Online GCD Calculator is useful to find the GCD of 488, 816, 614, 267 quickly. Get the easiest ways to solve the greatest common divisor of 488, 816, 614, 267 i.e 1 in different methods as follows.
Given Input numbers are 488, 816, 614, 267
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 816 :
The positive integer divisors of 816 that completely divides 816 are.
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
Divisors of 614 :
The positive integer divisors of 614 that completely divides 614 are.
1, 2, 307, 614
Divisors of 267 :
The positive integer divisors of 267 that completely divides 267 are.
1, 3, 89, 267
GCD of numbers is the greatest common divisor
So, the GCD (488, 816, 614, 267) = 1.
Given numbers are 488, 816, 614, 267
The list of prime factors of all numbers are
Prime factors of 488 are 2 x 2 x 2 x 61
Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17
Prime factors of 614 are 2 x 307
Prime factors of 267 are 3 x 89
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 488, 816, 614, 267
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(488, 816) = 49776
GCD(488, 816) = ( 488 x 816 ) / 49776
= 488 / 816
= 488
Step2:
LCM(8, 614) = 2456
GCD(8, 614) = ( 8 x 614 ) / 2456
= 8 / 614
= 8
Step3:
LCM(2, 267) = 534
GCD(2, 267) = ( 2 x 267 ) / 534
= 2 / 267
= 2
So, Greatest Common Divisor of 488, 816, 614, 267 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 488, 816, 614, 267
The greatest common divisor of numbers 488, 816, 614, 267 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 488, 816, 614, 267 is 1.
1. What is the GCD of 488, 816, 614, 267?
GCD of given numbers 488, 816, 614, 267 is 1
2. How to calculate the greatest common divisor of 488, 816, 614, 267?
We can find the highest common divisor of 488, 816, 614, 267 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, 816, 614, 267 i.e 1.
3. How can I use the GCD of 488, 816, 614, 267Calculator?
Out the numbers 488, 816, 614, 267 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.