Online GCD Calculator is useful to find the GCD of 990, 834, 642, 423 quickly. Get the easiest ways to solve the greatest common divisor of 990, 834, 642, 423 i.e 3 in different methods as follows.
Given Input numbers are 990, 834, 642, 423
In the factoring method, we have to find the divisors of all numbers
Divisors of 990 :
The positive integer divisors of 990 that completely divides 990 are.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
Divisors of 834 :
The positive integer divisors of 834 that completely divides 834 are.
1, 2, 3, 6, 139, 278, 417, 834
Divisors of 642 :
The positive integer divisors of 642 that completely divides 642 are.
1, 2, 3, 6, 107, 214, 321, 642
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 (990, 834, 642, 423) = 3.
Given numbers are 990, 834, 642, 423
The list of prime factors of all numbers are
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
Prime factors of 834 are 2 x 3 x 139
Prime factors of 642 are 2 x 3 x 107
Prime factors of 423 are 3 x 3 x 47
The highest common occurrence is 31
Therefore, GCD of 990, 834, 642, 423 is 3.
Given numbers are 990, 834, 642, 423
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(990, 834) = 137610
GCD(990, 834) = ( 990 x 834 ) / 137610
= 990 / 834
= 990
Step2:
LCM(6, 642) = 642
GCD(6, 642) = ( 6 x 642 ) / 642
= 6 / 642
= 6
Step3:
LCM(6, 423) = 846
GCD(6, 423) = ( 6 x 423 ) / 846
= 6 / 423
= 6
So, Greatest Common Divisor of 990, 834, 642, 423 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 990, 834, 642, 423
The greatest common divisor of numbers 990, 834, 642, 423 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 834, 642, 423 is 3.
1. What is the GCD of 990, 834, 642, 423?
GCD of given numbers 990, 834, 642, 423 is 3
2. How to calculate the greatest common divisor of 990, 834, 642, 423?
We can find the highest common divisor of 990, 834, 642, 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 990, 834, 642, 423 i.e 3.
3. How can I use the GCD of 990, 834, 642, 423Calculator?
Out the numbers 990, 834, 642, 423 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.