Online GCD Calculator is useful to find the GCD of 153, 510, 646, 272 quickly. Get the easiest ways to solve the greatest common divisor of 153, 510, 646, 272 i.e 17 in different methods as follows.
Given Input numbers are 153, 510, 646, 272
In the factoring method, we have to find the divisors of all numbers
Divisors of 153 :
The positive integer divisors of 153 that completely divides 153 are.
1, 3, 9, 17, 51, 153
Divisors of 510 :
The positive integer divisors of 510 that completely divides 510 are.
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
Divisors of 646 :
The positive integer divisors of 646 that completely divides 646 are.
1, 2, 17, 19, 34, 38, 323, 646
Divisors of 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
GCD of numbers is the greatest common divisor
So, the GCD (153, 510, 646, 272) = 17.
Given numbers are 153, 510, 646, 272
The list of prime factors of all numbers are
Prime factors of 153 are 3 x 3 x 17
Prime factors of 510 are 2 x 3 x 5 x 17
Prime factors of 646 are 2 x 17 x 19
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
The highest common occurrence is 171
Therefore, GCD of 153, 510, 646, 272 is 17.
Given numbers are 153, 510, 646, 272
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(153, 510) = 1530
GCD(153, 510) = ( 153 x 510 ) / 1530
= 153 / 510
= 153
Step2:
LCM(51, 646) = 1938
GCD(51, 646) = ( 51 x 646 ) / 1938
= 51 / 646
= 51
Step3:
LCM(17, 272) = 272
GCD(17, 272) = ( 17 x 272 ) / 272
= 17 / 272
= 17
So, Greatest Common Divisor of 153, 510, 646, 272 is 17
Here are some samples of GCD of Numbers calculations.
Given numbers are 153, 510, 646, 272
The greatest common divisor of numbers 153, 510, 646, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 153, 510, 646, 272 is 17.
1. What is the GCD of 153, 510, 646, 272?
GCD of given numbers 153, 510, 646, 272 is 17
2. How to calculate the greatest common divisor of 153, 510, 646, 272?
We can find the highest common divisor of 153, 510, 646, 272 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 153, 510, 646, 272 i.e 17.
3. How can I use the GCD of 153, 510, 646, 272Calculator?
Out the numbers 153, 510, 646, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.