Online GCD Calculator is useful to find the GCD of 342, 648, 307, 363 quickly. Get the easiest ways to solve the greatest common divisor of 342, 648, 307, 363 i.e 1 in different methods as follows.
Given Input numbers are 342, 648, 307, 363
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 307 :
The positive integer divisors of 307 that completely divides 307 are.
1, 307
Divisors of 363 :
The positive integer divisors of 363 that completely divides 363 are.
1, 3, 11, 33, 121, 363
GCD of numbers is the greatest common divisor
So, the GCD (342, 648, 307, 363) = 1.
Given numbers are 342, 648, 307, 363
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 307 are 307
Prime factors of 363 are 3 x 11 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 342, 648, 307, 363
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, 307) = 5526
GCD(18, 307) = ( 18 x 307 ) / 5526
= 18 / 307
= 18
Step3:
LCM(1, 363) = 363
GCD(1, 363) = ( 1 x 363 ) / 363
= 1 / 363
= 1
So, Greatest Common Divisor of 342, 648, 307, 363 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 342, 648, 307, 363
The greatest common divisor of numbers 342, 648, 307, 363 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 648, 307, 363 is 1.
1. What is the GCD of 342, 648, 307, 363?
GCD of given numbers 342, 648, 307, 363 is 1
2. How to calculate the greatest common divisor of 342, 648, 307, 363?
We can find the highest common divisor of 342, 648, 307, 363 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, 307, 363 i.e 1.
3. How can I use the GCD of 342, 648, 307, 363Calculator?
Out the numbers 342, 648, 307, 363 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.