Online GCD Calculator is useful to find the GCD of 135, 171, 111, 290 quickly. Get the easiest ways to solve the greatest common divisor of 135, 171, 111, 290 i.e 1 in different methods as follows.
Given Input numbers are 135, 171, 111, 290
In the factoring method, we have to find the divisors of all numbers
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 171 :
The positive integer divisors of 171 that completely divides 171 are.
1, 3, 9, 19, 57, 171
Divisors of 111 :
The positive integer divisors of 111 that completely divides 111 are.
1, 3, 37, 111
Divisors of 290 :
The positive integer divisors of 290 that completely divides 290 are.
1, 2, 5, 10, 29, 58, 145, 290
GCD of numbers is the greatest common divisor
So, the GCD (135, 171, 111, 290) = 1.
Given numbers are 135, 171, 111, 290
The list of prime factors of all numbers are
Prime factors of 135 are 3 x 3 x 3 x 5
Prime factors of 171 are 3 x 3 x 19
Prime factors of 111 are 3 x 37
Prime factors of 290 are 2 x 5 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 135, 171, 111, 290
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(135, 171) = 2565
GCD(135, 171) = ( 135 x 171 ) / 2565
= 135 / 171
= 135
Step2:
LCM(9, 111) = 333
GCD(9, 111) = ( 9 x 111 ) / 333
= 9 / 111
= 9
Step3:
LCM(3, 290) = 870
GCD(3, 290) = ( 3 x 290 ) / 870
= 3 / 290
= 3
So, Greatest Common Divisor of 135, 171, 111, 290 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 135, 171, 111, 290
The greatest common divisor of numbers 135, 171, 111, 290 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 171, 111, 290 is 1.
1. What is the GCD of 135, 171, 111, 290?
GCD of given numbers 135, 171, 111, 290 is 1
2. How to calculate the greatest common divisor of 135, 171, 111, 290?
We can find the highest common divisor of 135, 171, 111, 290 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 135, 171, 111, 290 i.e 1.
3. How can I use the GCD of 135, 171, 111, 290Calculator?
Out the numbers 135, 171, 111, 290 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.