Online GCD Calculator is useful to find the GCD of 834, 330, 342, 537 quickly. Get the easiest ways to solve the greatest common divisor of 834, 330, 342, 537 i.e 3 in different methods as follows.
Given Input numbers are 834, 330, 342, 537
In the factoring method, we have to find the divisors of all numbers
Divisors of 834 :
The positive integer divisors of 834 that completely divides 834 are.
1, 2, 3, 6, 139, 278, 417, 834
Divisors of 330 :
The positive integer divisors of 330 that completely divides 330 are.
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 537 :
The positive integer divisors of 537 that completely divides 537 are.
1, 3, 179, 537
GCD of numbers is the greatest common divisor
So, the GCD (834, 330, 342, 537) = 3.
Given numbers are 834, 330, 342, 537
The list of prime factors of all numbers are
Prime factors of 834 are 2 x 3 x 139
Prime factors of 330 are 2 x 3 x 5 x 11
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 537 are 3 x 179
The highest common occurrence is 31
Therefore, GCD of 834, 330, 342, 537 is 3.
Given numbers are 834, 330, 342, 537
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(834, 330) = 45870
GCD(834, 330) = ( 834 x 330 ) / 45870
= 834 / 330
= 834
Step2:
LCM(6, 342) = 342
GCD(6, 342) = ( 6 x 342 ) / 342
= 6 / 342
= 6
Step3:
LCM(6, 537) = 1074
GCD(6, 537) = ( 6 x 537 ) / 1074
= 6 / 537
= 6
So, Greatest Common Divisor of 834, 330, 342, 537 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 834, 330, 342, 537
The greatest common divisor of numbers 834, 330, 342, 537 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 834, 330, 342, 537 is 3.
1. What is the GCD of 834, 330, 342, 537?
GCD of given numbers 834, 330, 342, 537 is 3
2. How to calculate the greatest common divisor of 834, 330, 342, 537?
We can find the highest common divisor of 834, 330, 342, 537 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 834, 330, 342, 537 i.e 3.
3. How can I use the GCD of 834, 330, 342, 537Calculator?
Out the numbers 834, 330, 342, 537 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.