Online GCD Calculator is useful to find the GCD of 969, 324, 766, 684 quickly. Get the easiest ways to solve the greatest common divisor of 969, 324, 766, 684 i.e 1 in different methods as follows.
Given Input numbers are 969, 324, 766, 684
In the factoring method, we have to find the divisors of all numbers
Divisors of 969 :
The positive integer divisors of 969 that completely divides 969 are.
1, 3, 17, 19, 51, 57, 323, 969
Divisors of 324 :
The positive integer divisors of 324 that completely divides 324 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Divisors of 766 :
The positive integer divisors of 766 that completely divides 766 are.
1, 2, 383, 766
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
GCD of numbers is the greatest common divisor
So, the GCD (969, 324, 766, 684) = 1.
Given numbers are 969, 324, 766, 684
The list of prime factors of all numbers are
Prime factors of 969 are 3 x 17 x 19
Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 766 are 2 x 383
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 969, 324, 766, 684
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(969, 324) = 104652
GCD(969, 324) = ( 969 x 324 ) / 104652
= 969 / 324
= 969
Step2:
LCM(3, 766) = 2298
GCD(3, 766) = ( 3 x 766 ) / 2298
= 3 / 766
= 3
Step3:
LCM(1, 684) = 684
GCD(1, 684) = ( 1 x 684 ) / 684
= 1 / 684
= 1
So, Greatest Common Divisor of 969, 324, 766, 684 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 969, 324, 766, 684
The greatest common divisor of numbers 969, 324, 766, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 969, 324, 766, 684 is 1.
1. What is the GCD of 969, 324, 766, 684?
GCD of given numbers 969, 324, 766, 684 is 1
2. How to calculate the greatest common divisor of 969, 324, 766, 684?
We can find the highest common divisor of 969, 324, 766, 684 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 969, 324, 766, 684 i.e 1.
3. How can I use the GCD of 969, 324, 766, 684Calculator?
Out the numbers 969, 324, 766, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.