Online GCD Calculator is useful to find the GCD of 489, 442, 524, 696 quickly. Get the easiest ways to solve the greatest common divisor of 489, 442, 524, 696 i.e 1 in different methods as follows.
Given Input numbers are 489, 442, 524, 696
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 442 :
The positive integer divisors of 442 that completely divides 442 are.
1, 2, 13, 17, 26, 34, 221, 442
Divisors of 524 :
The positive integer divisors of 524 that completely divides 524 are.
1, 2, 4, 131, 262, 524
Divisors of 696 :
The positive integer divisors of 696 that completely divides 696 are.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
GCD of numbers is the greatest common divisor
So, the GCD (489, 442, 524, 696) = 1.
Given numbers are 489, 442, 524, 696
The list of prime factors of all numbers are
Prime factors of 489 are 3 x 163
Prime factors of 442 are 2 x 13 x 17
Prime factors of 524 are 2 x 2 x 131
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 489, 442, 524, 696
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(489, 442) = 216138
GCD(489, 442) = ( 489 x 442 ) / 216138
= 489 / 442
= 489
Step2:
LCM(1, 524) = 524
GCD(1, 524) = ( 1 x 524 ) / 524
= 1 / 524
= 1
Step3:
LCM(1, 696) = 696
GCD(1, 696) = ( 1 x 696 ) / 696
= 1 / 696
= 1
So, Greatest Common Divisor of 489, 442, 524, 696 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 489, 442, 524, 696
The greatest common divisor of numbers 489, 442, 524, 696 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 442, 524, 696 is 1.
1. What is the GCD of 489, 442, 524, 696?
GCD of given numbers 489, 442, 524, 696 is 1
2. How to calculate the greatest common divisor of 489, 442, 524, 696?
We can find the highest common divisor of 489, 442, 524, 696 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, 442, 524, 696 i.e 1.
3. How can I use the GCD of 489, 442, 524, 696Calculator?
Out the numbers 489, 442, 524, 696 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.