Online GCD Calculator is useful to find the GCD of 788, 126, 558, 986 quickly. Get the easiest ways to solve the greatest common divisor of 788, 126, 558, 986 i.e 2 in different methods as follows.
Given Input numbers are 788, 126, 558, 986
In the factoring method, we have to find the divisors of all numbers
Divisors of 788 :
The positive integer divisors of 788 that completely divides 788 are.
1, 2, 4, 197, 394, 788
Divisors of 126 :
The positive integer divisors of 126 that completely divides 126 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 558 :
The positive integer divisors of 558 that completely divides 558 are.
1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
Divisors of 986 :
The positive integer divisors of 986 that completely divides 986 are.
1, 2, 17, 29, 34, 58, 493, 986
GCD of numbers is the greatest common divisor
So, the GCD (788, 126, 558, 986) = 2.
Given numbers are 788, 126, 558, 986
The list of prime factors of all numbers are
Prime factors of 788 are 2 x 2 x 197
Prime factors of 126 are 2 x 3 x 3 x 7
Prime factors of 558 are 2 x 3 x 3 x 31
Prime factors of 986 are 2 x 17 x 29
The highest common occurrence is 21
Therefore, GCD of 788, 126, 558, 986 is 2.
Given numbers are 788, 126, 558, 986
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(788, 126) = 49644
GCD(788, 126) = ( 788 x 126 ) / 49644
= 788 / 126
= 788
Step2:
LCM(2, 558) = 558
GCD(2, 558) = ( 2 x 558 ) / 558
= 2 / 558
= 2
Step3:
LCM(2, 986) = 986
GCD(2, 986) = ( 2 x 986 ) / 986
= 2 / 986
= 2
So, Greatest Common Divisor of 788, 126, 558, 986 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 788, 126, 558, 986
The greatest common divisor of numbers 788, 126, 558, 986 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 788, 126, 558, 986 is 2.
1. What is the GCD of 788, 126, 558, 986?
GCD of given numbers 788, 126, 558, 986 is 2
2. How to calculate the greatest common divisor of 788, 126, 558, 986?
We can find the highest common divisor of 788, 126, 558, 986 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 788, 126, 558, 986 i.e 2.
3. How can I use the GCD of 788, 126, 558, 986Calculator?
Out the numbers 788, 126, 558, 986 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.