Online GCD Calculator is useful to find the GCD of 548, 397, 489, 460 quickly. Get the easiest ways to solve the greatest common divisor of 548, 397, 489, 460 i.e 1 in different methods as follows.
Given Input numbers are 548, 397, 489, 460
In the factoring method, we have to find the divisors of all numbers
Divisors of 548 :
The positive integer divisors of 548 that completely divides 548 are.
1, 2, 4, 137, 274, 548
Divisors of 397 :
The positive integer divisors of 397 that completely divides 397 are.
1, 397
Divisors of 489 :
The positive integer divisors of 489 that completely divides 489 are.
1, 3, 163, 489
Divisors of 460 :
The positive integer divisors of 460 that completely divides 460 are.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
GCD of numbers is the greatest common divisor
So, the GCD (548, 397, 489, 460) = 1.
Given numbers are 548, 397, 489, 460
The list of prime factors of all numbers are
Prime factors of 548 are 2 x 2 x 137
Prime factors of 397 are 397
Prime factors of 489 are 3 x 163
Prime factors of 460 are 2 x 2 x 5 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 548, 397, 489, 460
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(548, 397) = 217556
GCD(548, 397) = ( 548 x 397 ) / 217556
= 548 / 397
= 548
Step2:
LCM(1, 489) = 489
GCD(1, 489) = ( 1 x 489 ) / 489
= 1 / 489
= 1
Step3:
LCM(1, 460) = 460
GCD(1, 460) = ( 1 x 460 ) / 460
= 1 / 460
= 1
So, Greatest Common Divisor of 548, 397, 489, 460 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 548, 397, 489, 460
The greatest common divisor of numbers 548, 397, 489, 460 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 548, 397, 489, 460 is 1.
1. What is the GCD of 548, 397, 489, 460?
GCD of given numbers 548, 397, 489, 460 is 1
2. How to calculate the greatest common divisor of 548, 397, 489, 460?
We can find the highest common divisor of 548, 397, 489, 460 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 548, 397, 489, 460 i.e 1.
3. How can I use the GCD of 548, 397, 489, 460Calculator?
Out the numbers 548, 397, 489, 460 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.