Online GCD Calculator is useful to find the GCD of 988, 654, 412, 796 quickly. Get the easiest ways to solve the greatest common divisor of 988, 654, 412, 796 i.e 2 in different methods as follows.
Given Input numbers are 988, 654, 412, 796
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 654 :
The positive integer divisors of 654 that completely divides 654 are.
1, 2, 3, 6, 109, 218, 327, 654
Divisors of 412 :
The positive integer divisors of 412 that completely divides 412 are.
1, 2, 4, 103, 206, 412
Divisors of 796 :
The positive integer divisors of 796 that completely divides 796 are.
1, 2, 4, 199, 398, 796
GCD of numbers is the greatest common divisor
So, the GCD (988, 654, 412, 796) = 2.
Given numbers are 988, 654, 412, 796
The list of prime factors of all numbers are
Prime factors of 988 are 2 x 2 x 13 x 19
Prime factors of 654 are 2 x 3 x 109
Prime factors of 412 are 2 x 2 x 103
Prime factors of 796 are 2 x 2 x 199
The highest common occurrence is 21
Therefore, GCD of 988, 654, 412, 796 is 2.
Given numbers are 988, 654, 412, 796
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(988, 654) = 323076
GCD(988, 654) = ( 988 x 654 ) / 323076
= 988 / 654
= 988
Step2:
LCM(2, 412) = 412
GCD(2, 412) = ( 2 x 412 ) / 412
= 2 / 412
= 2
Step3:
LCM(2, 796) = 796
GCD(2, 796) = ( 2 x 796 ) / 796
= 2 / 796
= 2
So, Greatest Common Divisor of 988, 654, 412, 796 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 988, 654, 412, 796
The greatest common divisor of numbers 988, 654, 412, 796 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 988, 654, 412, 796 is 2.
1. What is the GCD of 988, 654, 412, 796?
GCD of given numbers 988, 654, 412, 796 is 2
2. How to calculate the greatest common divisor of 988, 654, 412, 796?
We can find the highest common divisor of 988, 654, 412, 796 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, 654, 412, 796 i.e 2.
3. How can I use the GCD of 988, 654, 412, 796Calculator?
Out the numbers 988, 654, 412, 796 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.