Online GCD Calculator is useful to find the GCD of 852, 126, 234, 106 quickly. Get the easiest ways to solve the greatest common divisor of 852, 126, 234, 106 i.e 2 in different methods as follows.
Given Input numbers are 852, 126, 234, 106
In the factoring method, we have to find the divisors of all numbers
Divisors of 852 :
The positive integer divisors of 852 that completely divides 852 are.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Divisors of 126 :
The positive integer divisors of 126 that completely divides 126 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 234 :
The positive integer divisors of 234 that completely divides 234 are.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
Divisors of 106 :
The positive integer divisors of 106 that completely divides 106 are.
1, 2, 53, 106
GCD of numbers is the greatest common divisor
So, the GCD (852, 126, 234, 106) = 2.
Given numbers are 852, 126, 234, 106
The list of prime factors of all numbers are
Prime factors of 852 are 2 x 2 x 3 x 71
Prime factors of 126 are 2 x 3 x 3 x 7
Prime factors of 234 are 2 x 3 x 3 x 13
Prime factors of 106 are 2 x 53
The highest common occurrence is 21
Therefore, GCD of 852, 126, 234, 106 is 2.
Given numbers are 852, 126, 234, 106
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(852, 126) = 17892
GCD(852, 126) = ( 852 x 126 ) / 17892
= 852 / 126
= 852
Step2:
LCM(6, 234) = 234
GCD(6, 234) = ( 6 x 234 ) / 234
= 6 / 234
= 6
Step3:
LCM(6, 106) = 318
GCD(6, 106) = ( 6 x 106 ) / 318
= 6 / 106
= 6
So, Greatest Common Divisor of 852, 126, 234, 106 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 852, 126, 234, 106
The greatest common divisor of numbers 852, 126, 234, 106 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 126, 234, 106 is 2.
1. What is the GCD of 852, 126, 234, 106?
GCD of given numbers 852, 126, 234, 106 is 2
2. How to calculate the greatest common divisor of 852, 126, 234, 106?
We can find the highest common divisor of 852, 126, 234, 106 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 852, 126, 234, 106 i.e 2.
3. How can I use the GCD of 852, 126, 234, 106Calculator?
Out the numbers 852, 126, 234, 106 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.