Online GCD Calculator is useful to find the GCD of 530, 430, 980, 198 quickly. Get the easiest ways to solve the greatest common divisor of 530, 430, 980, 198 i.e 2 in different methods as follows.
Given Input numbers are 530, 430, 980, 198
In the factoring method, we have to find the divisors of all numbers
Divisors of 530 :
The positive integer divisors of 530 that completely divides 530 are.
1, 2, 5, 10, 53, 106, 265, 530
Divisors of 430 :
The positive integer divisors of 430 that completely divides 430 are.
1, 2, 5, 10, 43, 86, 215, 430
Divisors of 980 :
The positive integer divisors of 980 that completely divides 980 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
Divisors of 198 :
The positive integer divisors of 198 that completely divides 198 are.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
GCD of numbers is the greatest common divisor
So, the GCD (530, 430, 980, 198) = 2.
Given numbers are 530, 430, 980, 198
The list of prime factors of all numbers are
Prime factors of 530 are 2 x 5 x 53
Prime factors of 430 are 2 x 5 x 43
Prime factors of 980 are 2 x 2 x 5 x 7 x 7
Prime factors of 198 are 2 x 3 x 3 x 11
The highest common occurrence is 21
Therefore, GCD of 530, 430, 980, 198 is 2.
Given numbers are 530, 430, 980, 198
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(530, 430) = 22790
GCD(530, 430) = ( 530 x 430 ) / 22790
= 530 / 430
= 530
Step2:
LCM(10, 980) = 980
GCD(10, 980) = ( 10 x 980 ) / 980
= 10 / 980
= 10
Step3:
LCM(10, 198) = 990
GCD(10, 198) = ( 10 x 198 ) / 990
= 10 / 198
= 10
So, Greatest Common Divisor of 530, 430, 980, 198 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 530, 430, 980, 198
The greatest common divisor of numbers 530, 430, 980, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 530, 430, 980, 198 is 2.
1. What is the GCD of 530, 430, 980, 198?
GCD of given numbers 530, 430, 980, 198 is 2
2. How to calculate the greatest common divisor of 530, 430, 980, 198?
We can find the highest common divisor of 530, 430, 980, 198 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 530, 430, 980, 198 i.e 2.
3. How can I use the GCD of 530, 430, 980, 198Calculator?
Out the numbers 530, 430, 980, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.