Online GCD Calculator is useful to find the GCD of 506, 131, 193, 135 quickly. Get the easiest ways to solve the greatest common divisor of 506, 131, 193, 135 i.e 1 in different methods as follows.
Given Input numbers are 506, 131, 193, 135
In the factoring method, we have to find the divisors of all numbers
Divisors of 506 :
The positive integer divisors of 506 that completely divides 506 are.
1, 2, 11, 22, 23, 46, 253, 506
Divisors of 131 :
The positive integer divisors of 131 that completely divides 131 are.
1, 131
Divisors of 193 :
The positive integer divisors of 193 that completely divides 193 are.
1, 193
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 (506, 131, 193, 135) = 1.
Given numbers are 506, 131, 193, 135
The list of prime factors of all numbers are
Prime factors of 506 are 2 x 11 x 23
Prime factors of 131 are 131
Prime factors of 193 are 193
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 506, 131, 193, 135
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(506, 131) = 66286
GCD(506, 131) = ( 506 x 131 ) / 66286
= 506 / 131
= 506
Step2:
LCM(1, 193) = 193
GCD(1, 193) = ( 1 x 193 ) / 193
= 1 / 193
= 1
Step3:
LCM(1, 135) = 135
GCD(1, 135) = ( 1 x 135 ) / 135
= 1 / 135
= 1
So, Greatest Common Divisor of 506, 131, 193, 135 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 506, 131, 193, 135
The greatest common divisor of numbers 506, 131, 193, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 506, 131, 193, 135 is 1.
1. What is the GCD of 506, 131, 193, 135?
GCD of given numbers 506, 131, 193, 135 is 1
2. How to calculate the greatest common divisor of 506, 131, 193, 135?
We can find the highest common divisor of 506, 131, 193, 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 506, 131, 193, 135 i.e 1.
3. How can I use the GCD of 506, 131, 193, 135Calculator?
Out the numbers 506, 131, 193, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.