Online GCD Calculator is useful to find the GCD of 285, 834, 249, 162 quickly. Get the easiest ways to solve the greatest common divisor of 285, 834, 249, 162 i.e 3 in different methods as follows.
Given Input numbers are 285, 834, 249, 162
In the factoring method, we have to find the divisors of all numbers
Divisors of 285 :
The positive integer divisors of 285 that completely divides 285 are.
1, 3, 5, 15, 19, 57, 95, 285
Divisors of 834 :
The positive integer divisors of 834 that completely divides 834 are.
1, 2, 3, 6, 139, 278, 417, 834
Divisors of 249 :
The positive integer divisors of 249 that completely divides 249 are.
1, 3, 83, 249
Divisors of 162 :
The positive integer divisors of 162 that completely divides 162 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
GCD of numbers is the greatest common divisor
So, the GCD (285, 834, 249, 162) = 3.
Given numbers are 285, 834, 249, 162
The list of prime factors of all numbers are
Prime factors of 285 are 3 x 5 x 19
Prime factors of 834 are 2 x 3 x 139
Prime factors of 249 are 3 x 83
Prime factors of 162 are 2 x 3 x 3 x 3 x 3
The highest common occurrence is 31
Therefore, GCD of 285, 834, 249, 162 is 3.
Given numbers are 285, 834, 249, 162
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(285, 834) = 79230
GCD(285, 834) = ( 285 x 834 ) / 79230
= 285 / 834
= 285
Step2:
LCM(3, 249) = 249
GCD(3, 249) = ( 3 x 249 ) / 249
= 3 / 249
= 3
Step3:
LCM(3, 162) = 162
GCD(3, 162) = ( 3 x 162 ) / 162
= 3 / 162
= 3
So, Greatest Common Divisor of 285, 834, 249, 162 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 285, 834, 249, 162
The greatest common divisor of numbers 285, 834, 249, 162 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 285, 834, 249, 162 is 3.
1. What is the GCD of 285, 834, 249, 162?
GCD of given numbers 285, 834, 249, 162 is 3
2. How to calculate the greatest common divisor of 285, 834, 249, 162?
We can find the highest common divisor of 285, 834, 249, 162 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 285, 834, 249, 162 i.e 3.
3. How can I use the GCD of 285, 834, 249, 162Calculator?
Out the numbers 285, 834, 249, 162 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.