Online GCD Calculator is useful to find the GCD of 490, 988, 488, 586 quickly. Get the easiest ways to solve the greatest common divisor of 490, 988, 488, 586 i.e 2 in different methods as follows.
Given Input numbers are 490, 988, 488, 586
In the factoring method, we have to find the divisors of all numbers
Divisors of 490 :
The positive integer divisors of 490 that completely divides 490 are.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
Divisors of 988 :
The positive integer divisors of 988 that completely divides 988 are.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
Divisors of 488 :
The positive integer divisors of 488 that completely divides 488 are.
1, 2, 4, 8, 61, 122, 244, 488
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 (490, 988, 488, 586) = 2.
Given numbers are 490, 988, 488, 586
The list of prime factors of all numbers are
Prime factors of 490 are 2 x 5 x 7 x 7
Prime factors of 988 are 2 x 2 x 13 x 19
Prime factors of 488 are 2 x 2 x 2 x 61
Prime factors of 586 are 2 x 293
The highest common occurrence is 21
Therefore, GCD of 490, 988, 488, 586 is 2.
Given numbers are 490, 988, 488, 586
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(490, 988) = 242060
GCD(490, 988) = ( 490 x 988 ) / 242060
= 490 / 988
= 490
Step2:
LCM(2, 488) = 488
GCD(2, 488) = ( 2 x 488 ) / 488
= 2 / 488
= 2
Step3:
LCM(2, 586) = 586
GCD(2, 586) = ( 2 x 586 ) / 586
= 2 / 586
= 2
So, Greatest Common Divisor of 490, 988, 488, 586 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 490, 988, 488, 586
The greatest common divisor of numbers 490, 988, 488, 586 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 988, 488, 586 is 2.
1. What is the GCD of 490, 988, 488, 586?
GCD of given numbers 490, 988, 488, 586 is 2
2. How to calculate the greatest common divisor of 490, 988, 488, 586?
We can find the highest common divisor of 490, 988, 488, 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 490, 988, 488, 586 i.e 2.
3. How can I use the GCD of 490, 988, 488, 586Calculator?
Out the numbers 490, 988, 488, 586 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.