Online GCD Calculator is useful to find the GCD of 930, 894, 921, 423 quickly. Get the easiest ways to solve the greatest common divisor of 930, 894, 921, 423 i.e 3 in different methods as follows.
Given Input numbers are 930, 894, 921, 423
In the factoring method, we have to find the divisors of all numbers
Divisors of 930 :
The positive integer divisors of 930 that completely divides 930 are.
1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
Divisors of 894 :
The positive integer divisors of 894 that completely divides 894 are.
1, 2, 3, 6, 149, 298, 447, 894
Divisors of 921 :
The positive integer divisors of 921 that completely divides 921 are.
1, 3, 307, 921
Divisors of 423 :
The positive integer divisors of 423 that completely divides 423 are.
1, 3, 9, 47, 141, 423
GCD of numbers is the greatest common divisor
So, the GCD (930, 894, 921, 423) = 3.
Given numbers are 930, 894, 921, 423
The list of prime factors of all numbers are
Prime factors of 930 are 2 x 3 x 5 x 31
Prime factors of 894 are 2 x 3 x 149
Prime factors of 921 are 3 x 307
Prime factors of 423 are 3 x 3 x 47
The highest common occurrence is 31
Therefore, GCD of 930, 894, 921, 423 is 3.
Given numbers are 930, 894, 921, 423
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(930, 894) = 138570
GCD(930, 894) = ( 930 x 894 ) / 138570
= 930 / 894
= 930
Step2:
LCM(6, 921) = 1842
GCD(6, 921) = ( 6 x 921 ) / 1842
= 6 / 921
= 6
Step3:
LCM(3, 423) = 423
GCD(3, 423) = ( 3 x 423 ) / 423
= 3 / 423
= 3
So, Greatest Common Divisor of 930, 894, 921, 423 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 930, 894, 921, 423
The greatest common divisor of numbers 930, 894, 921, 423 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 930, 894, 921, 423 is 3.
1. What is the GCD of 930, 894, 921, 423?
GCD of given numbers 930, 894, 921, 423 is 3
2. How to calculate the greatest common divisor of 930, 894, 921, 423?
We can find the highest common divisor of 930, 894, 921, 423 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 930, 894, 921, 423 i.e 3.
3. How can I use the GCD of 930, 894, 921, 423Calculator?
Out the numbers 930, 894, 921, 423 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.