Online GCD Calculator is useful to find the GCD of 135, 431, 316, 918 quickly. Get the easiest ways to solve the greatest common divisor of 135, 431, 316, 918 i.e 1 in different methods as follows.
Given Input numbers are 135, 431, 316, 918
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 431 :
The positive integer divisors of 431 that completely divides 431 are.
1, 431
Divisors of 316 :
The positive integer divisors of 316 that completely divides 316 are.
1, 2, 4, 79, 158, 316
Divisors of 918 :
The positive integer divisors of 918 that completely divides 918 are.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
GCD of numbers is the greatest common divisor
So, the GCD (135, 431, 316, 918) = 1.
Given numbers are 135, 431, 316, 918
The list of prime factors of all numbers are
Prime factors of 135 are 3 x 3 x 3 x 5
Prime factors of 431 are 431
Prime factors of 316 are 2 x 2 x 79
Prime factors of 918 are 2 x 3 x 3 x 3 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 135, 431, 316, 918
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(135, 431) = 58185
GCD(135, 431) = ( 135 x 431 ) / 58185
= 135 / 431
= 135
Step2:
LCM(1, 316) = 316
GCD(1, 316) = ( 1 x 316 ) / 316
= 1 / 316
= 1
Step3:
LCM(1, 918) = 918
GCD(1, 918) = ( 1 x 918 ) / 918
= 1 / 918
= 1
So, Greatest Common Divisor of 135, 431, 316, 918 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 135, 431, 316, 918
The greatest common divisor of numbers 135, 431, 316, 918 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 431, 316, 918 is 1.
1. What is the GCD of 135, 431, 316, 918?
GCD of given numbers 135, 431, 316, 918 is 1
2. How to calculate the greatest common divisor of 135, 431, 316, 918?
We can find the highest common divisor of 135, 431, 316, 918 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, 431, 316, 918 i.e 1.
3. How can I use the GCD of 135, 431, 316, 918Calculator?
Out the numbers 135, 431, 316, 918 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.