Online GCD Calculator is useful to find the GCD of 153, 150, 729, 891 quickly. Get the easiest ways to solve the greatest common divisor of 153, 150, 729, 891 i.e 3 in different methods as follows.
Given Input numbers are 153, 150, 729, 891
In the factoring method, we have to find the divisors of all numbers
Divisors of 153 :
The positive integer divisors of 153 that completely divides 153 are.
1, 3, 9, 17, 51, 153
Divisors of 150 :
The positive integer divisors of 150 that completely divides 150 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Divisors of 729 :
The positive integer divisors of 729 that completely divides 729 are.
1, 3, 9, 27, 81, 243, 729
Divisors of 891 :
The positive integer divisors of 891 that completely divides 891 are.
1, 3, 9, 11, 27, 33, 81, 99, 297, 891
GCD of numbers is the greatest common divisor
So, the GCD (153, 150, 729, 891) = 3.
Given numbers are 153, 150, 729, 891
The list of prime factors of all numbers are
Prime factors of 153 are 3 x 3 x 17
Prime factors of 150 are 2 x 3 x 5 x 5
Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3
Prime factors of 891 are 3 x 3 x 3 x 3 x 11
The highest common occurrence is 31
Therefore, GCD of 153, 150, 729, 891 is 3.
Given numbers are 153, 150, 729, 891
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(153, 150) = 7650
GCD(153, 150) = ( 153 x 150 ) / 7650
= 153 / 150
= 153
Step2:
LCM(3, 729) = 729
GCD(3, 729) = ( 3 x 729 ) / 729
= 3 / 729
= 3
Step3:
LCM(3, 891) = 891
GCD(3, 891) = ( 3 x 891 ) / 891
= 3 / 891
= 3
So, Greatest Common Divisor of 153, 150, 729, 891 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 153, 150, 729, 891
The greatest common divisor of numbers 153, 150, 729, 891 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 153, 150, 729, 891 is 3.
1. What is the GCD of 153, 150, 729, 891?
GCD of given numbers 153, 150, 729, 891 is 3
2. How to calculate the greatest common divisor of 153, 150, 729, 891?
We can find the highest common divisor of 153, 150, 729, 891 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 153, 150, 729, 891 i.e 3.
3. How can I use the GCD of 153, 150, 729, 891Calculator?
Out the numbers 153, 150, 729, 891 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.