Online GCD Calculator is useful to find the GCD of 305, 500, 484, 697 quickly. Get the easiest ways to solve the greatest common divisor of 305, 500, 484, 697 i.e 1 in different methods as follows.
Given Input numbers are 305, 500, 484, 697
In the factoring method, we have to find the divisors of all numbers
Divisors of 305 :
The positive integer divisors of 305 that completely divides 305 are.
1, 5, 61, 305
Divisors of 500 :
The positive integer divisors of 500 that completely divides 500 are.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Divisors of 484 :
The positive integer divisors of 484 that completely divides 484 are.
1, 2, 4, 11, 22, 44, 121, 242, 484
Divisors of 697 :
The positive integer divisors of 697 that completely divides 697 are.
1, 17, 41, 697
GCD of numbers is the greatest common divisor
So, the GCD (305, 500, 484, 697) = 1.
Given numbers are 305, 500, 484, 697
The list of prime factors of all numbers are
Prime factors of 305 are 5 x 61
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 484 are 2 x 2 x 11 x 11
Prime factors of 697 are 17 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 305, 500, 484, 697
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(305, 500) = 30500
GCD(305, 500) = ( 305 x 500 ) / 30500
= 305 / 500
= 305
Step2:
LCM(5, 484) = 2420
GCD(5, 484) = ( 5 x 484 ) / 2420
= 5 / 484
= 5
Step3:
LCM(1, 697) = 697
GCD(1, 697) = ( 1 x 697 ) / 697
= 1 / 697
= 1
So, Greatest Common Divisor of 305, 500, 484, 697 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 305, 500, 484, 697
The greatest common divisor of numbers 305, 500, 484, 697 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 305, 500, 484, 697 is 1.
1. What is the GCD of 305, 500, 484, 697?
GCD of given numbers 305, 500, 484, 697 is 1
2. How to calculate the greatest common divisor of 305, 500, 484, 697?
We can find the highest common divisor of 305, 500, 484, 697 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 305, 500, 484, 697 i.e 1.
3. How can I use the GCD of 305, 500, 484, 697Calculator?
Out the numbers 305, 500, 484, 697 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.