Online GCD Calculator is useful to find the GCD of 509, 518, 775, 196 quickly. Get the easiest ways to solve the greatest common divisor of 509, 518, 775, 196 i.e 1 in different methods as follows.
Given Input numbers are 509, 518, 775, 196
In the factoring method, we have to find the divisors of all numbers
Divisors of 509 :
The positive integer divisors of 509 that completely divides 509 are.
1, 509
Divisors of 518 :
The positive integer divisors of 518 that completely divides 518 are.
1, 2, 7, 14, 37, 74, 259, 518
Divisors of 775 :
The positive integer divisors of 775 that completely divides 775 are.
1, 5, 25, 31, 155, 775
Divisors of 196 :
The positive integer divisors of 196 that completely divides 196 are.
1, 2, 4, 7, 14, 28, 49, 98, 196
GCD of numbers is the greatest common divisor
So, the GCD (509, 518, 775, 196) = 1.
Given numbers are 509, 518, 775, 196
The list of prime factors of all numbers are
Prime factors of 509 are 509
Prime factors of 518 are 2 x 7 x 37
Prime factors of 775 are 5 x 5 x 31
Prime factors of 196 are 2 x 2 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 509, 518, 775, 196
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(509, 518) = 263662
GCD(509, 518) = ( 509 x 518 ) / 263662
= 509 / 518
= 509
Step2:
LCM(1, 775) = 775
GCD(1, 775) = ( 1 x 775 ) / 775
= 1 / 775
= 1
Step3:
LCM(1, 196) = 196
GCD(1, 196) = ( 1 x 196 ) / 196
= 1 / 196
= 1
So, Greatest Common Divisor of 509, 518, 775, 196 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 509, 518, 775, 196
The greatest common divisor of numbers 509, 518, 775, 196 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 509, 518, 775, 196 is 1.
1. What is the GCD of 509, 518, 775, 196?
GCD of given numbers 509, 518, 775, 196 is 1
2. How to calculate the greatest common divisor of 509, 518, 775, 196?
We can find the highest common divisor of 509, 518, 775, 196 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 509, 518, 775, 196 i.e 1.
3. How can I use the GCD of 509, 518, 775, 196Calculator?
Out the numbers 509, 518, 775, 196 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.