Online GCD Calculator is useful to find the GCD of 152, 309, 498, 272 quickly. Get the easiest ways to solve the greatest common divisor of 152, 309, 498, 272 i.e 1 in different methods as follows.
Given Input numbers are 152, 309, 498, 272
In the factoring method, we have to find the divisors of all numbers
Divisors of 152 :
The positive integer divisors of 152 that completely divides 152 are.
1, 2, 4, 8, 19, 38, 76, 152
Divisors of 309 :
The positive integer divisors of 309 that completely divides 309 are.
1, 3, 103, 309
Divisors of 498 :
The positive integer divisors of 498 that completely divides 498 are.
1, 2, 3, 6, 83, 166, 249, 498
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 (152, 309, 498, 272) = 1.
Given numbers are 152, 309, 498, 272
The list of prime factors of all numbers are
Prime factors of 152 are 2 x 2 x 2 x 19
Prime factors of 309 are 3 x 103
Prime factors of 498 are 2 x 3 x 83
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 152, 309, 498, 272
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(152, 309) = 46968
GCD(152, 309) = ( 152 x 309 ) / 46968
= 152 / 309
= 152
Step2:
LCM(1, 498) = 498
GCD(1, 498) = ( 1 x 498 ) / 498
= 1 / 498
= 1
Step3:
LCM(1, 272) = 272
GCD(1, 272) = ( 1 x 272 ) / 272
= 1 / 272
= 1
So, Greatest Common Divisor of 152, 309, 498, 272 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 152, 309, 498, 272
The greatest common divisor of numbers 152, 309, 498, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 152, 309, 498, 272 is 1.
1. What is the GCD of 152, 309, 498, 272?
GCD of given numbers 152, 309, 498, 272 is 1
2. How to calculate the greatest common divisor of 152, 309, 498, 272?
We can find the highest common divisor of 152, 309, 498, 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 152, 309, 498, 272 i.e 1.
3. How can I use the GCD of 152, 309, 498, 272Calculator?
Out the numbers 152, 309, 498, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.