Online GCD Calculator is useful to find the GCD of 726, 121, 219, 135 quickly. Get the easiest ways to solve the greatest common divisor of 726, 121, 219, 135 i.e 1 in different methods as follows.
Given Input numbers are 726, 121, 219, 135
In the factoring method, we have to find the divisors of all numbers
Divisors of 726 :
The positive integer divisors of 726 that completely divides 726 are.
1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
Divisors of 121 :
The positive integer divisors of 121 that completely divides 121 are.
1, 11, 121
Divisors of 219 :
The positive integer divisors of 219 that completely divides 219 are.
1, 3, 73, 219
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 (726, 121, 219, 135) = 1.
Given numbers are 726, 121, 219, 135
The list of prime factors of all numbers are
Prime factors of 726 are 2 x 3 x 11 x 11
Prime factors of 121 are 11 x 11
Prime factors of 219 are 3 x 73
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 726, 121, 219, 135
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(726, 121) = 726
GCD(726, 121) = ( 726 x 121 ) / 726
= 726 / 121
= 726
Step2:
LCM(121, 219) = 26499
GCD(121, 219) = ( 121 x 219 ) / 26499
= 121 / 219
= 121
Step3:
LCM(1, 135) = 135
GCD(1, 135) = ( 1 x 135 ) / 135
= 1 / 135
= 1
So, Greatest Common Divisor of 726, 121, 219, 135 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 726, 121, 219, 135
The greatest common divisor of numbers 726, 121, 219, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 726, 121, 219, 135 is 1.
1. What is the GCD of 726, 121, 219, 135?
GCD of given numbers 726, 121, 219, 135 is 1
2. How to calculate the greatest common divisor of 726, 121, 219, 135?
We can find the highest common divisor of 726, 121, 219, 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 726, 121, 219, 135 i.e 1.
3. How can I use the GCD of 726, 121, 219, 135Calculator?
Out the numbers 726, 121, 219, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.