Online GCD Calculator is useful to find the GCD of 891, 231, 407 quickly. Get the easiest ways to solve the greatest common divisor of 891, 231, 407 i.e 11 in different methods as follows.
Given Input numbers are 891, 231, 407
In the factoring method, we have to find the divisors of all numbers
Divisors of 891 :
The positive integer divisors of 891 that completely divides 891 are.
1, 3, 9, 11, 27, 33, 81, 99, 297, 891
Divisors of 231 :
The positive integer divisors of 231 that completely divides 231 are.
1, 3, 7, 11, 21, 33, 77, 231
Divisors of 407 :
The positive integer divisors of 407 that completely divides 407 are.
1, 11, 37, 407
GCD of numbers is the greatest common divisor
So, the GCD (891, 231, 407) = 11.
Given numbers are 891, 231, 407
The list of prime factors of all numbers are
Prime factors of 891 are 3 x 3 x 3 x 3 x 11
Prime factors of 231 are 3 x 7 x 11
Prime factors of 407 are 11 x 37
The highest common occurrence is 111
Therefore, GCD of 891, 231, 407 is 11.
Given numbers are 891, 231, 407
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(891, 231) = 6237
GCD(891, 231) = ( 891 x 231 ) / 6237
= 891 / 231
= 891
Step2:
LCM(33, 407) = 1221
GCD(33, 407) = ( 33 x 407 ) / 1221
= 33 / 407
= 33
So, Greatest Common Divisor of 891, 231, 407 is 11
Here are some samples of GCD of Numbers calculations.
Given numbers are 891, 231, 407
The greatest common divisor of numbers 891, 231, 407 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 891, 231, 407 is 11.
1. What is the GCD of 891, 231, 407?
GCD of given numbers 891, 231, 407 is 11
2. How to calculate the greatest common divisor of 891, 231, 407?
We can find the highest common divisor of 891, 231, 407 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 891, 231, 407 i.e 11.
3. How can I use the GCD of 891, 231, 407Calculator?
Out the numbers 891, 231, 407 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.