Online GCD Calculator is useful to find the GCD of 782, 476, 24, 489 quickly. Get the easiest ways to solve the greatest common divisor of 782, 476, 24, 489 i.e 1 in different methods as follows.
Given Input numbers are 782, 476, 24, 489
In the factoring method, we have to find the divisors of all numbers
Divisors of 782 :
The positive integer divisors of 782 that completely divides 782 are.
1, 2, 17, 23, 34, 46, 391, 782
Divisors of 476 :
The positive integer divisors of 476 that completely divides 476 are.
1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
Divisors of 24 :
The positive integer divisors of 24 that completely divides 24 are.
1, 2, 3, 4, 6, 8, 12, 24
Divisors of 489 :
The positive integer divisors of 489 that completely divides 489 are.
1, 3, 163, 489
GCD of numbers is the greatest common divisor
So, the GCD (782, 476, 24, 489) = 1.
Given numbers are 782, 476, 24, 489
The list of prime factors of all numbers are
Prime factors of 782 are 2 x 17 x 23
Prime factors of 476 are 2 x 2 x 7 x 17
Prime factors of 24 are 2 x 2 x 2 x 3
Prime factors of 489 are 3 x 163
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 782, 476, 24, 489
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(782, 476) = 10948
GCD(782, 476) = ( 782 x 476 ) / 10948
= 782 / 476
= 782
Step2:
LCM(34, 24) = 408
GCD(34, 24) = ( 34 x 24 ) / 408
= 34 / 24
= 34
Step3:
LCM(2, 489) = 978
GCD(2, 489) = ( 2 x 489 ) / 978
= 2 / 489
= 2
So, Greatest Common Divisor of 782, 476, 24, 489 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 782, 476, 24, 489
The greatest common divisor of numbers 782, 476, 24, 489 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 476, 24, 489 is 1.
1. What is the GCD of 782, 476, 24, 489?
GCD of given numbers 782, 476, 24, 489 is 1
2. How to calculate the greatest common divisor of 782, 476, 24, 489?
We can find the highest common divisor of 782, 476, 24, 489 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 782, 476, 24, 489 i.e 1.
3. How can I use the GCD of 782, 476, 24, 489Calculator?
Out the numbers 782, 476, 24, 489 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.