Online GCD Calculator is useful to find the GCD of 506, 684, 398, 691 quickly. Get the easiest ways to solve the greatest common divisor of 506, 684, 398, 691 i.e 1 in different methods as follows.
Given Input numbers are 506, 684, 398, 691
In the factoring method, we have to find the divisors of all numbers
Divisors of 506 :
The positive integer divisors of 506 that completely divides 506 are.
1, 2, 11, 22, 23, 46, 253, 506
Divisors of 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 398 :
The positive integer divisors of 398 that completely divides 398 are.
1, 2, 199, 398
Divisors of 691 :
The positive integer divisors of 691 that completely divides 691 are.
1, 691
GCD of numbers is the greatest common divisor
So, the GCD (506, 684, 398, 691) = 1.
Given numbers are 506, 684, 398, 691
The list of prime factors of all numbers are
Prime factors of 506 are 2 x 11 x 23
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 398 are 2 x 199
Prime factors of 691 are 691
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 506, 684, 398, 691
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(506, 684) = 173052
GCD(506, 684) = ( 506 x 684 ) / 173052
= 506 / 684
= 506
Step2:
LCM(2, 398) = 398
GCD(2, 398) = ( 2 x 398 ) / 398
= 2 / 398
= 2
Step3:
LCM(2, 691) = 1382
GCD(2, 691) = ( 2 x 691 ) / 1382
= 2 / 691
= 2
So, Greatest Common Divisor of 506, 684, 398, 691 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 506, 684, 398, 691
The greatest common divisor of numbers 506, 684, 398, 691 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 506, 684, 398, 691 is 1.
1. What is the GCD of 506, 684, 398, 691?
GCD of given numbers 506, 684, 398, 691 is 1
2. How to calculate the greatest common divisor of 506, 684, 398, 691?
We can find the highest common divisor of 506, 684, 398, 691 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 506, 684, 398, 691 i.e 1.
3. How can I use the GCD of 506, 684, 398, 691Calculator?
Out the numbers 506, 684, 398, 691 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.