Online GCD Calculator is useful to find the GCD of 489, 766, 360, 278 quickly. Get the easiest ways to solve the greatest common divisor of 489, 766, 360, 278 i.e 1 in different methods as follows.
Given Input numbers are 489, 766, 360, 278
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 766 :
The positive integer divisors of 766 that completely divides 766 are.
1, 2, 383, 766
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 278 :
The positive integer divisors of 278 that completely divides 278 are.
1, 2, 139, 278
GCD of numbers is the greatest common divisor
So, the GCD (489, 766, 360, 278) = 1.
Given numbers are 489, 766, 360, 278
The list of prime factors of all numbers are
Prime factors of 489 are 3 x 163
Prime factors of 766 are 2 x 383
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 278 are 2 x 139
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 489, 766, 360, 278
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(489, 766) = 374574
GCD(489, 766) = ( 489 x 766 ) / 374574
= 489 / 766
= 489
Step2:
LCM(1, 360) = 360
GCD(1, 360) = ( 1 x 360 ) / 360
= 1 / 360
= 1
Step3:
LCM(1, 278) = 278
GCD(1, 278) = ( 1 x 278 ) / 278
= 1 / 278
= 1
So, Greatest Common Divisor of 489, 766, 360, 278 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 489, 766, 360, 278
The greatest common divisor of numbers 489, 766, 360, 278 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 766, 360, 278 is 1.
1. What is the GCD of 489, 766, 360, 278?
GCD of given numbers 489, 766, 360, 278 is 1
2. How to calculate the greatest common divisor of 489, 766, 360, 278?
We can find the highest common divisor of 489, 766, 360, 278 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, 766, 360, 278 i.e 1.
3. How can I use the GCD of 489, 766, 360, 278Calculator?
Out the numbers 489, 766, 360, 278 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.