Online GCD Calculator is useful to find the GCD of 682, 280, 448, 489 quickly. Get the easiest ways to solve the greatest common divisor of 682, 280, 448, 489 i.e 1 in different methods as follows.
Given Input numbers are 682, 280, 448, 489
In the factoring method, we have to find the divisors of all numbers
Divisors of 682 :
The positive integer divisors of 682 that completely divides 682 are.
1, 2, 11, 22, 31, 62, 341, 682
Divisors of 280 :
The positive integer divisors of 280 that completely divides 280 are.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
Divisors of 448 :
The positive integer divisors of 448 that completely divides 448 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
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 (682, 280, 448, 489) = 1.
Given numbers are 682, 280, 448, 489
The list of prime factors of all numbers are
Prime factors of 682 are 2 x 11 x 31
Prime factors of 280 are 2 x 2 x 2 x 5 x 7
Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7
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 682, 280, 448, 489
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(682, 280) = 95480
GCD(682, 280) = ( 682 x 280 ) / 95480
= 682 / 280
= 682
Step2:
LCM(2, 448) = 448
GCD(2, 448) = ( 2 x 448 ) / 448
= 2 / 448
= 2
Step3:
LCM(2, 489) = 978
GCD(2, 489) = ( 2 x 489 ) / 978
= 2 / 489
= 2
So, Greatest Common Divisor of 682, 280, 448, 489 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 682, 280, 448, 489
The greatest common divisor of numbers 682, 280, 448, 489 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 682, 280, 448, 489 is 1.
1. What is the GCD of 682, 280, 448, 489?
GCD of given numbers 682, 280, 448, 489 is 1
2. How to calculate the greatest common divisor of 682, 280, 448, 489?
We can find the highest common divisor of 682, 280, 448, 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 682, 280, 448, 489 i.e 1.
3. How can I use the GCD of 682, 280, 448, 489Calculator?
Out the numbers 682, 280, 448, 489 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.