Online GCD Calculator is useful to find the GCD of 412, 340, 388, 984 quickly. Get the easiest ways to solve the greatest common divisor of 412, 340, 388, 984 i.e 4 in different methods as follows.
Given Input numbers are 412, 340, 388, 984
In the factoring method, we have to find the divisors of all numbers
Divisors of 412 :
The positive integer divisors of 412 that completely divides 412 are.
1, 2, 4, 103, 206, 412
Divisors of 340 :
The positive integer divisors of 340 that completely divides 340 are.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 388 :
The positive integer divisors of 388 that completely divides 388 are.
1, 2, 4, 97, 194, 388
Divisors of 984 :
The positive integer divisors of 984 that completely divides 984 are.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
GCD of numbers is the greatest common divisor
So, the GCD (412, 340, 388, 984) = 4.
Given numbers are 412, 340, 388, 984
The list of prime factors of all numbers are
Prime factors of 412 are 2 x 2 x 103
Prime factors of 340 are 2 x 2 x 5 x 17
Prime factors of 388 are 2 x 2 x 97
Prime factors of 984 are 2 x 2 x 2 x 3 x 41
The highest common occurrence is 22
Therefore, GCD of 412, 340, 388, 984 is 4.
Given numbers are 412, 340, 388, 984
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(412, 340) = 35020
GCD(412, 340) = ( 412 x 340 ) / 35020
= 412 / 340
= 412
Step2:
LCM(4, 388) = 388
GCD(4, 388) = ( 4 x 388 ) / 388
= 4 / 388
= 4
Step3:
LCM(4, 984) = 984
GCD(4, 984) = ( 4 x 984 ) / 984
= 4 / 984
= 4
So, Greatest Common Divisor of 412, 340, 388, 984 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 412, 340, 388, 984
The greatest common divisor of numbers 412, 340, 388, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 412, 340, 388, 984 is 4.
1. What is the GCD of 412, 340, 388, 984?
GCD of given numbers 412, 340, 388, 984 is 4
2. How to calculate the greatest common divisor of 412, 340, 388, 984?
We can find the highest common divisor of 412, 340, 388, 984 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 412, 340, 388, 984 i.e 4.
3. How can I use the GCD of 412, 340, 388, 984Calculator?
Out the numbers 412, 340, 388, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.