Online GCD Calculator is useful to find the GCD of 489, 849, 242, 760 quickly. Get the easiest ways to solve the greatest common divisor of 489, 849, 242, 760 i.e 1 in different methods as follows.
Given Input numbers are 489, 849, 242, 760
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 849 :
The positive integer divisors of 849 that completely divides 849 are.
1, 3, 283, 849
Divisors of 242 :
The positive integer divisors of 242 that completely divides 242 are.
1, 2, 11, 22, 121, 242
Divisors of 760 :
The positive integer divisors of 760 that completely divides 760 are.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
GCD of numbers is the greatest common divisor
So, the GCD (489, 849, 242, 760) = 1.
Given numbers are 489, 849, 242, 760
The list of prime factors of all numbers are
Prime factors of 489 are 3 x 163
Prime factors of 849 are 3 x 283
Prime factors of 242 are 2 x 11 x 11
Prime factors of 760 are 2 x 2 x 2 x 5 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 489, 849, 242, 760
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(489, 849) = 138387
GCD(489, 849) = ( 489 x 849 ) / 138387
= 489 / 849
= 489
Step2:
LCM(3, 242) = 726
GCD(3, 242) = ( 3 x 242 ) / 726
= 3 / 242
= 3
Step3:
LCM(1, 760) = 760
GCD(1, 760) = ( 1 x 760 ) / 760
= 1 / 760
= 1
So, Greatest Common Divisor of 489, 849, 242, 760 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 489, 849, 242, 760
The greatest common divisor of numbers 489, 849, 242, 760 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 849, 242, 760 is 1.
1. What is the GCD of 489, 849, 242, 760?
GCD of given numbers 489, 849, 242, 760 is 1
2. How to calculate the greatest common divisor of 489, 849, 242, 760?
We can find the highest common divisor of 489, 849, 242, 760 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, 849, 242, 760 i.e 1.
3. How can I use the GCD of 489, 849, 242, 760Calculator?
Out the numbers 489, 849, 242, 760 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.