Online GCD Calculator is useful to find the GCD of 684, 543, 544, 252 quickly. Get the easiest ways to solve the greatest common divisor of 684, 543, 544, 252 i.e 1 in different methods as follows.
Given Input numbers are 684, 543, 544, 252
In the factoring method, we have to find the divisors of all numbers
Divisors of 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 543 :
The positive integer divisors of 543 that completely divides 543 are.
1, 3, 181, 543
Divisors of 544 :
The positive integer divisors of 544 that completely divides 544 are.
1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
Divisors of 252 :
The positive integer divisors of 252 that completely divides 252 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
GCD of numbers is the greatest common divisor
So, the GCD (684, 543, 544, 252) = 1.
Given numbers are 684, 543, 544, 252
The list of prime factors of all numbers are
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 543 are 3 x 181
Prime factors of 544 are 2 x 2 x 2 x 2 x 2 x 17
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 684, 543, 544, 252
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(684, 543) = 123804
GCD(684, 543) = ( 684 x 543 ) / 123804
= 684 / 543
= 684
Step2:
LCM(3, 544) = 1632
GCD(3, 544) = ( 3 x 544 ) / 1632
= 3 / 544
= 3
Step3:
LCM(1, 252) = 252
GCD(1, 252) = ( 1 x 252 ) / 252
= 1 / 252
= 1
So, Greatest Common Divisor of 684, 543, 544, 252 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 684, 543, 544, 252
The greatest common divisor of numbers 684, 543, 544, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 543, 544, 252 is 1.
1. What is the GCD of 684, 543, 544, 252?
GCD of given numbers 684, 543, 544, 252 is 1
2. How to calculate the greatest common divisor of 684, 543, 544, 252?
We can find the highest common divisor of 684, 543, 544, 252 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 684, 543, 544, 252 i.e 1.
3. How can I use the GCD of 684, 543, 544, 252Calculator?
Out the numbers 684, 543, 544, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.