Online GCD Calculator is useful to find the GCD of 682, 539, 309, 428 quickly. Get the easiest ways to solve the greatest common divisor of 682, 539, 309, 428 i.e 1 in different methods as follows.
Given Input numbers are 682, 539, 309, 428
In the factoring method, we have to find the divisors of all numbers
Divisors of 682 :
The positive integer divisors of 682 that completely divides 682 are.
1, 2, 11, 22, 31, 62, 341, 682
Divisors of 539 :
The positive integer divisors of 539 that completely divides 539 are.
1, 7, 11, 49, 77, 539
Divisors of 309 :
The positive integer divisors of 309 that completely divides 309 are.
1, 3, 103, 309
Divisors of 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
GCD of numbers is the greatest common divisor
So, the GCD (682, 539, 309, 428) = 1.
Given numbers are 682, 539, 309, 428
The list of prime factors of all numbers are
Prime factors of 682 are 2 x 11 x 31
Prime factors of 539 are 7 x 7 x 11
Prime factors of 309 are 3 x 103
Prime factors of 428 are 2 x 2 x 107
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 682, 539, 309, 428
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(682, 539) = 33418
GCD(682, 539) = ( 682 x 539 ) / 33418
= 682 / 539
= 682
Step2:
LCM(11, 309) = 3399
GCD(11, 309) = ( 11 x 309 ) / 3399
= 11 / 309
= 11
Step3:
LCM(1, 428) = 428
GCD(1, 428) = ( 1 x 428 ) / 428
= 1 / 428
= 1
So, Greatest Common Divisor of 682, 539, 309, 428 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 682, 539, 309, 428
The greatest common divisor of numbers 682, 539, 309, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 682, 539, 309, 428 is 1.
1. What is the GCD of 682, 539, 309, 428?
GCD of given numbers 682, 539, 309, 428 is 1
2. How to calculate the greatest common divisor of 682, 539, 309, 428?
We can find the highest common divisor of 682, 539, 309, 428 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 682, 539, 309, 428 i.e 1.
3. How can I use the GCD of 682, 539, 309, 428Calculator?
Out the numbers 682, 539, 309, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.