Online GCD Calculator is useful to find the GCD of 678, 342, 844, 130 quickly. Get the easiest ways to solve the greatest common divisor of 678, 342, 844, 130 i.e 2 in different methods as follows.
Given Input numbers are 678, 342, 844, 130
In the factoring method, we have to find the divisors of all numbers
Divisors of 678 :
The positive integer divisors of 678 that completely divides 678 are.
1, 2, 3, 6, 113, 226, 339, 678
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 844 :
The positive integer divisors of 844 that completely divides 844 are.
1, 2, 4, 211, 422, 844
Divisors of 130 :
The positive integer divisors of 130 that completely divides 130 are.
1, 2, 5, 10, 13, 26, 65, 130
GCD of numbers is the greatest common divisor
So, the GCD (678, 342, 844, 130) = 2.
Given numbers are 678, 342, 844, 130
The list of prime factors of all numbers are
Prime factors of 678 are 2 x 3 x 113
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 844 are 2 x 2 x 211
Prime factors of 130 are 2 x 5 x 13
The highest common occurrence is 21
Therefore, GCD of 678, 342, 844, 130 is 2.
Given numbers are 678, 342, 844, 130
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(678, 342) = 38646
GCD(678, 342) = ( 678 x 342 ) / 38646
= 678 / 342
= 678
Step2:
LCM(6, 844) = 2532
GCD(6, 844) = ( 6 x 844 ) / 2532
= 6 / 844
= 6
Step3:
LCM(2, 130) = 130
GCD(2, 130) = ( 2 x 130 ) / 130
= 2 / 130
= 2
So, Greatest Common Divisor of 678, 342, 844, 130 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 678, 342, 844, 130
The greatest common divisor of numbers 678, 342, 844, 130 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 342, 844, 130 is 2.
1. What is the GCD of 678, 342, 844, 130?
GCD of given numbers 678, 342, 844, 130 is 2
2. How to calculate the greatest common divisor of 678, 342, 844, 130?
We can find the highest common divisor of 678, 342, 844, 130 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 678, 342, 844, 130 i.e 2.
3. How can I use the GCD of 678, 342, 844, 130Calculator?
Out the numbers 678, 342, 844, 130 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.