Online GCD Calculator is useful to find the GCD of 684, 189, 348, 767 quickly. Get the easiest ways to solve the greatest common divisor of 684, 189, 348, 767 i.e 1 in different methods as follows.
Given Input numbers are 684, 189, 348, 767
In the factoring method, we have to find the divisors of all numbers
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 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 348 :
The positive integer divisors of 348 that completely divides 348 are.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
Divisors of 767 :
The positive integer divisors of 767 that completely divides 767 are.
1, 13, 59, 767
GCD of numbers is the greatest common divisor
So, the GCD (684, 189, 348, 767) = 1.
Given numbers are 684, 189, 348, 767
The list of prime factors of all numbers are
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 348 are 2 x 2 x 3 x 29
Prime factors of 767 are 13 x 59
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 684, 189, 348, 767
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(684, 189) = 14364
GCD(684, 189) = ( 684 x 189 ) / 14364
= 684 / 189
= 684
Step2:
LCM(9, 348) = 1044
GCD(9, 348) = ( 9 x 348 ) / 1044
= 9 / 348
= 9
Step3:
LCM(3, 767) = 2301
GCD(3, 767) = ( 3 x 767 ) / 2301
= 3 / 767
= 3
So, Greatest Common Divisor of 684, 189, 348, 767 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 684, 189, 348, 767
The greatest common divisor of numbers 684, 189, 348, 767 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 189, 348, 767 is 1.
1. What is the GCD of 684, 189, 348, 767?
GCD of given numbers 684, 189, 348, 767 is 1
2. How to calculate the greatest common divisor of 684, 189, 348, 767?
We can find the highest common divisor of 684, 189, 348, 767 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 684, 189, 348, 767 i.e 1.
3. How can I use the GCD of 684, 189, 348, 767Calculator?
Out the numbers 684, 189, 348, 767 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.