Online GCD Calculator is useful to find the GCD of 998, 490, 830, 210 quickly. Get the easiest ways to solve the greatest common divisor of 998, 490, 830, 210 i.e 2 in different methods as follows.
Given Input numbers are 998, 490, 830, 210
In the factoring method, we have to find the divisors of all numbers
Divisors of 998 :
The positive integer divisors of 998 that completely divides 998 are.
1, 2, 499, 998
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 830 :
The positive integer divisors of 830 that completely divides 830 are.
1, 2, 5, 10, 83, 166, 415, 830
Divisors of 210 :
The positive integer divisors of 210 that completely divides 210 are.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
GCD of numbers is the greatest common divisor
So, the GCD (998, 490, 830, 210) = 2.
Given numbers are 998, 490, 830, 210
The list of prime factors of all numbers are
Prime factors of 998 are 2 x 499
Prime factors of 490 are 2 x 5 x 7 x 7
Prime factors of 830 are 2 x 5 x 83
Prime factors of 210 are 2 x 3 x 5 x 7
The highest common occurrence is 21
Therefore, GCD of 998, 490, 830, 210 is 2.
Given numbers are 998, 490, 830, 210
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(998, 490) = 244510
GCD(998, 490) = ( 998 x 490 ) / 244510
= 998 / 490
= 998
Step2:
LCM(2, 830) = 830
GCD(2, 830) = ( 2 x 830 ) / 830
= 2 / 830
= 2
Step3:
LCM(2, 210) = 210
GCD(2, 210) = ( 2 x 210 ) / 210
= 2 / 210
= 2
So, Greatest Common Divisor of 998, 490, 830, 210 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 998, 490, 830, 210
The greatest common divisor of numbers 998, 490, 830, 210 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 490, 830, 210 is 2.
1. What is the GCD of 998, 490, 830, 210?
GCD of given numbers 998, 490, 830, 210 is 2
2. How to calculate the greatest common divisor of 998, 490, 830, 210?
We can find the highest common divisor of 998, 490, 830, 210 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 998, 490, 830, 210 i.e 2.
3. How can I use the GCD of 998, 490, 830, 210Calculator?
Out the numbers 998, 490, 830, 210 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.