Online GCD Calculator is useful to find the GCD of 318, 520, 716, 480 quickly. Get the easiest ways to solve the greatest common divisor of 318, 520, 716, 480 i.e 2 in different methods as follows.
Given Input numbers are 318, 520, 716, 480
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 520 :
The positive integer divisors of 520 that completely divides 520 are.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Divisors of 716 :
The positive integer divisors of 716 that completely divides 716 are.
1, 2, 4, 179, 358, 716
Divisors of 480 :
The positive integer divisors of 480 that completely divides 480 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
GCD of numbers is the greatest common divisor
So, the GCD (318, 520, 716, 480) = 2.
Given numbers are 318, 520, 716, 480
The list of prime factors of all numbers are
Prime factors of 318 are 2 x 3 x 53
Prime factors of 520 are 2 x 2 x 2 x 5 x 13
Prime factors of 716 are 2 x 2 x 179
Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5
The highest common occurrence is 21
Therefore, GCD of 318, 520, 716, 480 is 2.
Given numbers are 318, 520, 716, 480
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(318, 520) = 82680
GCD(318, 520) = ( 318 x 520 ) / 82680
= 318 / 520
= 318
Step2:
LCM(2, 716) = 716
GCD(2, 716) = ( 2 x 716 ) / 716
= 2 / 716
= 2
Step3:
LCM(2, 480) = 480
GCD(2, 480) = ( 2 x 480 ) / 480
= 2 / 480
= 2
So, Greatest Common Divisor of 318, 520, 716, 480 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 318, 520, 716, 480
The greatest common divisor of numbers 318, 520, 716, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 318, 520, 716, 480 is 2.
1. What is the GCD of 318, 520, 716, 480?
GCD of given numbers 318, 520, 716, 480 is 2
2. How to calculate the greatest common divisor of 318, 520, 716, 480?
We can find the highest common divisor of 318, 520, 716, 480 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, 520, 716, 480 i.e 2.
3. How can I use the GCD of 318, 520, 716, 480Calculator?
Out the numbers 318, 520, 716, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.