Online GCD Calculator is useful to find the GCD of 133, 900, 765, 825 quickly. Get the easiest ways to solve the greatest common divisor of 133, 900, 765, 825 i.e 1 in different methods as follows.
Given Input numbers are 133, 900, 765, 825
In the factoring method, we have to find the divisors of all numbers
Divisors of 133 :
The positive integer divisors of 133 that completely divides 133 are.
1, 7, 19, 133
Divisors of 900 :
The positive integer divisors of 900 that completely divides 900 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Divisors of 765 :
The positive integer divisors of 765 that completely divides 765 are.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
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 (133, 900, 765, 825) = 1.
Given numbers are 133, 900, 765, 825
The list of prime factors of all numbers are
Prime factors of 133 are 7 x 19
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
Prime factors of 765 are 3 x 3 x 5 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 133, 900, 765, 825
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(133, 900) = 119700
GCD(133, 900) = ( 133 x 900 ) / 119700
= 133 / 900
= 133
Step2:
LCM(1, 765) = 765
GCD(1, 765) = ( 1 x 765 ) / 765
= 1 / 765
= 1
Step3:
LCM(1, 825) = 825
GCD(1, 825) = ( 1 x 825 ) / 825
= 1 / 825
= 1
So, Greatest Common Divisor of 133, 900, 765, 825 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 133, 900, 765, 825
The greatest common divisor of numbers 133, 900, 765, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 133, 900, 765, 825 is 1.
1. What is the GCD of 133, 900, 765, 825?
GCD of given numbers 133, 900, 765, 825 is 1
2. How to calculate the greatest common divisor of 133, 900, 765, 825?
We can find the highest common divisor of 133, 900, 765, 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 133, 900, 765, 825 i.e 1.
3. How can I use the GCD of 133, 900, 765, 825Calculator?
Out the numbers 133, 900, 765, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.