Online GCD Calculator is useful to find the GCD of 186, 708, 924, 342 quickly. Get the easiest ways to solve the greatest common divisor of 186, 708, 924, 342 i.e 6 in different methods as follows.
Given Input numbers are 186, 708, 924, 342
In the factoring method, we have to find the divisors of all numbers
Divisors of 186 :
The positive integer divisors of 186 that completely divides 186 are.
1, 2, 3, 6, 31, 62, 93, 186
Divisors of 708 :
The positive integer divisors of 708 that completely divides 708 are.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 924 :
The positive integer divisors of 924 that completely divides 924 are.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
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
GCD of numbers is the greatest common divisor
So, the GCD (186, 708, 924, 342) = 6.
Given numbers are 186, 708, 924, 342
The list of prime factors of all numbers are
Prime factors of 186 are 2 x 3 x 31
Prime factors of 708 are 2 x 2 x 3 x 59
Prime factors of 924 are 2 x 2 x 3 x 7 x 11
Prime factors of 342 are 2 x 3 x 3 x 19
The highest common occurrence is 21 x 31
Therefore, GCD of 186, 708, 924, 342 is 6.
Given numbers are 186, 708, 924, 342
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(186, 708) = 21948
GCD(186, 708) = ( 186 x 708 ) / 21948
= 186 / 708
= 186
Step2:
LCM(6, 924) = 924
GCD(6, 924) = ( 6 x 924 ) / 924
= 6 / 924
= 6
Step3:
LCM(6, 342) = 342
GCD(6, 342) = ( 6 x 342 ) / 342
= 6 / 342
= 6
So, Greatest Common Divisor of 186, 708, 924, 342 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 186, 708, 924, 342
The greatest common divisor of numbers 186, 708, 924, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 186, 708, 924, 342 is 6.
1. What is the GCD of 186, 708, 924, 342?
GCD of given numbers 186, 708, 924, 342 is 6
2. How to calculate the greatest common divisor of 186, 708, 924, 342?
We can find the highest common divisor of 186, 708, 924, 342 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 186, 708, 924, 342 i.e 6.
3. How can I use the GCD of 186, 708, 924, 342Calculator?
Out the numbers 186, 708, 924, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.