Online GCD Calculator is useful to find the GCD of 488, 140, 728, 293 quickly. Get the easiest ways to solve the greatest common divisor of 488, 140, 728, 293 i.e 1 in different methods as follows.
Given Input numbers are 488, 140, 728, 293
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 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Divisors of 728 :
The positive integer divisors of 728 that completely divides 728 are.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
Divisors of 293 :
The positive integer divisors of 293 that completely divides 293 are.
1, 293
GCD of numbers is the greatest common divisor
So, the GCD (488, 140, 728, 293) = 1.
Given numbers are 488, 140, 728, 293
The list of prime factors of all numbers are
Prime factors of 488 are 2 x 2 x 2 x 61
Prime factors of 140 are 2 x 2 x 5 x 7
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
Prime factors of 293 are 293
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 488, 140, 728, 293
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(488, 140) = 17080
GCD(488, 140) = ( 488 x 140 ) / 17080
= 488 / 140
= 488
Step2:
LCM(4, 728) = 728
GCD(4, 728) = ( 4 x 728 ) / 728
= 4 / 728
= 4
Step3:
LCM(4, 293) = 1172
GCD(4, 293) = ( 4 x 293 ) / 1172
= 4 / 293
= 4
So, Greatest Common Divisor of 488, 140, 728, 293 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 488, 140, 728, 293
The greatest common divisor of numbers 488, 140, 728, 293 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 488, 140, 728, 293 is 1.
1. What is the GCD of 488, 140, 728, 293?
GCD of given numbers 488, 140, 728, 293 is 1
2. How to calculate the greatest common divisor of 488, 140, 728, 293?
We can find the highest common divisor of 488, 140, 728, 293 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, 140, 728, 293 i.e 1.
3. How can I use the GCD of 488, 140, 728, 293Calculator?
Out the numbers 488, 140, 728, 293 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.