Online GCD Calculator is useful to find the GCD of 189, 618, 939, 426 quickly. Get the easiest ways to solve the greatest common divisor of 189, 618, 939, 426 i.e 3 in different methods as follows.
Given Input numbers are 189, 618, 939, 426
In the factoring method, we have to find the divisors of all numbers
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 618 :
The positive integer divisors of 618 that completely divides 618 are.
1, 2, 3, 6, 103, 206, 309, 618
Divisors of 939 :
The positive integer divisors of 939 that completely divides 939 are.
1, 3, 313, 939
Divisors of 426 :
The positive integer divisors of 426 that completely divides 426 are.
1, 2, 3, 6, 71, 142, 213, 426
GCD of numbers is the greatest common divisor
So, the GCD (189, 618, 939, 426) = 3.
Given numbers are 189, 618, 939, 426
The list of prime factors of all numbers are
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 618 are 2 x 3 x 103
Prime factors of 939 are 3 x 313
Prime factors of 426 are 2 x 3 x 71
The highest common occurrence is 31
Therefore, GCD of 189, 618, 939, 426 is 3.
Given numbers are 189, 618, 939, 426
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(189, 618) = 38934
GCD(189, 618) = ( 189 x 618 ) / 38934
= 189 / 618
= 189
Step2:
LCM(3, 939) = 939
GCD(3, 939) = ( 3 x 939 ) / 939
= 3 / 939
= 3
Step3:
LCM(3, 426) = 426
GCD(3, 426) = ( 3 x 426 ) / 426
= 3 / 426
= 3
So, Greatest Common Divisor of 189, 618, 939, 426 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 189, 618, 939, 426
The greatest common divisor of numbers 189, 618, 939, 426 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 618, 939, 426 is 3.
1. What is the GCD of 189, 618, 939, 426?
GCD of given numbers 189, 618, 939, 426 is 3
2. How to calculate the greatest common divisor of 189, 618, 939, 426?
We can find the highest common divisor of 189, 618, 939, 426 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 189, 618, 939, 426 i.e 3.
3. How can I use the GCD of 189, 618, 939, 426Calculator?
Out the numbers 189, 618, 939, 426 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.