quickly. Get the easiest ways to solve the greatest common divisor of 825, 595, 298, 133 i.e 1 in different methods as follows.
Given Input numbers are 825, 595, 298, 133
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 595 :
The positive integer divisors of 595 that completely divides 595 are.
1, 5, 7, 17, 35, 85, 119, 595
Divisors of 298 :
The positive integer divisors of 298 that completely divides 298 are.
1, 2, 149, 298
Divisors of 133 :
The positive integer divisors of 133 that completely divides 133 are.
1, 7, 19, 133
GCD of numbers is the greatest common divisor
So, the GCD (825, 595, 298, 133) = 1.
Given numbers are 825, 595, 298, 133
The list of prime factors of all numbers are
Prime factors of 825 are 3 x 5 x 5 x 11
Prime factors of 595 are 5 x 7 x 17
Prime factors of 298 are 2 x 149
Prime factors of 133 are 7 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 825, 595, 298, 133
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(825, 595) = 98175
GCD(825, 595) = ( 825 x 595 ) / 98175
= 825 / 595
= 825
Step2:
LCM(5, 298) = 1490
GCD(5, 298) = ( 5 x 298 ) / 1490
= 5 / 298
= 5
Step3:
LCM(1, 133) = 133
GCD(1, 133) = ( 1 x 133 ) / 133
= 1 / 133
= 1
So, Greatest Common Divisor of 825, 595, 298, 133 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 825, 595, 298, 133
The greatest common divisor of numbers 825, 595, 298, 133 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 595, 298, 133 is 1.
1. What is the GCD of 825, 595, 298, 133?
GCD of given numbers 825, 595, 298, 133 is 1
2. How to calculate the greatest common divisor of 825, 595, 298, 133?
We can find the highest common divisor of 825, 595, 298, 133 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, 595, 298, 133 i.e 1.
3. How can I use the GCD of 825, 595, 298, 133Calculator?
Out the numbers 825, 595, 298, 133 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.