Online GCD Calculator is useful to find the GCD of 340, 130, 422, 984 quickly. Get the easiest ways to solve the greatest common divisor of 340, 130, 422, 984 i.e 2 in different methods as follows.
Given Input numbers are 340, 130, 422, 984
In the factoring method, we have to find the divisors of all numbers
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 130 :
The positive integer divisors of 130 that completely divides 130 are.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 422 :
The positive integer divisors of 422 that completely divides 422 are.
1, 2, 211, 422
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 (340, 130, 422, 984) = 2.
Given numbers are 340, 130, 422, 984
The list of prime factors of all numbers are
Prime factors of 340 are 2 x 2 x 5 x 17
Prime factors of 130 are 2 x 5 x 13
Prime factors of 422 are 2 x 211
Prime factors of 984 are 2 x 2 x 2 x 3 x 41
The highest common occurrence is 21
Therefore, GCD of 340, 130, 422, 984 is 2.
Given numbers are 340, 130, 422, 984
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(340, 130) = 4420
GCD(340, 130) = ( 340 x 130 ) / 4420
= 340 / 130
= 340
Step2:
LCM(10, 422) = 2110
GCD(10, 422) = ( 10 x 422 ) / 2110
= 10 / 422
= 10
Step3:
LCM(2, 984) = 984
GCD(2, 984) = ( 2 x 984 ) / 984
= 2 / 984
= 2
So, Greatest Common Divisor of 340, 130, 422, 984 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 340, 130, 422, 984
The greatest common divisor of numbers 340, 130, 422, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 340, 130, 422, 984 is 2.
1. What is the GCD of 340, 130, 422, 984?
GCD of given numbers 340, 130, 422, 984 is 2
2. How to calculate the greatest common divisor of 340, 130, 422, 984?
We can find the highest common divisor of 340, 130, 422, 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 340, 130, 422, 984 i.e 2.
3. How can I use the GCD of 340, 130, 422, 984Calculator?
Out the numbers 340, 130, 422, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.