Online GCD Calculator is useful to find the GCD of 272, 612, 323 quickly. Get the easiest ways to solve the greatest common divisor of 272, 612, 323 i.e 17 in different methods as follows.
Given Input numbers are 272, 612, 323
In the factoring method, we have to find the divisors of all numbers
Divisors of 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Divisors of 612 :
The positive integer divisors of 612 that completely divides 612 are.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Divisors of 323 :
The positive integer divisors of 323 that completely divides 323 are.
1, 17, 19, 323
GCD of numbers is the greatest common divisor
So, the GCD (272, 612, 323) = 17.
Given numbers are 272, 612, 323
The list of prime factors of all numbers are
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
Prime factors of 612 are 2 x 2 x 3 x 3 x 17
Prime factors of 323 are 17 x 19
The highest common occurrence is 171
Therefore, GCD of 272, 612, 323 is 17.
Given numbers are 272, 612, 323
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(272, 612) = 2448
GCD(272, 612) = ( 272 x 612 ) / 2448
= 272 / 612
= 272
Step2:
LCM(68, 323) = 1292
GCD(68, 323) = ( 68 x 323 ) / 1292
= 68 / 323
= 68
So, Greatest Common Divisor of 272, 612, 323 is 17
Here are some samples of GCD of Numbers calculations.
Given numbers are 272, 612, 323
The greatest common divisor of numbers 272, 612, 323 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 612, 323 is 17.
1. What is the GCD of 272, 612, 323?
GCD of given numbers 272, 612, 323 is 17
2. How to calculate the greatest common divisor of 272, 612, 323?
We can find the highest common divisor of 272, 612, 323 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 272, 612, 323 i.e 17.
3. How can I use the GCD of 272, 612, 323Calculator?
Out the numbers 272, 612, 323 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.