Online GCD Calculator is useful to find the GCD of 897, 231, 765, 825 quickly. Get the easiest ways to solve the greatest common divisor of 897, 231, 765, 825 i.e 3 in different methods as follows.
Given Input numbers are 897, 231, 765, 825
In the factoring method, we have to find the divisors of all numbers
Divisors of 897 :
The positive integer divisors of 897 that completely divides 897 are.
1, 3, 13, 23, 39, 69, 299, 897
Divisors of 231 :
The positive integer divisors of 231 that completely divides 231 are.
1, 3, 7, 11, 21, 33, 77, 231
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 (897, 231, 765, 825) = 3.
Given numbers are 897, 231, 765, 825
The list of prime factors of all numbers are
Prime factors of 897 are 3 x 13 x 23
Prime factors of 231 are 3 x 7 x 11
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 highest common occurrence is 31
Therefore, GCD of 897, 231, 765, 825 is 3.
Given numbers are 897, 231, 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(897, 231) = 69069
GCD(897, 231) = ( 897 x 231 ) / 69069
= 897 / 231
= 897
Step2:
LCM(3, 765) = 765
GCD(3, 765) = ( 3 x 765 ) / 765
= 3 / 765
= 3
Step3:
LCM(3, 825) = 825
GCD(3, 825) = ( 3 x 825 ) / 825
= 3 / 825
= 3
So, Greatest Common Divisor of 897, 231, 765, 825 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 897, 231, 765, 825
The greatest common divisor of numbers 897, 231, 765, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 897, 231, 765, 825 is 3.
1. What is the GCD of 897, 231, 765, 825?
GCD of given numbers 897, 231, 765, 825 is 3
2. How to calculate the greatest common divisor of 897, 231, 765, 825?
We can find the highest common divisor of 897, 231, 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 897, 231, 765, 825 i.e 3.
3. How can I use the GCD of 897, 231, 765, 825Calculator?
Out the numbers 897, 231, 765, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.