Online GCD Calculator is useful to find the GCD of 834, 981, 138, 129 quickly. Get the easiest ways to solve the greatest common divisor of 834, 981, 138, 129 i.e 3 in different methods as follows.
Given Input numbers are 834, 981, 138, 129
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 981 :
The positive integer divisors of 981 that completely divides 981 are.
1, 3, 9, 109, 327, 981
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 129 :
The positive integer divisors of 129 that completely divides 129 are.
1, 3, 43, 129
GCD of numbers is the greatest common divisor
So, the GCD (834, 981, 138, 129) = 3.
Given numbers are 834, 981, 138, 129
The list of prime factors of all numbers are
Prime factors of 834 are 2 x 3 x 139
Prime factors of 981 are 3 x 3 x 109
Prime factors of 138 are 2 x 3 x 23
Prime factors of 129 are 3 x 43
The highest common occurrence is 31
Therefore, GCD of 834, 981, 138, 129 is 3.
Given numbers are 834, 981, 138, 129
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(834, 981) = 272718
GCD(834, 981) = ( 834 x 981 ) / 272718
= 834 / 981
= 834
Step2:
LCM(3, 138) = 138
GCD(3, 138) = ( 3 x 138 ) / 138
= 3 / 138
= 3
Step3:
LCM(3, 129) = 129
GCD(3, 129) = ( 3 x 129 ) / 129
= 3 / 129
= 3
So, Greatest Common Divisor of 834, 981, 138, 129 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 834, 981, 138, 129
The greatest common divisor of numbers 834, 981, 138, 129 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 834, 981, 138, 129 is 3.
1. What is the GCD of 834, 981, 138, 129?
GCD of given numbers 834, 981, 138, 129 is 3
2. How to calculate the greatest common divisor of 834, 981, 138, 129?
We can find the highest common divisor of 834, 981, 138, 129 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, 981, 138, 129 i.e 3.
3. How can I use the GCD of 834, 981, 138, 129Calculator?
Out the numbers 834, 981, 138, 129 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.