Online GCD Calculator is useful to find the GCD of 231, 680, 576, 969 quickly. Get the easiest ways to solve the greatest common divisor of 231, 680, 576, 969 i.e 1 in different methods as follows.
Given Input numbers are 231, 680, 576, 969
In the factoring method, we have to find the divisors of all numbers
Divisors of 231 :
The positive integer divisors of 231 that completely divides 231 are.
1, 3, 7, 11, 21, 33, 77, 231
Divisors of 680 :
The positive integer divisors of 680 that completely divides 680 are.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Divisors of 576 :
The positive integer divisors of 576 that completely divides 576 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
Divisors of 969 :
The positive integer divisors of 969 that completely divides 969 are.
1, 3, 17, 19, 51, 57, 323, 969
GCD of numbers is the greatest common divisor
So, the GCD (231, 680, 576, 969) = 1.
Given numbers are 231, 680, 576, 969
The list of prime factors of all numbers are
Prime factors of 231 are 3 x 7 x 11
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 969 are 3 x 17 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 231, 680, 576, 969
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(231, 680) = 157080
GCD(231, 680) = ( 231 x 680 ) / 157080
= 231 / 680
= 231
Step2:
LCM(1, 576) = 576
GCD(1, 576) = ( 1 x 576 ) / 576
= 1 / 576
= 1
Step3:
LCM(1, 969) = 969
GCD(1, 969) = ( 1 x 969 ) / 969
= 1 / 969
= 1
So, Greatest Common Divisor of 231, 680, 576, 969 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 231, 680, 576, 969
The greatest common divisor of numbers 231, 680, 576, 969 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 680, 576, 969 is 1.
1. What is the GCD of 231, 680, 576, 969?
GCD of given numbers 231, 680, 576, 969 is 1
2. How to calculate the greatest common divisor of 231, 680, 576, 969?
We can find the highest common divisor of 231, 680, 576, 969 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 231, 680, 576, 969 i.e 1.
3. How can I use the GCD of 231, 680, 576, 969Calculator?
Out the numbers 231, 680, 576, 969 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.