Online GCD Calculator is useful to find the GCD of 252, 849, 189, 927 quickly. Get the easiest ways to solve the greatest common divisor of 252, 849, 189, 927 i.e 3 in different methods as follows.
Given Input numbers are 252, 849, 189, 927
In the factoring method, we have to find the divisors of all numbers
Divisors of 252 :
The positive integer divisors of 252 that completely divides 252 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
Divisors of 849 :
The positive integer divisors of 849 that completely divides 849 are.
1, 3, 283, 849
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 927 :
The positive integer divisors of 927 that completely divides 927 are.
1, 3, 9, 103, 309, 927
GCD of numbers is the greatest common divisor
So, the GCD (252, 849, 189, 927) = 3.
Given numbers are 252, 849, 189, 927
The list of prime factors of all numbers are
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
Prime factors of 849 are 3 x 283
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 927 are 3 x 3 x 103
The highest common occurrence is 31
Therefore, GCD of 252, 849, 189, 927 is 3.
Given numbers are 252, 849, 189, 927
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(252, 849) = 71316
GCD(252, 849) = ( 252 x 849 ) / 71316
= 252 / 849
= 252
Step2:
LCM(3, 189) = 189
GCD(3, 189) = ( 3 x 189 ) / 189
= 3 / 189
= 3
Step3:
LCM(3, 927) = 927
GCD(3, 927) = ( 3 x 927 ) / 927
= 3 / 927
= 3
So, Greatest Common Divisor of 252, 849, 189, 927 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 252, 849, 189, 927
The greatest common divisor of numbers 252, 849, 189, 927 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 252, 849, 189, 927 is 3.
1. What is the GCD of 252, 849, 189, 927?
GCD of given numbers 252, 849, 189, 927 is 3
2. How to calculate the greatest common divisor of 252, 849, 189, 927?
We can find the highest common divisor of 252, 849, 189, 927 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 252, 849, 189, 927 i.e 3.
3. How can I use the GCD of 252, 849, 189, 927Calculator?
Out the numbers 252, 849, 189, 927 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.