Online GCD Calculator is useful to find the GCD of 318, 206, 718, 724 quickly. Get the easiest ways to solve the greatest common divisor of 318, 206, 718, 724 i.e 2 in different methods as follows.
Given Input numbers are 318, 206, 718, 724
In the factoring method, we have to find the divisors of all numbers
Divisors of 318 :
The positive integer divisors of 318 that completely divides 318 are.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 206 :
The positive integer divisors of 206 that completely divides 206 are.
1, 2, 103, 206
Divisors of 718 :
The positive integer divisors of 718 that completely divides 718 are.
1, 2, 359, 718
Divisors of 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
GCD of numbers is the greatest common divisor
So, the GCD (318, 206, 718, 724) = 2.
Given numbers are 318, 206, 718, 724
The list of prime factors of all numbers are
Prime factors of 318 are 2 x 3 x 53
Prime factors of 206 are 2 x 103
Prime factors of 718 are 2 x 359
Prime factors of 724 are 2 x 2 x 181
The highest common occurrence is 21
Therefore, GCD of 318, 206, 718, 724 is 2.
Given numbers are 318, 206, 718, 724
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(318, 206) = 32754
GCD(318, 206) = ( 318 x 206 ) / 32754
= 318 / 206
= 318
Step2:
LCM(2, 718) = 718
GCD(2, 718) = ( 2 x 718 ) / 718
= 2 / 718
= 2
Step3:
LCM(2, 724) = 724
GCD(2, 724) = ( 2 x 724 ) / 724
= 2 / 724
= 2
So, Greatest Common Divisor of 318, 206, 718, 724 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 318, 206, 718, 724
The greatest common divisor of numbers 318, 206, 718, 724 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 318, 206, 718, 724 is 2.
1. What is the GCD of 318, 206, 718, 724?
GCD of given numbers 318, 206, 718, 724 is 2
2. How to calculate the greatest common divisor of 318, 206, 718, 724?
We can find the highest common divisor of 318, 206, 718, 724 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 318, 206, 718, 724 i.e 2.
3. How can I use the GCD of 318, 206, 718, 724Calculator?
Out the numbers 318, 206, 718, 724 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.