Online GCD Calculator is useful to find the GCD of 609, 357, 627, 814 quickly. Get the easiest ways to solve the greatest common divisor of 609, 357, 627, 814 i.e 1 in different methods as follows.
Given Input numbers are 609, 357, 627, 814
In the factoring method, we have to find the divisors of all numbers
Divisors of 609 :
The positive integer divisors of 609 that completely divides 609 are.
1, 3, 7, 21, 29, 87, 203, 609
Divisors of 357 :
The positive integer divisors of 357 that completely divides 357 are.
1, 3, 7, 17, 21, 51, 119, 357
Divisors of 627 :
The positive integer divisors of 627 that completely divides 627 are.
1, 3, 11, 19, 33, 57, 209, 627
Divisors of 814 :
The positive integer divisors of 814 that completely divides 814 are.
1, 2, 11, 22, 37, 74, 407, 814
GCD of numbers is the greatest common divisor
So, the GCD (609, 357, 627, 814) = 1.
Given numbers are 609, 357, 627, 814
The list of prime factors of all numbers are
Prime factors of 609 are 3 x 7 x 29
Prime factors of 357 are 3 x 7 x 17
Prime factors of 627 are 3 x 11 x 19
Prime factors of 814 are 2 x 11 x 37
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 609, 357, 627, 814
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(609, 357) = 10353
GCD(609, 357) = ( 609 x 357 ) / 10353
= 609 / 357
= 609
Step2:
LCM(21, 627) = 4389
GCD(21, 627) = ( 21 x 627 ) / 4389
= 21 / 627
= 21
Step3:
LCM(3, 814) = 2442
GCD(3, 814) = ( 3 x 814 ) / 2442
= 3 / 814
= 3
So, Greatest Common Divisor of 609, 357, 627, 814 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 609, 357, 627, 814
The greatest common divisor of numbers 609, 357, 627, 814 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 609, 357, 627, 814 is 1.
1. What is the GCD of 609, 357, 627, 814?
GCD of given numbers 609, 357, 627, 814 is 1
2. How to calculate the greatest common divisor of 609, 357, 627, 814?
We can find the highest common divisor of 609, 357, 627, 814 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 609, 357, 627, 814 i.e 1.
3. How can I use the GCD of 609, 357, 627, 814Calculator?
Out the numbers 609, 357, 627, 814 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.