Online GCD Calculator is useful to find the GCD of 891, 660, 804, 141 quickly. Get the easiest ways to solve the greatest common divisor of 891, 660, 804, 141 i.e 3 in different methods as follows.
Given Input numbers are 891, 660, 804, 141
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 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 804 :
The positive integer divisors of 804 that completely divides 804 are.
1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
Divisors of 141 :
The positive integer divisors of 141 that completely divides 141 are.
1, 3, 47, 141
GCD of numbers is the greatest common divisor
So, the GCD (891, 660, 804, 141) = 3.
Given numbers are 891, 660, 804, 141
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 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 804 are 2 x 2 x 3 x 67
Prime factors of 141 are 3 x 47
The highest common occurrence is 31
Therefore, GCD of 891, 660, 804, 141 is 3.
Given numbers are 891, 660, 804, 141
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(891, 660) = 17820
GCD(891, 660) = ( 891 x 660 ) / 17820
= 891 / 660
= 891
Step2:
LCM(33, 804) = 8844
GCD(33, 804) = ( 33 x 804 ) / 8844
= 33 / 804
= 33
Step3:
LCM(3, 141) = 141
GCD(3, 141) = ( 3 x 141 ) / 141
= 3 / 141
= 3
So, Greatest Common Divisor of 891, 660, 804, 141 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 891, 660, 804, 141
The greatest common divisor of numbers 891, 660, 804, 141 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 891, 660, 804, 141 is 3.
1. What is the GCD of 891, 660, 804, 141?
GCD of given numbers 891, 660, 804, 141 is 3
2. How to calculate the greatest common divisor of 891, 660, 804, 141?
We can find the highest common divisor of 891, 660, 804, 141 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, 660, 804, 141 i.e 3.
3. How can I use the GCD of 891, 660, 804, 141Calculator?
Out the numbers 891, 660, 804, 141 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.