Online GCD Calculator is useful to find the GCD of 270, 333, 337, 749 quickly. Get the easiest ways to solve the greatest common divisor of 270, 333, 337, 749 i.e 1 in different methods as follows.
Given Input numbers are 270, 333, 337, 749
In the factoring method, we have to find the divisors of all numbers
Divisors of 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 333 :
The positive integer divisors of 333 that completely divides 333 are.
1, 3, 9, 37, 111, 333
Divisors of 337 :
The positive integer divisors of 337 that completely divides 337 are.
1, 337
Divisors of 749 :
The positive integer divisors of 749 that completely divides 749 are.
1, 7, 107, 749
GCD of numbers is the greatest common divisor
So, the GCD (270, 333, 337, 749) = 1.
Given numbers are 270, 333, 337, 749
The list of prime factors of all numbers are
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 333 are 3 x 3 x 37
Prime factors of 337 are 337
Prime factors of 749 are 7 x 107
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 270, 333, 337, 749
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(270, 333) = 9990
GCD(270, 333) = ( 270 x 333 ) / 9990
= 270 / 333
= 270
Step2:
LCM(9, 337) = 3033
GCD(9, 337) = ( 9 x 337 ) / 3033
= 9 / 337
= 9
Step3:
LCM(1, 749) = 749
GCD(1, 749) = ( 1 x 749 ) / 749
= 1 / 749
= 1
So, Greatest Common Divisor of 270, 333, 337, 749 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 270, 333, 337, 749
The greatest common divisor of numbers 270, 333, 337, 749 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 333, 337, 749 is 1.
1. What is the GCD of 270, 333, 337, 749?
GCD of given numbers 270, 333, 337, 749 is 1
2. How to calculate the greatest common divisor of 270, 333, 337, 749?
We can find the highest common divisor of 270, 333, 337, 749 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 270, 333, 337, 749 i.e 1.
3. How can I use the GCD of 270, 333, 337, 749Calculator?
Out the numbers 270, 333, 337, 749 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.