Online GCD Calculator is useful to find the GCD of 549, 504, 678, 364 quickly. Get the easiest ways to solve the greatest common divisor of 549, 504, 678, 364 i.e 1 in different methods as follows.
Given Input numbers are 549, 504, 678, 364
In the factoring method, we have to find the divisors of all numbers
Divisors of 549 :
The positive integer divisors of 549 that completely divides 549 are.
1, 3, 9, 61, 183, 549
Divisors of 504 :
The positive integer divisors of 504 that completely divides 504 are.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
Divisors of 678 :
The positive integer divisors of 678 that completely divides 678 are.
1, 2, 3, 6, 113, 226, 339, 678
Divisors of 364 :
The positive integer divisors of 364 that completely divides 364 are.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
GCD of numbers is the greatest common divisor
So, the GCD (549, 504, 678, 364) = 1.
Given numbers are 549, 504, 678, 364
The list of prime factors of all numbers are
Prime factors of 549 are 3 x 3 x 61
Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7
Prime factors of 678 are 2 x 3 x 113
Prime factors of 364 are 2 x 2 x 7 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 549, 504, 678, 364
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(549, 504) = 30744
GCD(549, 504) = ( 549 x 504 ) / 30744
= 549 / 504
= 549
Step2:
LCM(9, 678) = 2034
GCD(9, 678) = ( 9 x 678 ) / 2034
= 9 / 678
= 9
Step3:
LCM(3, 364) = 1092
GCD(3, 364) = ( 3 x 364 ) / 1092
= 3 / 364
= 3
So, Greatest Common Divisor of 549, 504, 678, 364 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 549, 504, 678, 364
The greatest common divisor of numbers 549, 504, 678, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 549, 504, 678, 364 is 1.
1. What is the GCD of 549, 504, 678, 364?
GCD of given numbers 549, 504, 678, 364 is 1
2. How to calculate the greatest common divisor of 549, 504, 678, 364?
We can find the highest common divisor of 549, 504, 678, 364 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 549, 504, 678, 364 i.e 1.
3. How can I use the GCD of 549, 504, 678, 364Calculator?
Out the numbers 549, 504, 678, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.