Online GCD Calculator is useful to find the GCD of 500, 696, 318, 369 quickly. Get the easiest ways to solve the greatest common divisor of 500, 696, 318, 369 i.e 1 in different methods as follows.
Given Input numbers are 500, 696, 318, 369
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 696 :
The positive integer divisors of 696 that completely divides 696 are.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 318 :
The positive integer divisors of 318 that completely divides 318 are.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 369 :
The positive integer divisors of 369 that completely divides 369 are.
1, 3, 9, 41, 123, 369
GCD of numbers is the greatest common divisor
So, the GCD (500, 696, 318, 369) = 1.
Given numbers are 500, 696, 318, 369
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 696 are 2 x 2 x 2 x 3 x 29
Prime factors of 318 are 2 x 3 x 53
Prime factors of 369 are 3 x 3 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 500, 696, 318, 369
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(500, 696) = 87000
GCD(500, 696) = ( 500 x 696 ) / 87000
= 500 / 696
= 500
Step2:
LCM(4, 318) = 636
GCD(4, 318) = ( 4 x 318 ) / 636
= 4 / 318
= 4
Step3:
LCM(2, 369) = 738
GCD(2, 369) = ( 2 x 369 ) / 738
= 2 / 369
= 2
So, Greatest Common Divisor of 500, 696, 318, 369 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 500, 696, 318, 369
The greatest common divisor of numbers 500, 696, 318, 369 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 696, 318, 369 is 1.
1. What is the GCD of 500, 696, 318, 369?
GCD of given numbers 500, 696, 318, 369 is 1
2. How to calculate the greatest common divisor of 500, 696, 318, 369?
We can find the highest common divisor of 500, 696, 318, 369 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, 696, 318, 369 i.e 1.
3. How can I use the GCD of 500, 696, 318, 369Calculator?
Out the numbers 500, 696, 318, 369 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.