Online GCD Calculator is useful to find the GCD of 271, 289, 348, 135 quickly. Get the easiest ways to solve the greatest common divisor of 271, 289, 348, 135 i.e 1 in different methods as follows.
Given Input numbers are 271, 289, 348, 135
In the factoring method, we have to find the divisors of all numbers
Divisors of 271 :
The positive integer divisors of 271 that completely divides 271 are.
1, 271
Divisors of 289 :
The positive integer divisors of 289 that completely divides 289 are.
1, 17, 289
Divisors of 348 :
The positive integer divisors of 348 that completely divides 348 are.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
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 (271, 289, 348, 135) = 1.
Given numbers are 271, 289, 348, 135
The list of prime factors of all numbers are
Prime factors of 271 are 271
Prime factors of 289 are 17 x 17
Prime factors of 348 are 2 x 2 x 3 x 29
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 271, 289, 348, 135
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(271, 289) = 78319
GCD(271, 289) = ( 271 x 289 ) / 78319
= 271 / 289
= 271
Step2:
LCM(1, 348) = 348
GCD(1, 348) = ( 1 x 348 ) / 348
= 1 / 348
= 1
Step3:
LCM(1, 135) = 135
GCD(1, 135) = ( 1 x 135 ) / 135
= 1 / 135
= 1
So, Greatest Common Divisor of 271, 289, 348, 135 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 271, 289, 348, 135
The greatest common divisor of numbers 271, 289, 348, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 271, 289, 348, 135 is 1.
1. What is the GCD of 271, 289, 348, 135?
GCD of given numbers 271, 289, 348, 135 is 1
2. How to calculate the greatest common divisor of 271, 289, 348, 135?
We can find the highest common divisor of 271, 289, 348, 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 271, 289, 348, 135 i.e 1.
3. How can I use the GCD of 271, 289, 348, 135Calculator?
Out the numbers 271, 289, 348, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.