Online GCD Calculator is useful to find the GCD of 342, 648, 630 quickly. Get the easiest ways to solve the greatest common divisor of 342, 648, 630 i.e 18 in different methods as follows.
Given Input numbers are 342, 648, 630
In the factoring method, we have to find the divisors of all numbers
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 648 :
The positive integer divisors of 648 that completely divides 648 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
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 (342, 648, 630) = 18.
Given numbers are 342, 648, 630
The list of prime factors of all numbers are
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 630 are 2 x 3 x 3 x 5 x 7
The highest common occurrence is 21 x 32
Therefore, GCD of 342, 648, 630 is 18.
Given numbers are 342, 648, 630
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(342, 648) = 12312
GCD(342, 648) = ( 342 x 648 ) / 12312
= 342 / 648
= 342
Step2:
LCM(18, 630) = 630
GCD(18, 630) = ( 18 x 630 ) / 630
= 18 / 630
= 18
So, Greatest Common Divisor of 342, 648, 630 is 18
Here are some samples of GCD of Numbers calculations.
Given numbers are 342, 648, 630
The greatest common divisor of numbers 342, 648, 630 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 648, 630 is 18.
1. What is the GCD of 342, 648, 630?
GCD of given numbers 342, 648, 630 is 18
2. How to calculate the greatest common divisor of 342, 648, 630?
We can find the highest common divisor of 342, 648, 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 342, 648, 630 i.e 18.
3. How can I use the GCD of 342, 648, 630Calculator?
Out the numbers 342, 648, 630 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.