Online GCD Calculator is useful to find the GCD of 520, 484, 780, 686 quickly. Get the easiest ways to solve the greatest common divisor of 520, 484, 780, 686 i.e 2 in different methods as follows.
Given Input numbers are 520, 484, 780, 686
In the factoring method, we have to find the divisors of all numbers
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 484 :
The positive integer divisors of 484 that completely divides 484 are.
1, 2, 4, 11, 22, 44, 121, 242, 484
Divisors of 780 :
The positive integer divisors of 780 that completely divides 780 are.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Divisors of 686 :
The positive integer divisors of 686 that completely divides 686 are.
1, 2, 7, 14, 49, 98, 343, 686
GCD of numbers is the greatest common divisor
So, the GCD (520, 484, 780, 686) = 2.
Given numbers are 520, 484, 780, 686
The list of prime factors of all numbers are
Prime factors of 520 are 2 x 2 x 2 x 5 x 13
Prime factors of 484 are 2 x 2 x 11 x 11
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
Prime factors of 686 are 2 x 7 x 7 x 7
The highest common occurrence is 21
Therefore, GCD of 520, 484, 780, 686 is 2.
Given numbers are 520, 484, 780, 686
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(520, 484) = 62920
GCD(520, 484) = ( 520 x 484 ) / 62920
= 520 / 484
= 520
Step2:
LCM(4, 780) = 780
GCD(4, 780) = ( 4 x 780 ) / 780
= 4 / 780
= 4
Step3:
LCM(4, 686) = 1372
GCD(4, 686) = ( 4 x 686 ) / 1372
= 4 / 686
= 4
So, Greatest Common Divisor of 520, 484, 780, 686 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 520, 484, 780, 686
The greatest common divisor of numbers 520, 484, 780, 686 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 520, 484, 780, 686 is 2.
1. What is the GCD of 520, 484, 780, 686?
GCD of given numbers 520, 484, 780, 686 is 2
2. How to calculate the greatest common divisor of 520, 484, 780, 686?
We can find the highest common divisor of 520, 484, 780, 686 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 520, 484, 780, 686 i.e 2.
3. How can I use the GCD of 520, 484, 780, 686Calculator?
Out the numbers 520, 484, 780, 686 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.