Online GCD Calculator is useful to find the GCD of 168, 309, 216, 525 quickly. Get the easiest ways to solve the greatest common divisor of 168, 309, 216, 525 i.e 3 in different methods as follows.
Given Input numbers are 168, 309, 216, 525
In the factoring method, we have to find the divisors of all numbers
Divisors of 168 :
The positive integer divisors of 168 that completely divides 168 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 309 :
The positive integer divisors of 309 that completely divides 309 are.
1, 3, 103, 309
Divisors of 216 :
The positive integer divisors of 216 that completely divides 216 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Divisors of 525 :
The positive integer divisors of 525 that completely divides 525 are.
1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
GCD of numbers is the greatest common divisor
So, the GCD (168, 309, 216, 525) = 3.
Given numbers are 168, 309, 216, 525
The list of prime factors of all numbers are
Prime factors of 168 are 2 x 2 x 2 x 3 x 7
Prime factors of 309 are 3 x 103
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 525 are 3 x 5 x 5 x 7
The highest common occurrence is 31
Therefore, GCD of 168, 309, 216, 525 is 3.
Given numbers are 168, 309, 216, 525
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(168, 309) = 17304
GCD(168, 309) = ( 168 x 309 ) / 17304
= 168 / 309
= 168
Step2:
LCM(3, 216) = 216
GCD(3, 216) = ( 3 x 216 ) / 216
= 3 / 216
= 3
Step3:
LCM(3, 525) = 525
GCD(3, 525) = ( 3 x 525 ) / 525
= 3 / 525
= 3
So, Greatest Common Divisor of 168, 309, 216, 525 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 168, 309, 216, 525
The greatest common divisor of numbers 168, 309, 216, 525 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 168, 309, 216, 525 is 3.
1. What is the GCD of 168, 309, 216, 525?
GCD of given numbers 168, 309, 216, 525 is 3
2. How to calculate the greatest common divisor of 168, 309, 216, 525?
We can find the highest common divisor of 168, 309, 216, 525 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 168, 309, 216, 525 i.e 3.
3. How can I use the GCD of 168, 309, 216, 525Calculator?
Out the numbers 168, 309, 216, 525 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.