Online GCD Calculator is useful to find the GCD of 891, 174, 927, 147 quickly. Get the easiest ways to solve the greatest common divisor of 891, 174, 927, 147 i.e 3 in different methods as follows.
Given Input numbers are 891, 174, 927, 147
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 174 :
The positive integer divisors of 174 that completely divides 174 are.
1, 2, 3, 6, 29, 58, 87, 174
Divisors of 927 :
The positive integer divisors of 927 that completely divides 927 are.
1, 3, 9, 103, 309, 927
Divisors of 147 :
The positive integer divisors of 147 that completely divides 147 are.
1, 3, 7, 21, 49, 147
GCD of numbers is the greatest common divisor
So, the GCD (891, 174, 927, 147) = 3.
Given numbers are 891, 174, 927, 147
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 174 are 2 x 3 x 29
Prime factors of 927 are 3 x 3 x 103
Prime factors of 147 are 3 x 7 x 7
The highest common occurrence is 31
Therefore, GCD of 891, 174, 927, 147 is 3.
Given numbers are 891, 174, 927, 147
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(891, 174) = 51678
GCD(891, 174) = ( 891 x 174 ) / 51678
= 891 / 174
= 891
Step2:
LCM(3, 927) = 927
GCD(3, 927) = ( 3 x 927 ) / 927
= 3 / 927
= 3
Step3:
LCM(3, 147) = 147
GCD(3, 147) = ( 3 x 147 ) / 147
= 3 / 147
= 3
So, Greatest Common Divisor of 891, 174, 927, 147 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 891, 174, 927, 147
The greatest common divisor of numbers 891, 174, 927, 147 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 891, 174, 927, 147 is 3.
1. What is the GCD of 891, 174, 927, 147?
GCD of given numbers 891, 174, 927, 147 is 3
2. How to calculate the greatest common divisor of 891, 174, 927, 147?
We can find the highest common divisor of 891, 174, 927, 147 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, 174, 927, 147 i.e 3.
3. How can I use the GCD of 891, 174, 927, 147Calculator?
Out the numbers 891, 174, 927, 147 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.