Online GCD Calculator is useful to find the GCD of 510, 369, 986, 133 quickly. Get the easiest ways to solve the greatest common divisor of 510, 369, 986, 133 i.e 1 in different methods as follows.
Given Input numbers are 510, 369, 986, 133
In the factoring method, we have to find the divisors of all numbers
Divisors of 510 :
The positive integer divisors of 510 that completely divides 510 are.
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
Divisors of 369 :
The positive integer divisors of 369 that completely divides 369 are.
1, 3, 9, 41, 123, 369
Divisors of 986 :
The positive integer divisors of 986 that completely divides 986 are.
1, 2, 17, 29, 34, 58, 493, 986
Divisors of 133 :
The positive integer divisors of 133 that completely divides 133 are.
1, 7, 19, 133
GCD of numbers is the greatest common divisor
So, the GCD (510, 369, 986, 133) = 1.
Given numbers are 510, 369, 986, 133
The list of prime factors of all numbers are
Prime factors of 510 are 2 x 3 x 5 x 17
Prime factors of 369 are 3 x 3 x 41
Prime factors of 986 are 2 x 17 x 29
Prime factors of 133 are 7 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 510, 369, 986, 133
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(510, 369) = 62730
GCD(510, 369) = ( 510 x 369 ) / 62730
= 510 / 369
= 510
Step2:
LCM(3, 986) = 2958
GCD(3, 986) = ( 3 x 986 ) / 2958
= 3 / 986
= 3
Step3:
LCM(1, 133) = 133
GCD(1, 133) = ( 1 x 133 ) / 133
= 1 / 133
= 1
So, Greatest Common Divisor of 510, 369, 986, 133 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 510, 369, 986, 133
The greatest common divisor of numbers 510, 369, 986, 133 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 510, 369, 986, 133 is 1.
1. What is the GCD of 510, 369, 986, 133?
GCD of given numbers 510, 369, 986, 133 is 1
2. How to calculate the greatest common divisor of 510, 369, 986, 133?
We can find the highest common divisor of 510, 369, 986, 133 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 510, 369, 986, 133 i.e 1.
3. How can I use the GCD of 510, 369, 986, 133Calculator?
Out the numbers 510, 369, 986, 133 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.