Online GCD Calculator is useful to find the GCD of 261, 721, 231, 135 quickly. Get the easiest ways to solve the greatest common divisor of 261, 721, 231, 135 i.e 1 in different methods as follows.
Given Input numbers are 261, 721, 231, 135
In the factoring method, we have to find the divisors of all numbers
Divisors of 261 :
The positive integer divisors of 261 that completely divides 261 are.
1, 3, 9, 29, 87, 261
Divisors of 721 :
The positive integer divisors of 721 that completely divides 721 are.
1, 7, 103, 721
Divisors of 231 :
The positive integer divisors of 231 that completely divides 231 are.
1, 3, 7, 11, 21, 33, 77, 231
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
GCD of numbers is the greatest common divisor
So, the GCD (261, 721, 231, 135) = 1.
Given numbers are 261, 721, 231, 135
The list of prime factors of all numbers are
Prime factors of 261 are 3 x 3 x 29
Prime factors of 721 are 7 x 103
Prime factors of 231 are 3 x 7 x 11
Prime factors of 135 are 3 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 261, 721, 231, 135
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(261, 721) = 188181
GCD(261, 721) = ( 261 x 721 ) / 188181
= 261 / 721
= 261
Step2:
LCM(1, 231) = 231
GCD(1, 231) = ( 1 x 231 ) / 231
= 1 / 231
= 1
Step3:
LCM(1, 135) = 135
GCD(1, 135) = ( 1 x 135 ) / 135
= 1 / 135
= 1
So, Greatest Common Divisor of 261, 721, 231, 135 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 261, 721, 231, 135
The greatest common divisor of numbers 261, 721, 231, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 261, 721, 231, 135 is 1.
1. What is the GCD of 261, 721, 231, 135?
GCD of given numbers 261, 721, 231, 135 is 1
2. How to calculate the greatest common divisor of 261, 721, 231, 135?
We can find the highest common divisor of 261, 721, 231, 135 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 261, 721, 231, 135 i.e 1.
3. How can I use the GCD of 261, 721, 231, 135Calculator?
Out the numbers 261, 721, 231, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.