Online GCD Calculator is useful to find the GCD of 162, 840, 558, 939 quickly. Get the easiest ways to solve the greatest common divisor of 162, 840, 558, 939 i.e 3 in different methods as follows.
Given Input numbers are 162, 840, 558, 939
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 840 :
The positive integer divisors of 840 that completely divides 840 are.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Divisors of 558 :
The positive integer divisors of 558 that completely divides 558 are.
1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
Divisors of 939 :
The positive integer divisors of 939 that completely divides 939 are.
1, 3, 313, 939
GCD of numbers is the greatest common divisor
So, the GCD (162, 840, 558, 939) = 3.
Given numbers are 162, 840, 558, 939
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 840 are 2 x 2 x 2 x 3 x 5 x 7
Prime factors of 558 are 2 x 3 x 3 x 31
Prime factors of 939 are 3 x 313
The highest common occurrence is 31
Therefore, GCD of 162, 840, 558, 939 is 3.
Given numbers are 162, 840, 558, 939
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(162, 840) = 22680
GCD(162, 840) = ( 162 x 840 ) / 22680
= 162 / 840
= 162
Step2:
LCM(6, 558) = 558
GCD(6, 558) = ( 6 x 558 ) / 558
= 6 / 558
= 6
Step3:
LCM(6, 939) = 1878
GCD(6, 939) = ( 6 x 939 ) / 1878
= 6 / 939
= 6
So, Greatest Common Divisor of 162, 840, 558, 939 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 162, 840, 558, 939
The greatest common divisor of numbers 162, 840, 558, 939 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 162, 840, 558, 939 is 3.
1. What is the GCD of 162, 840, 558, 939?
GCD of given numbers 162, 840, 558, 939 is 3
2. How to calculate the greatest common divisor of 162, 840, 558, 939?
We can find the highest common divisor of 162, 840, 558, 939 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, 840, 558, 939 i.e 3.
3. How can I use the GCD of 162, 840, 558, 939Calculator?
Out the numbers 162, 840, 558, 939 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.