Online GCD Calculator is useful to find the GCD of 488, 311, 351, 280 quickly. Get the easiest ways to solve the greatest common divisor of 488, 311, 351, 280 i.e 1 in different methods as follows.
Given Input numbers are 488, 311, 351, 280
In the factoring method, we have to find the divisors of all numbers
Divisors of 488 :
The positive integer divisors of 488 that completely divides 488 are.
1, 2, 4, 8, 61, 122, 244, 488
Divisors of 311 :
The positive integer divisors of 311 that completely divides 311 are.
1, 311
Divisors of 351 :
The positive integer divisors of 351 that completely divides 351 are.
1, 3, 9, 13, 27, 39, 117, 351
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
GCD of numbers is the greatest common divisor
So, the GCD (488, 311, 351, 280) = 1.
Given numbers are 488, 311, 351, 280
The list of prime factors of all numbers are
Prime factors of 488 are 2 x 2 x 2 x 61
Prime factors of 311 are 311
Prime factors of 351 are 3 x 3 x 3 x 13
Prime factors of 280 are 2 x 2 x 2 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 488, 311, 351, 280
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(488, 311) = 151768
GCD(488, 311) = ( 488 x 311 ) / 151768
= 488 / 311
= 488
Step2:
LCM(1, 351) = 351
GCD(1, 351) = ( 1 x 351 ) / 351
= 1 / 351
= 1
Step3:
LCM(1, 280) = 280
GCD(1, 280) = ( 1 x 280 ) / 280
= 1 / 280
= 1
So, Greatest Common Divisor of 488, 311, 351, 280 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 488, 311, 351, 280
The greatest common divisor of numbers 488, 311, 351, 280 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 488, 311, 351, 280 is 1.
1. What is the GCD of 488, 311, 351, 280?
GCD of given numbers 488, 311, 351, 280 is 1
2. How to calculate the greatest common divisor of 488, 311, 351, 280?
We can find the highest common divisor of 488, 311, 351, 280 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 488, 311, 351, 280 i.e 1.
3. How can I use the GCD of 488, 311, 351, 280Calculator?
Out the numbers 488, 311, 351, 280 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.