Online GCD Calculator is useful to find the GCD of 837, 864, 129, 141 quickly. Get the easiest ways to solve the greatest common divisor of 837, 864, 129, 141 i.e 3 in different methods as follows.
Given Input numbers are 837, 864, 129, 141
In the factoring method, we have to find the divisors of all numbers
Divisors of 837 :
The positive integer divisors of 837 that completely divides 837 are.
1, 3, 9, 27, 31, 93, 279, 837
Divisors of 864 :
The positive integer divisors of 864 that completely divides 864 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
Divisors of 129 :
The positive integer divisors of 129 that completely divides 129 are.
1, 3, 43, 129
Divisors of 141 :
The positive integer divisors of 141 that completely divides 141 are.
1, 3, 47, 141
GCD of numbers is the greatest common divisor
So, the GCD (837, 864, 129, 141) = 3.
Given numbers are 837, 864, 129, 141
The list of prime factors of all numbers are
Prime factors of 837 are 3 x 3 x 3 x 31
Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 129 are 3 x 43
Prime factors of 141 are 3 x 47
The highest common occurrence is 31
Therefore, GCD of 837, 864, 129, 141 is 3.
Given numbers are 837, 864, 129, 141
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(837, 864) = 26784
GCD(837, 864) = ( 837 x 864 ) / 26784
= 837 / 864
= 837
Step2:
LCM(27, 129) = 1161
GCD(27, 129) = ( 27 x 129 ) / 1161
= 27 / 129
= 27
Step3:
LCM(3, 141) = 141
GCD(3, 141) = ( 3 x 141 ) / 141
= 3 / 141
= 3
So, Greatest Common Divisor of 837, 864, 129, 141 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 837, 864, 129, 141
The greatest common divisor of numbers 837, 864, 129, 141 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 837, 864, 129, 141 is 3.
1. What is the GCD of 837, 864, 129, 141?
GCD of given numbers 837, 864, 129, 141 is 3
2. How to calculate the greatest common divisor of 837, 864, 129, 141?
We can find the highest common divisor of 837, 864, 129, 141 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 837, 864, 129, 141 i.e 3.
3. How can I use the GCD of 837, 864, 129, 141Calculator?
Out the numbers 837, 864, 129, 141 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.