Online GCD Calculator is useful to find the GCD of 162, 124, 594, 684 quickly. Get the easiest ways to solve the greatest common divisor of 162, 124, 594, 684 i.e 2 in different methods as follows.
Given Input numbers are 162, 124, 594, 684
In the factoring method, we have to find the divisors of all numbers
Divisors of 162 :
The positive integer divisors of 162 that completely divides 162 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Divisors of 124 :
The positive integer divisors of 124 that completely divides 124 are.
1, 2, 4, 31, 62, 124
Divisors of 594 :
The positive integer divisors of 594 that completely divides 594 are.
1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
Divisors of 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
GCD of numbers is the greatest common divisor
So, the GCD (162, 124, 594, 684) = 2.
Given numbers are 162, 124, 594, 684
The list of prime factors of all numbers are
Prime factors of 162 are 2 x 3 x 3 x 3 x 3
Prime factors of 124 are 2 x 2 x 31
Prime factors of 594 are 2 x 3 x 3 x 3 x 11
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
The highest common occurrence is 21
Therefore, GCD of 162, 124, 594, 684 is 2.
Given numbers are 162, 124, 594, 684
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(162, 124) = 10044
GCD(162, 124) = ( 162 x 124 ) / 10044
= 162 / 124
= 162
Step2:
LCM(2, 594) = 594
GCD(2, 594) = ( 2 x 594 ) / 594
= 2 / 594
= 2
Step3:
LCM(2, 684) = 684
GCD(2, 684) = ( 2 x 684 ) / 684
= 2 / 684
= 2
So, Greatest Common Divisor of 162, 124, 594, 684 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 162, 124, 594, 684
The greatest common divisor of numbers 162, 124, 594, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 162, 124, 594, 684 is 2.
1. What is the GCD of 162, 124, 594, 684?
GCD of given numbers 162, 124, 594, 684 is 2
2. How to calculate the greatest common divisor of 162, 124, 594, 684?
We can find the highest common divisor of 162, 124, 594, 684 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 162, 124, 594, 684 i.e 2.
3. How can I use the GCD of 162, 124, 594, 684Calculator?
Out the numbers 162, 124, 594, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.