Online GCD Calculator is useful to find the GCD of 694, 508, 204, 231 quickly. Get the easiest ways to solve the greatest common divisor of 694, 508, 204, 231 i.e 1 in different methods as follows.
Given Input numbers are 694, 508, 204, 231
In the factoring method, we have to find the divisors of all numbers
Divisors of 694 :
The positive integer divisors of 694 that completely divides 694 are.
1, 2, 347, 694
Divisors of 508 :
The positive integer divisors of 508 that completely divides 508 are.
1, 2, 4, 127, 254, 508
Divisors of 204 :
The positive integer divisors of 204 that completely divides 204 are.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
Divisors of 231 :
The positive integer divisors of 231 that completely divides 231 are.
1, 3, 7, 11, 21, 33, 77, 231
GCD of numbers is the greatest common divisor
So, the GCD (694, 508, 204, 231) = 1.
Given numbers are 694, 508, 204, 231
The list of prime factors of all numbers are
Prime factors of 694 are 2 x 347
Prime factors of 508 are 2 x 2 x 127
Prime factors of 204 are 2 x 2 x 3 x 17
Prime factors of 231 are 3 x 7 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 694, 508, 204, 231
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(694, 508) = 176276
GCD(694, 508) = ( 694 x 508 ) / 176276
= 694 / 508
= 694
Step2:
LCM(2, 204) = 204
GCD(2, 204) = ( 2 x 204 ) / 204
= 2 / 204
= 2
Step3:
LCM(2, 231) = 462
GCD(2, 231) = ( 2 x 231 ) / 462
= 2 / 231
= 2
So, Greatest Common Divisor of 694, 508, 204, 231 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 694, 508, 204, 231
The greatest common divisor of numbers 694, 508, 204, 231 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 694, 508, 204, 231 is 1.
1. What is the GCD of 694, 508, 204, 231?
GCD of given numbers 694, 508, 204, 231 is 1
2. How to calculate the greatest common divisor of 694, 508, 204, 231?
We can find the highest common divisor of 694, 508, 204, 231 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 694, 508, 204, 231 i.e 1.
3. How can I use the GCD of 694, 508, 204, 231Calculator?
Out the numbers 694, 508, 204, 231 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.