Online GCD Calculator is useful to find the GCD of 540, 729, 602, 238 quickly. Get the easiest ways to solve the greatest common divisor of 540, 729, 602, 238 i.e 1 in different methods as follows.
Given Input numbers are 540, 729, 602, 238
In the factoring method, we have to find the divisors of all numbers
Divisors of 540 :
The positive integer divisors of 540 that completely divides 540 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Divisors of 729 :
The positive integer divisors of 729 that completely divides 729 are.
1, 3, 9, 27, 81, 243, 729
Divisors of 602 :
The positive integer divisors of 602 that completely divides 602 are.
1, 2, 7, 14, 43, 86, 301, 602
Divisors of 238 :
The positive integer divisors of 238 that completely divides 238 are.
1, 2, 7, 14, 17, 34, 119, 238
GCD of numbers is the greatest common divisor
So, the GCD (540, 729, 602, 238) = 1.
Given numbers are 540, 729, 602, 238
The list of prime factors of all numbers are
Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5
Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3
Prime factors of 602 are 2 x 7 x 43
Prime factors of 238 are 2 x 7 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 540, 729, 602, 238
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(540, 729) = 14580
GCD(540, 729) = ( 540 x 729 ) / 14580
= 540 / 729
= 540
Step2:
LCM(27, 602) = 16254
GCD(27, 602) = ( 27 x 602 ) / 16254
= 27 / 602
= 27
Step3:
LCM(1, 238) = 238
GCD(1, 238) = ( 1 x 238 ) / 238
= 1 / 238
= 1
So, Greatest Common Divisor of 540, 729, 602, 238 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 540, 729, 602, 238
The greatest common divisor of numbers 540, 729, 602, 238 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 540, 729, 602, 238 is 1.
1. What is the GCD of 540, 729, 602, 238?
GCD of given numbers 540, 729, 602, 238 is 1
2. How to calculate the greatest common divisor of 540, 729, 602, 238?
We can find the highest common divisor of 540, 729, 602, 238 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 540, 729, 602, 238 i.e 1.
3. How can I use the GCD of 540, 729, 602, 238Calculator?
Out the numbers 540, 729, 602, 238 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.