Online GCD Calculator is useful to find the GCD of 646, 342, 338, 630 quickly. Get the easiest ways to solve the greatest common divisor of 646, 342, 338, 630 i.e 2 in different methods as follows.
Given Input numbers are 646, 342, 338, 630
In the factoring method, we have to find the divisors of all numbers
Divisors of 646 :
The positive integer divisors of 646 that completely divides 646 are.
1, 2, 17, 19, 34, 38, 323, 646
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 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
Divisors of 630 :
The positive integer divisors of 630 that completely divides 630 are.
1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
GCD of numbers is the greatest common divisor
So, the GCD (646, 342, 338, 630) = 2.
Given numbers are 646, 342, 338, 630
The list of prime factors of all numbers are
Prime factors of 646 are 2 x 17 x 19
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 338 are 2 x 13 x 13
Prime factors of 630 are 2 x 3 x 3 x 5 x 7
The highest common occurrence is 21
Therefore, GCD of 646, 342, 338, 630 is 2.
Given numbers are 646, 342, 338, 630
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(646, 342) = 5814
GCD(646, 342) = ( 646 x 342 ) / 5814
= 646 / 342
= 646
Step2:
LCM(38, 338) = 6422
GCD(38, 338) = ( 38 x 338 ) / 6422
= 38 / 338
= 38
Step3:
LCM(2, 630) = 630
GCD(2, 630) = ( 2 x 630 ) / 630
= 2 / 630
= 2
So, Greatest Common Divisor of 646, 342, 338, 630 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 646, 342, 338, 630
The greatest common divisor of numbers 646, 342, 338, 630 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 646, 342, 338, 630 is 2.
1. What is the GCD of 646, 342, 338, 630?
GCD of given numbers 646, 342, 338, 630 is 2
2. How to calculate the greatest common divisor of 646, 342, 338, 630?
We can find the highest common divisor of 646, 342, 338, 630 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 646, 342, 338, 630 i.e 2.
3. How can I use the GCD of 646, 342, 338, 630Calculator?
Out the numbers 646, 342, 338, 630 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.