Online GCD Calculator is useful to find the GCD of 988, 194, 812, 820 quickly. Get the easiest ways to solve the greatest common divisor of 988, 194, 812, 820 i.e 2 in different methods as follows.
Given Input numbers are 988, 194, 812, 820
In the factoring method, we have to find the divisors of all numbers
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 194 :
The positive integer divisors of 194 that completely divides 194 are.
1, 2, 97, 194
Divisors of 812 :
The positive integer divisors of 812 that completely divides 812 are.
1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
Divisors of 820 :
The positive integer divisors of 820 that completely divides 820 are.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
GCD of numbers is the greatest common divisor
So, the GCD (988, 194, 812, 820) = 2.
Given numbers are 988, 194, 812, 820
The list of prime factors of all numbers are
Prime factors of 988 are 2 x 2 x 13 x 19
Prime factors of 194 are 2 x 97
Prime factors of 812 are 2 x 2 x 7 x 29
Prime factors of 820 are 2 x 2 x 5 x 41
The highest common occurrence is 21
Therefore, GCD of 988, 194, 812, 820 is 2.
Given numbers are 988, 194, 812, 820
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(988, 194) = 95836
GCD(988, 194) = ( 988 x 194 ) / 95836
= 988 / 194
= 988
Step2:
LCM(2, 812) = 812
GCD(2, 812) = ( 2 x 812 ) / 812
= 2 / 812
= 2
Step3:
LCM(2, 820) = 820
GCD(2, 820) = ( 2 x 820 ) / 820
= 2 / 820
= 2
So, Greatest Common Divisor of 988, 194, 812, 820 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 988, 194, 812, 820
The greatest common divisor of numbers 988, 194, 812, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 988, 194, 812, 820 is 2.
1. What is the GCD of 988, 194, 812, 820?
GCD of given numbers 988, 194, 812, 820 is 2
2. How to calculate the greatest common divisor of 988, 194, 812, 820?
We can find the highest common divisor of 988, 194, 812, 820 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 988, 194, 812, 820 i.e 2.
3. How can I use the GCD of 988, 194, 812, 820Calculator?
Out the numbers 988, 194, 812, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.