Online GCD Calculator is useful to find the GCD of 513, 779, 343, 680 quickly. Get the easiest ways to solve the greatest common divisor of 513, 779, 343, 680 i.e 1 in different methods as follows.
Given Input numbers are 513, 779, 343, 680
In the factoring method, we have to find the divisors of all numbers
Divisors of 513 :
The positive integer divisors of 513 that completely divides 513 are.
1, 3, 9, 19, 27, 57, 171, 513
Divisors of 779 :
The positive integer divisors of 779 that completely divides 779 are.
1, 19, 41, 779
Divisors of 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
Divisors of 680 :
The positive integer divisors of 680 that completely divides 680 are.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
GCD of numbers is the greatest common divisor
So, the GCD (513, 779, 343, 680) = 1.
Given numbers are 513, 779, 343, 680
The list of prime factors of all numbers are
Prime factors of 513 are 3 x 3 x 3 x 19
Prime factors of 779 are 19 x 41
Prime factors of 343 are 7 x 7 x 7
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 513, 779, 343, 680
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(513, 779) = 21033
GCD(513, 779) = ( 513 x 779 ) / 21033
= 513 / 779
= 513
Step2:
LCM(19, 343) = 6517
GCD(19, 343) = ( 19 x 343 ) / 6517
= 19 / 343
= 19
Step3:
LCM(1, 680) = 680
GCD(1, 680) = ( 1 x 680 ) / 680
= 1 / 680
= 1
So, Greatest Common Divisor of 513, 779, 343, 680 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 513, 779, 343, 680
The greatest common divisor of numbers 513, 779, 343, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 513, 779, 343, 680 is 1.
1. What is the GCD of 513, 779, 343, 680?
GCD of given numbers 513, 779, 343, 680 is 1
2. How to calculate the greatest common divisor of 513, 779, 343, 680?
We can find the highest common divisor of 513, 779, 343, 680 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 513, 779, 343, 680 i.e 1.
3. How can I use the GCD of 513, 779, 343, 680Calculator?
Out the numbers 513, 779, 343, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.