Online GCD Calculator is useful to find the GCD of 675, 232, 241, 272 quickly. Get the easiest ways to solve the greatest common divisor of 675, 232, 241, 272 i.e 1 in different methods as follows.
Given Input numbers are 675, 232, 241, 272
In the factoring method, we have to find the divisors of all numbers
Divisors of 675 :
The positive integer divisors of 675 that completely divides 675 are.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Divisors of 232 :
The positive integer divisors of 232 that completely divides 232 are.
1, 2, 4, 8, 29, 58, 116, 232
Divisors of 241 :
The positive integer divisors of 241 that completely divides 241 are.
1, 241
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 (675, 232, 241, 272) = 1.
Given numbers are 675, 232, 241, 272
The list of prime factors of all numbers are
Prime factors of 675 are 3 x 3 x 3 x 5 x 5
Prime factors of 232 are 2 x 2 x 2 x 29
Prime factors of 241 are 241
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 675, 232, 241, 272
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(675, 232) = 156600
GCD(675, 232) = ( 675 x 232 ) / 156600
= 675 / 232
= 675
Step2:
LCM(1, 241) = 241
GCD(1, 241) = ( 1 x 241 ) / 241
= 1 / 241
= 1
Step3:
LCM(1, 272) = 272
GCD(1, 272) = ( 1 x 272 ) / 272
= 1 / 272
= 1
So, Greatest Common Divisor of 675, 232, 241, 272 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 675, 232, 241, 272
The greatest common divisor of numbers 675, 232, 241, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 675, 232, 241, 272 is 1.
1. What is the GCD of 675, 232, 241, 272?
GCD of given numbers 675, 232, 241, 272 is 1
2. How to calculate the greatest common divisor of 675, 232, 241, 272?
We can find the highest common divisor of 675, 232, 241, 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 675, 232, 241, 272 i.e 1.
3. How can I use the GCD of 675, 232, 241, 272Calculator?
Out the numbers 675, 232, 241, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.