Online GCD Calculator is useful to find the GCD of 489, 644, 580, 769 quickly. Get the easiest ways to solve the greatest common divisor of 489, 644, 580, 769 i.e 1 in different methods as follows.
Given Input numbers are 489, 644, 580, 769
In the factoring method, we have to find the divisors of all numbers
Divisors of 489 :
The positive integer divisors of 489 that completely divides 489 are.
1, 3, 163, 489
Divisors of 644 :
The positive integer divisors of 644 that completely divides 644 are.
1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
Divisors of 580 :
The positive integer divisors of 580 that completely divides 580 are.
1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
Divisors of 769 :
The positive integer divisors of 769 that completely divides 769 are.
1, 769
GCD of numbers is the greatest common divisor
So, the GCD (489, 644, 580, 769) = 1.
Given numbers are 489, 644, 580, 769
The list of prime factors of all numbers are
Prime factors of 489 are 3 x 163
Prime factors of 644 are 2 x 2 x 7 x 23
Prime factors of 580 are 2 x 2 x 5 x 29
Prime factors of 769 are 769
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 489, 644, 580, 769
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(489, 644) = 314916
GCD(489, 644) = ( 489 x 644 ) / 314916
= 489 / 644
= 489
Step2:
LCM(1, 580) = 580
GCD(1, 580) = ( 1 x 580 ) / 580
= 1 / 580
= 1
Step3:
LCM(1, 769) = 769
GCD(1, 769) = ( 1 x 769 ) / 769
= 1 / 769
= 1
So, Greatest Common Divisor of 489, 644, 580, 769 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 489, 644, 580, 769
The greatest common divisor of numbers 489, 644, 580, 769 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 644, 580, 769 is 1.
1. What is the GCD of 489, 644, 580, 769?
GCD of given numbers 489, 644, 580, 769 is 1
2. How to calculate the greatest common divisor of 489, 644, 580, 769?
We can find the highest common divisor of 489, 644, 580, 769 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 489, 644, 580, 769 i.e 1.
3. How can I use the GCD of 489, 644, 580, 769Calculator?
Out the numbers 489, 644, 580, 769 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.