Online GCD Calculator is useful to find the GCD of 801, 966, 189, 897 quickly. Get the easiest ways to solve the greatest common divisor of 801, 966, 189, 897 i.e 3 in different methods as follows.
Given Input numbers are 801, 966, 189, 897
In the factoring method, we have to find the divisors of all numbers
Divisors of 801 :
The positive integer divisors of 801 that completely divides 801 are.
1, 3, 9, 89, 267, 801
Divisors of 966 :
The positive integer divisors of 966 that completely divides 966 are.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 897 :
The positive integer divisors of 897 that completely divides 897 are.
1, 3, 13, 23, 39, 69, 299, 897
GCD of numbers is the greatest common divisor
So, the GCD (801, 966, 189, 897) = 3.
Given numbers are 801, 966, 189, 897
The list of prime factors of all numbers are
Prime factors of 801 are 3 x 3 x 89
Prime factors of 966 are 2 x 3 x 7 x 23
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 897 are 3 x 13 x 23
The highest common occurrence is 31
Therefore, GCD of 801, 966, 189, 897 is 3.
Given numbers are 801, 966, 189, 897
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(801, 966) = 257922
GCD(801, 966) = ( 801 x 966 ) / 257922
= 801 / 966
= 801
Step2:
LCM(3, 189) = 189
GCD(3, 189) = ( 3 x 189 ) / 189
= 3 / 189
= 3
Step3:
LCM(3, 897) = 897
GCD(3, 897) = ( 3 x 897 ) / 897
= 3 / 897
= 3
So, Greatest Common Divisor of 801, 966, 189, 897 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 801, 966, 189, 897
The greatest common divisor of numbers 801, 966, 189, 897 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 801, 966, 189, 897 is 3.
1. What is the GCD of 801, 966, 189, 897?
GCD of given numbers 801, 966, 189, 897 is 3
2. How to calculate the greatest common divisor of 801, 966, 189, 897?
We can find the highest common divisor of 801, 966, 189, 897 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 801, 966, 189, 897 i.e 3.
3. How can I use the GCD of 801, 966, 189, 897Calculator?
Out the numbers 801, 966, 189, 897 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.