Online GCD Calculator is useful to find the GCD of 500, 334, 697, 494 quickly. Get the easiest ways to solve the greatest common divisor of 500, 334, 697, 494 i.e 1 in different methods as follows.
Given Input numbers are 500, 334, 697, 494
In the factoring method, we have to find the divisors of all numbers
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 334 :
The positive integer divisors of 334 that completely divides 334 are.
1, 2, 167, 334
Divisors of 697 :
The positive integer divisors of 697 that completely divides 697 are.
1, 17, 41, 697
Divisors of 494 :
The positive integer divisors of 494 that completely divides 494 are.
1, 2, 13, 19, 26, 38, 247, 494
GCD of numbers is the greatest common divisor
So, the GCD (500, 334, 697, 494) = 1.
Given numbers are 500, 334, 697, 494
The list of prime factors of all numbers are
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 334 are 2 x 167
Prime factors of 697 are 17 x 41
Prime factors of 494 are 2 x 13 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 500, 334, 697, 494
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(500, 334) = 83500
GCD(500, 334) = ( 500 x 334 ) / 83500
= 500 / 334
= 500
Step2:
LCM(2, 697) = 1394
GCD(2, 697) = ( 2 x 697 ) / 1394
= 2 / 697
= 2
Step3:
LCM(1, 494) = 494
GCD(1, 494) = ( 1 x 494 ) / 494
= 1 / 494
= 1
So, Greatest Common Divisor of 500, 334, 697, 494 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 500, 334, 697, 494
The greatest common divisor of numbers 500, 334, 697, 494 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 334, 697, 494 is 1.
1. What is the GCD of 500, 334, 697, 494?
GCD of given numbers 500, 334, 697, 494 is 1
2. How to calculate the greatest common divisor of 500, 334, 697, 494?
We can find the highest common divisor of 500, 334, 697, 494 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 500, 334, 697, 494 i.e 1.
3. How can I use the GCD of 500, 334, 697, 494Calculator?
Out the numbers 500, 334, 697, 494 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.