Online GCD Calculator is useful to find the GCD of 488, 370, 430, 586 quickly. Get the easiest ways to solve the greatest common divisor of 488, 370, 430, 586 i.e 2 in different methods as follows.
Given Input numbers are 488, 370, 430, 586
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 370 :
The positive integer divisors of 370 that completely divides 370 are.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 430 :
The positive integer divisors of 430 that completely divides 430 are.
1, 2, 5, 10, 43, 86, 215, 430
Divisors of 586 :
The positive integer divisors of 586 that completely divides 586 are.
1, 2, 293, 586
GCD of numbers is the greatest common divisor
So, the GCD (488, 370, 430, 586) = 2.
Given numbers are 488, 370, 430, 586
The list of prime factors of all numbers are
Prime factors of 488 are 2 x 2 x 2 x 61
Prime factors of 370 are 2 x 5 x 37
Prime factors of 430 are 2 x 5 x 43
Prime factors of 586 are 2 x 293
The highest common occurrence is 21
Therefore, GCD of 488, 370, 430, 586 is 2.
Given numbers are 488, 370, 430, 586
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(488, 370) = 90280
GCD(488, 370) = ( 488 x 370 ) / 90280
= 488 / 370
= 488
Step2:
LCM(2, 430) = 430
GCD(2, 430) = ( 2 x 430 ) / 430
= 2 / 430
= 2
Step3:
LCM(2, 586) = 586
GCD(2, 586) = ( 2 x 586 ) / 586
= 2 / 586
= 2
So, Greatest Common Divisor of 488, 370, 430, 586 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 488, 370, 430, 586
The greatest common divisor of numbers 488, 370, 430, 586 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 488, 370, 430, 586 is 2.
1. What is the GCD of 488, 370, 430, 586?
GCD of given numbers 488, 370, 430, 586 is 2
2. How to calculate the greatest common divisor of 488, 370, 430, 586?
We can find the highest common divisor of 488, 370, 430, 586 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, 370, 430, 586 i.e 2.
3. How can I use the GCD of 488, 370, 430, 586Calculator?
Out the numbers 488, 370, 430, 586 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.