Online GCD Calculator is useful to find the GCD of 488, 442, 382, 710 quickly. Get the easiest ways to solve the greatest common divisor of 488, 442, 382, 710 i.e 2 in different methods as follows.
Given Input numbers are 488, 442, 382, 710
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 442 :
The positive integer divisors of 442 that completely divides 442 are.
1, 2, 13, 17, 26, 34, 221, 442
Divisors of 382 :
The positive integer divisors of 382 that completely divides 382 are.
1, 2, 191, 382
Divisors of 710 :
The positive integer divisors of 710 that completely divides 710 are.
1, 2, 5, 10, 71, 142, 355, 710
GCD of numbers is the greatest common divisor
So, the GCD (488, 442, 382, 710) = 2.
Given numbers are 488, 442, 382, 710
The list of prime factors of all numbers are
Prime factors of 488 are 2 x 2 x 2 x 61
Prime factors of 442 are 2 x 13 x 17
Prime factors of 382 are 2 x 191
Prime factors of 710 are 2 x 5 x 71
The highest common occurrence is 21
Therefore, GCD of 488, 442, 382, 710 is 2.
Given numbers are 488, 442, 382, 710
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(488, 442) = 107848
GCD(488, 442) = ( 488 x 442 ) / 107848
= 488 / 442
= 488
Step2:
LCM(2, 382) = 382
GCD(2, 382) = ( 2 x 382 ) / 382
= 2 / 382
= 2
Step3:
LCM(2, 710) = 710
GCD(2, 710) = ( 2 x 710 ) / 710
= 2 / 710
= 2
So, Greatest Common Divisor of 488, 442, 382, 710 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 488, 442, 382, 710
The greatest common divisor of numbers 488, 442, 382, 710 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 488, 442, 382, 710 is 2.
1. What is the GCD of 488, 442, 382, 710?
GCD of given numbers 488, 442, 382, 710 is 2
2. How to calculate the greatest common divisor of 488, 442, 382, 710?
We can find the highest common divisor of 488, 442, 382, 710 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, 442, 382, 710 i.e 2.
3. How can I use the GCD of 488, 442, 382, 710Calculator?
Out the numbers 488, 442, 382, 710 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.